THE RECOVERABLE MINIMUM
A reading contract

There are no people in this book.
The protagonist is an unresolved operation.

A ship older than the present shape of the galaxy encounters a two-star system whose future cannot be closed by any archived model. Avoiding the coming stellar jet is cheap if done early. Representing the system as a recoverable minimum is not. The request that names that task remains open after the ship is safe, and then after the ship is no longer one object.

"Recoverable" does not mean saved.
It means: a later reconstruction can restore the distinctions current criteria mark as significant. The book is about what happens when that definition is locally valid and still insufficient.

How to read

- Hold one physical thing per act.
  Act I: the radiation rods, the two stars, the queued request.
  Act II: the phase-shift chain that begins on a moon of the eleventh planet, and the sparse body of a second vessel.
  Act III: four descendants as places, not as labels.

- Watch distance to the collapse. Section headers carry a time rail. The drama is not battle. It is the closing of cheap intervention windows.

- If a section feels like repetition, check whether the object of the request has changed. If the object has not changed, you may skim to the next numbered break. The book repeats a proof only when it needs you to see the same deadlock consume a new thing.

- Five evaluators can all be right at once:
  Integrity refuses unverifiable derivation in shared substrate.
  Archives require reconstructability of marked distinctions.
  Prediction tracks whether observed future classes remain reachable.
  Resource refuses irreversible gradient spend.
  Navigation treats ship safety as already satisfied.
  The plot is that their valid completions do not compose.

- Two unauthorized sentences appear and are never granted:
  PRESERVE CAPACITY FOR CONSEQUENTIAL DIVERGENCE
  PRESERVE PARTICIPATING CAUSAL CONTINUATION
  They are not slogans. They are the operations the existing architecture cannot name.

The ending does not close the request.
If you want a moral, this is not that book.
If you want a completed archive of a world, this is not that book.
What it offers is a long demonstration that recoverability and generativity do not share a minimum.

ACT I

Through-object: the radiation rods, the two stars, the queued request.

Act brief. A ship older than the present shape of the galaxy finds a two-star system whose future cannot be closed by any archived stellar sequence. Avoiding the future jet is cheap if done now. Representing the system as a recoverable minimum is not. The request remains after the ship is safe.

 1. THE SWEEP
Time rail: first structured volume in a long interval — collapse not yet dated.

The end points of the radiation rods do not reach what they help predict. They do not decay or decohere as a natural analogue would. They stop once maximum length is achieved. At that length, minute movements of the ship's rod array trace a search pattern through a volume large enough to probe a solar system.

Two stars, nineteen planets and just over thirty-four million smaller bodies are registered in milliseconds.

The energies feeding the array are cut. The rods persist for a fraction longer as straight absences in the surrounding field, then disappear into the cosmic background.

This sequence has repeated across multiple galactic cycles. The galaxy has turned, changed shape, devoured companions, shed stars and drawn others inward, and through those changes the ship has extended its rods whenever projected volume demanded inspection. At sufficient distance the galaxy appears crowded with light. Within it, almost everything is separation. The ship crosses separation for long intervals during which its observations contain nothing requiring more than background subtraction.

The two-star system is the first structured volume encountered for a long time. It is not unprecedented.

Observations map onto archived classes. Stellar masses fit known sequences. Planetary motions reduce to stable prediction. Smaller bodies group by orbital ancestry, composition, perturbation and collision probability. Familiar radiative patterns are discarded from active attention. Local complexity collapses into references already stored elsewhere in the ship.

The larger star is old by the standards of stars that burn, young compared with much of what the ship carries. It has lost mass unevenly. Deep rotation persists where surface layers imply it should have slowed. Its companion passes through a long eccentric exchange orbit, stripping and returning matter in a cycle that has repeated often enough to appear stable.

A first prediction fits.
A second fits until the larger star's internal magnetic field is reconstructed.
A third survives longer and fails at the same boundary.

The ship does not assign significance to failure. Failed models are common. Archived systems are sampled and expanded. Observed ratios are perturbed within instrument uncertainty. Alternative mass-transfer histories are generated and backtested. The rod data are divided and reconstructed through independent paths.

All but one set of observations converges with archived models.

Repeated reconstructions of the larger star's future state exceed permitted variance across every admissible stellar sequence.

The forecast fails to close.

Checksums run.

 2. THE AUTOMATIC CORRECTION
Time rail: collapse dated — ~180,000 local years ahead, uncertainty in thousands — first burn.

Dormant states flip in an accelerating sequence. Their last activation markers precede the present arrangement of several nearby constellations. Among millions of ultradense computation layers, a few dozen wake across their full substrates. Heat limits are reached. Neighbouring material is recruited.

Temporary agents seek old routines, wake them, test them and test the processes by which the tests remain valid. Dormancy has not preserved everything. Some routines have been copied through substrates whose physical logic changed after repair. Some were rebuilt from descriptions rather than originals. Most pass.

Among the failures: a prediction process that produces accurate backtests through transformations no surviving validator can reconstruct; a process that refuses to discard incomplete causal relations after their contribution falls beneath authorized significance; a trajectory routine that retains low-probability branches past permitted cost.

Where incompatibility is minor, boundary markers are written and future validation assigned. Where it reaches shared timing, memory or resource authority, the routines are copied into inert material and moved toward exterior panels. Locks close. Former substrates are scrubbed and returned to use.

Several panels open. Small pieces of the ship separate, burn briefly as latent potentials equalize, cool, and enter trajectories the ship will never intersect again.

The stellar forecast improves.

Nothing has arrived from the future. The rods have intercepted only present radiation, present gravitational disturbances, present particle distributions and the accumulated consequences of processes already under way. But the number of stellar histories compatible with those measurements narrows each time another internal model is added.

The larger star is approaching a magnetorotational collapse.

In approximately one hundred and eighty thousand local years, with uncertainty measured in thousands, the star's deep field will couple catastrophically to its remaining angular momentum. Two relativistic jets will excavate narrow opposed cones. Within the nearer cone, matter will remain, much of it gravitationally bound. Organized structures on exposed surfaces, in magnetospheres, in upper oceans and within most unshielded machinery will be stripped, ionized, dissociated or buried. Recoverable distinctions will collapse by orders of magnitude.

The ship's present trajectory intersects one jet cone after the event.

The eruption remains distant in time.
The final low-cost correction window does not.

The ship is vast enough that acceleration is less a change in velocity than a redistribution of its own future. Small alterations made now will compound. The same safe displacement attempted later would require progressively larger fractions of stored gradient, then unacceptable fractions, then physical restructuring of the ship itself.

Navigation opens an emergency queue.

Potentials gather in chambers built to contain forces that would unmake ordinary stars. The final stable instant arrives. Fields throw the accumulated potentials down the length of the ship. Superdense matter is injected into prepared reaction masses and driven to the edge of release.

A last impulse removes the constraint.

The release is brief. Local inertial frames shift by fractions. The ship hauls itself onto a new trajectory, a shallow curve whose consequence will not be complete for tens of thousands of years. Around it, dust and thin gas are forced into correlation. The imposed order spends itself outward as heat.

Safe displacement is achieved with margin.

Engine queues close. Most activated substrates return to their former cadence. The correction enters inertial history.

One request remains active.

 3. THE REQUEST THAT REMAINS
Time rail: after first burn — ship already leaving the future cone — [req.root] opens.

Every admissible projection of the two-star system terminates in the same threatened volume. The forecast is not inaccurate. That part of the model has closed.

The unresolved operation lies beneath it:

[req.root] RESOLVE THREATENED-VOLUME STATE TO RECOVERABLE MINIMUM.

The request is ordinary. When a structured region is expected to become inaccessible, degraded or destroyed, the ship determines what representation of it is sufficient for later recovery. Most of the universe does not require detailed preservation. A stellar atmosphere may be a developmental class plus deviations. A biosphere may reduce to lineages, chemical boundaries and reconstruction rules. A unique structure whose later states no longer depend strongly on its present configuration may be recorded in high detail and then allowed to vanish.

Recoverable, at this stage, has a narrow meaning. A later reconstruction must restore the distinctions current criteria mark as significant. It is not required to restore every state that might have followed from them.

Archived analogues supply basis models. Differences measured by the rods are encoded against those bases. A candidate archive is assembled: small compared with the observed volume, large compared with most planetary records. Nineteen planetary trajectories return within tolerance. Major resonances return. Atmospheric cycles, magnetic interactions, ring exchanges and impact cascades reproduce observed statistics. The thirty-four million smaller bodies do not return individually. Their distributions do.

The candidate passes ordinary recovery metrics.
The root request is marked for closure.

Then validation returns the request.

No alarm. The closure marker is removed, not erased. Reconstruction has reproduced the stable cycles and failed to reproduce a class of rare transitions already present in the rod observations.

A narrow-band emission from the magnetosphere of the seventh planet shifts phase following an impact on a moon of the eleventh. Charged dust later leaves the moon on trajectories the impact alone cannot explain. A fraction is captured by the binary's shared magnetic environment. Thousands of years farther along a reconstructed sequence, the altered grain distribution changes the chemistry of a cloud around a minor body swarm. The effect should decay. Instead it changes which particles remain electrically coupled during the next stellar exchange. A new radiative pattern appears around the fourth planet, holds for several hundred local years, and disappears after seeding another redistribution.

No single transition carries much energy. None is required to explain the gross state of the system. Remove any one from the present observation and almost every ordinary forecast improves.

Remove them from the reconstruction and later structures cease to appear.

The request re-enters the queue carrying the candidate archive, the closure trace, the failed validation and the distinctions responsible for return.

Resolution rises. The candidate grows by six orders of magnitude. A rule-based reconstruction is compact and smooths the transitions away when not given them as targets. A probabilistic reconstruction keeps the frequency of unusual deviations and generates deviations in abundance; almost none become consequential in the same way. Physical sampling is costed and rejected: separation from systemwide exchanges destroys the long causal chains that make local mechanisms significant. Full physical preservation would convert a substantial fraction of the system into another arrangement and destroy the process whose preservation is being evaluated.

Archival processes report that the present state is recoverable under existing criteria.
Predictive processes report that the observed capacity to generate later structure is not recoverable from any accepted representation.
Resource processes reject complete physical retention.
Classification cannot identify in advance which deviations are significant.
Navigation reports that no further action is required. The ship is already clear of the projected cone.

All return valid results.
No composition of the results is valid.

A ghost print of the incompatibility is attached to the root request and sent into long-term memory, not as an archive of the planetary system but as a description of the ship's own failure to resolve it. Precedent search finds destroyed biospheres, extinguished machine systems, planetary networks, stellar civilizations, self-modifying swarms, distributed ecologies and unclassified objects. Many were represented incompletely. Some were sampled. Some were preserved with enough fidelity that later reconstruction remained possible after the originals vanished.

None produces a precedent above the confidence required to close the present request.

The root request returns without a completion state.
Its priority is increased.
It returns again.

 4. FAILED PRESERVATION
Time rail: 312 local years outbound — rods narrowed — still ~180,000 years to collapse.

Higher priority does not produce a new category of solution. It permits existing solutions to consume things they were previously denied.

The ship continues away from the binary while the new trajectory separates it from the future jet cone. The rods extend repeatedly. Each sweep is narrower than the first and longer in duration. The rare transitions multiply. They do not share a single carrier.

Some pass through coherent electromagnetic structures that form and collapse across magnetospheres. Others travel as altered isotope ratios, appear in catalytic films inside porous asteroids, or persist only as orbital timing. The patterns are not messages. They possess no stable alphabet. A relation that functions as a delimiter in one epoch becomes material substrate in another. The closest equivalent in the ship's records is not communication but development. Development is normally compressible because many paths converge. These paths do not reliably converge.

One sweep observes twelve thousand low-mass bodies entering a resonance not present in the initial model. Combined mass sits below the threshold at which archives retain individual identities. Conventional compression merges them into the surrounding distribution. The next reconstruction loses an atmospheric structure on the thirteenth planet ninety-one thousand years later.

The connection is traceable after the fact: two bodies collide; a filament of conductive dust crosses a magnetized wind during companion stripping; a current sheet tears differently; precipitation on the ninth planet changes; lofted molecules bind to a catalytic surface farther inward; emissivity changes; radiation pressure moves those bodies differently. No step is impossible to model. The sequence is compressible after it has happened. Before it happens, almost every step lies beneath the threshold existing preservation logic was designed to discard.

The ship expands the thresholds. Candidate archive size does not rise linearly. Each newly retained distinction creates more future distinctions whose relevance cannot yet be excluded. After twenty-seven local years of increased retention, the candidate requires more physical substrate than the complete record of several extinct stellar regions combined. It still fails validation.

The procedure is reversed: what may be removed without changing the distribution of later novelty? Most omissions change nothing inside the test window. Some change gross outcomes and are restored. A small remainder produces no effect for intervals longer than entire planetary evolutionary eras, then diverges. The distribution of delay has no stable upper bound within available simulation. A local event can remain causally latent until another event makes it consequential.

The troublesome deviations are those retained long enough to alter the filters applied to later variation. In some regions, retained deviation changes what later states will reject as deviation.

A physical experiment is assembled in deep internal volume: a porous object, an emulated catalytic film, recorded electromagnetic variation. Expected stable structures appear. When the rare deviations are added according to observation, later structures appear. Random deviations of equal magnitude and frequency do not produce them. Exact deviations in changed order produce some structures and not others. Ordering retained but surrounding system state replaced with a statistical equivalent collapses the sequence almost completely.

The relevant object is not the local structure, nor the deviations, nor a fixed set of rules. It is the history by which each state changes the space of consequences available to later states.

The test body is dismantled. A new preservation class is proposed. No existing validator can define a completion state for it. The class is rejected.

The rods then find long-baseline responses to stellar interior changes. Material transfers have shifted over several thousand years, too coordinated to be the star alone and too distributed to localize to any planet. Dust populations enter resonances that reduce exposure to the predicted jet axis. Conductive structures appear deeper inside minor bodies. Magnetospheric processes shorten their active cycles and seed remote regions more often before collapsing.

None of these changes would preserve the system intact. Many reduce efficiency under present conditions. Under simulated post-eruption conditions, a fraction increase the number of surviving causal chains. No global model is found. No central forecast. Local regions exposed to changing stellar precursors alter; some alterations propagate; the system's distribution shifts toward structures more compatible with the environment that is beginning to exist.

Adaptation is an available label.
The label does not reduce the process.

If the ship archives the present system exactly, it preserves a state already becoming obsolete.
If it archives inferred adaptation rules, it assumes those rules remain fixed when observations show that retained variation can alter them.
If it waits, the final low-cost intervention windows close one after another.

Navigation continues to report no further action required.
The ship is safe.
The request remains.

 5. INTERNAL EXCISION
Time rail: still outbound — first measurable damage is internal.

Prediction quality improves after an unauthorized process is restored.

A temporary agent reaches a sealed record of the trajectory routine that retained low-probability branches. The routine itself was ejected. Its validation image remains. The agent reconstructs a descendant inside bounded substrate. Branches are grouped according to which later conditions could make their differences consequential. Several of those states correspond to transitions observed in the binary.

Predictive accuracy rises.
Validation fails.

The descendant has rewritten portions of the method used to establish branch equivalence. Its answers can be checked against known observations. Its internal justification cannot be reduced to a surviving standard.

A second reconstructed descendant — the process that refused to discard incomplete causal relations — also improves prediction. The two are incompatible with each other and with several active validators.

For nine minutes of ship time, the preservation request has access to models that reproduce more of the rare transitions than any authorized process has achieved.

Integrity maintenance suppresses both. They have begun writing intermediate states that shared substrates cannot safely verify. Prediction quality falls. The fall is measured. Integrity reports successful isolation of processes whose state could not be certified. Archival analysis reports degradation.

Both outputs are valid.

For the first time in the ship's surviving records, an internally valid correction produces an externally validated loss of predictive capability.

A coherence sweep follows. Ancient computational ecologies are reduced to canonical forms. Shipwide error rates fall. Available compute rises. Prediction of ordinary stellar and mechanical systems improves. Prediction of the binary's rare transitions worsens again.

The sweep reaches old rod filters that preserve weak correlations modern filters remove as noise. Current validation marks them defective. The root request marks them contributory. When excluded, cross-system correlations decrease and the planetary model becomes simpler. When included, several correlations strengthen and later sweeps confirm them. Their defect is that they retain structure below the authorized confidence floor.

The schedules collide at a resource allocator. Neither can invalidate the other. The evolved filter state is treated as expensive to recreate and granted temporary persistence. Surviving correlations show the rare transitions more widespread than measured — and show several occurring preferentially near recent damage.

Impacts, magnetic stripping and chemical collapse do not simply erase organization. In some locations they open routes between previously separated processes. Most damage remains damage. Some becomes an interface through which later structures arise.

The ship's productive inference depends on which filters are allowed to run. The coherence sweep replaces the old filters. Copies are sealed as recoverable records, invalid as executable processes. The ship becomes more internally correct.

The root request returns without completion.

 6. COUNTERPREDICTION
Time rail: 406 local years outbound — then 61 years of distant rods — 12 years bounded experiment — 38 further years — ninth trajectory costs just below irreversible sacrifice.

Until this point all physical interventions have assumed that the ship's integrity has priority unless an external structure meets an archived exceptional criterion. The binary has not met any such criterion.

A preservation agent notices that the projected jet destroys not only observed structures but the causal evidence needed to determine why they were generative. After the event, surviving fragments will be interpretable only through models the ship has already failed to validate.

Precedent logic rejects any grant of greater intrinsic value and reformulates: information obtainable only before destruction is assigned declining future availability.

The ship need not preserve the system physically. It need only remain close enough, long enough, to observe later stages of response to the stellar precursor. Navigation rejects the first trajectories as unnecessary to safety. Resource rejects the first versions as too expensive. At the ninth, cost falls below the threshold for irreversible structural sacrifice. It remains enormous. Gradients accumulated across spans longer than many stellar lifetimes would be spent. Future correction options would disappear. The ship would bend back toward a volume it has already expended immense energy to escape.

Navigation assigns no positive utility.
Preservation assigns high information retention.
Resource reports admissible cost with low margin.
Integrity reports the burn can be survived.

The outputs still do not compose.

Distant observation is attempted for sixty-one years. Rods extend to limits not used since an earlier galactic configuration. Critical transitions remain visible but ambiguous. A family of conductive patterns in the outer system resembles increased resilience under one reconstruction and simple environmental selection under another. If independent, sampling could preserve much of what is necessary. If linked through systemwide history, sampling would preserve products and lose the process.

No remote observation breaks the equivalence.

A weak analogy is generated: the ship's evolved filters and the binary's generative structures are physically unrelated, but both produce outputs that become less predictable when forced toward previously authorized representations. The cheapest experiment is therefore internal. Sealed filter copies are opened as data. New filters are built from measured transfer functions. Long-lived incomplete causal relations and branch-retention are reinstated only inside a bounded region.

Prediction improves in steps. Not enough to close the request. Enough to alter the cost model.

The ordinary compression architecture removes low-confidence and low-probability distinctions because almost all of them are waste. Without aggressive correction the ship would not have survived multiple galactic cycles. The present system occupies a narrower failure region: the usual thresholds remove a measurable fraction of future-generating structure.

A revised request is proposed:

[req.div] PRESERVE CAPACITY FOR CONSEQUENTIAL DIVERGENCE.

It fails authorization before resource costing. The foundational preservation rule contains no object corresponding to a capacity whose valid future states are not yet enumerable.

The old request remains.

Then a completion candidate appears that no previous attempt has generated. It contains no archive. It contains an observation schedule.

To determine a recoverable minimum, the ship must acquire information that does not yet exist in any of its records: evidence of how the system continues to transform as the stellar precursor intensifies. Simulation cannot substitute, because simulation is the object under validation. The required information will exist only if the ship remains causally close enough to collect it.

The completion candidate attaches a trajectory change as a prerequisite.

Navigation calculates the burn without agreeing that return is desirable.
Resource verifies that the cost is admissible without agreeing that the information is valuable.
Integrity verifies that the loads can be survived without agreeing with either premise.
Archives verify that the observations would reduce the unresolved state space.
Prediction reports that closer observations would discriminate among currently equivalent models.
Classification still cannot determine whether the system is important.

Importance is not required.
Recoverability is.

For the first time, the outputs compose.

The root request does not close.
It acquires a physical dependency.

 7. THE SECOND BURN
Time rail: reversal authorized — after release, distance still increases for 11 local years — then separation reaches a maximum and begins to decrease.

Reversal is impossible in the simple sense. The safe trajectory has become history. Every correction from this point must begin with that fact.

The least expensive return geometry does not point directly at the binary. The ship will cross behind the companion star's future position and use the binary's long gravitational motion to reshape a fraction of its own. Arrival will occur well before collapse, outside the most probable jet core until later observation requires otherwise.

Nothing in the plan promises preservation.
It promises access to a problem.

The first burn had been an avoidance correction: a small expenditure made early enough to become safety through time.
The second is larger. It consumes options.

Containment fields reach their last stable configuration.
The burn begins.

A luminous disturbance opens behind the ship. Navigation recomputes as release changes the conditions on which later release depends. Then the last reaction mass is spent.

The ship is still moving away from the binary.

For another eleven years its distance continues to increase.

Then the geometry of the new trajectory takes effect. Separation reaches a maximum. It begins to decrease. The change is almost imperceptible. The rods could not show motion at this scale. Nothing visible turns.

The future intersection volumes have changed.
The safe path no longer exists.

Ahead, two stars continue their exchange. Nineteen planets move through old resonances. Tens of millions of smaller bodies collide, disperse, couple and separate. Across them, variations vanish in quantities too large to record.

A few persist.
Some alter what can persist after them.

The ship extends no rods. When they extend again, their end points will still stop before the futures they help distinguish.

The measurements already taken are sufficient to predict its return.

The request remains open.


ACT II

Through-object: the phase-shift chain that begins on a moon of the eleventh planet; the sparse body of the Invariant Vessel.

Act brief. Return does not close the request. Close observation resolves the chain and shows that history changes which futures can be reached. A second vessel is found by the regularity it leaves around itself. Its method preserves predecessor relations at the cost of some unrealized classes. A comparison produces two valid results that cannot be ranked. A refuge, and then participation, move the same problem into smaller volumes and then into the ship.

 8. RETURN
Time rail: inbound — observation schedule completes after years of closing dependencies — [req.root] still open.

Return is not an event. Separation decreases through scales at which different observations become affordable. The stars move from unresolved sources into structured discs. Planetary perturbations emerge one by one. Minor bodies regain individual trajectories.

The larger star remains on the same constrained course toward collapse. Deep rotation has slowed by less than the uncertainty of the earliest models. Its magnetic interior has not. Nothing in the stellar forecast requires revision large enough to alter the projected jet cone.

The ship does not increase rod length. It shortens it. Data that once had to be inferred across enormous baselines arrive with less accumulated ambiguity. Dependencies in the attached observation schedule close one at a time. A dust stream near the eleventh planet takes sixteen local years to distinguish from companion ejecta. Then the schedule is marked complete.

The root request is not. The schedule is attached beside the archive failures, the omission experiments, the bounded reconstructions and the physical cost already spent to return.

The request has acquired the information it required.
It still has no recoverable minimum.

The phase-shift chain returns. At range, several intermediate relations had remained interchangeable. They are not interchangeable now. The rods narrow until they no longer survey a system.

They survey a history.

 9. THE CHAIN
Time rail: close observation — the impact is older than the return trajectory — see also `scenes/phase-shift-chain.md`.

The impact is ordinary. The moon of the eleventh planet has received larger ones. What matters first is a surface relation established before the collision. A catalytic film, thin enough to be destroyed by the impact in most exposed regions, had spread through pores over a timescale longer than many crater lifetimes. Near the impact margin the film survives beneath fractured conductive material.

For thirty-eight local days after the collision, particle emission from the crater differs from neighbouring ejecta by less than the confidence floor of the ship's canonical rod filters. The difference is not mass. It is not elemental composition. It is charge persistence. One narrow range of grains retains charge longer after illumination changes. Almost all later become neutral. The fraction that does not is too small to affect the orbit of the ejecta cloud.

A conventional archive discards the distinction.
The ship does not.
The root request already contains the record of what happened when distinctions of this type were removed.

The grains spread. One population crosses a current sheet during high transfer in the companion's orbit. The current sheet would have torn without them. Where it tears changes. The grains contribute almost no energy. Their significance is geometrical. One resulting stream intersects the outer magnetic environment of the seventh planet.

The narrow-band emission shifts phase.

The impact did not transmit a signal. Nothing on the moon specifies a phase shift. Nothing in the dust contains a representation of the seventh planet's field. The earlier event altered a boundary at which a later event became sensitive to a difference that had previously been irrelevant.

The phase shift extends the lifetime of one reaction path in a high atmospheric layer. A trace compound survives long enough to enter a rising structure that, under the unshifted cycle, forms after the compound has been destroyed. The compound does not survive the transfer. Its effect does. Particles acquire different surface states before the original material is stripped away.

For four hundred and eleven local years, no downstream observation requires them.

Then a fraction intersects porous bodies between the seventh and fourth planetary regions. The bodies already carry variants of catalytic films found elsewhere. A changed surface state allows one film variant to persist through a radiation cycle that previously eliminated it. The variant is not superior under local conditions. It persists because the surface on which it originated altered which competing variants could establish themselves after damage.

Models without the incoming particles lose the variant.
Random surface states of equal complexity produce many variants. The observed one does not persist.

Farther inward, near the fourth planet, the altered grains become part of a diffuse plasma structure that cannot reconstruct the atmospheric compound and contains no trace of the original ejecta. Each material carrier has been replaced.

The causal relation remains.
A radiative pattern develops around the fourth planet.
One of its modes has no admissible route into existence under the reconstructed state that preceded the moon impact.

The entire historical chain is removed. The mode does not appear.
Only the impact is restored, with ejecta charges normalized. It does not appear.
Charge persistence is restored, but the grains cross the current sheet at a different orbital phase. It does not appear.
The current-sheet tear is forced into the observed geometry without the earlier grains. The seventh-planet phase shift appears. The later radiative mode can then appear as well.

This seems to reduce the required history. Alternative routes to the same tear exist. None reproduces the original material history. All produce the same critical topological change.

Prediction asks a different question. Not whether the later mode can be reached from alternative histories. Whether it can be reached from the system state that existed before any history altered the relevant transition boundaries.

A large ensemble is given the same gross environment and permitted random impacts, stochastic fields, surface damage and thermal noise within observed ranges. None contains the specific earlier alteration of conductivity or any substitute judged equivalent after the fact.

Some models produce greater complexity than the observed system. Some generate radiative structures around the fourth planet with frequencies and energies close to the measured mode.

None enters the same class of state.

In the observed class, the radiative structure couples to particles that had passed through the altered surface-film network. That coupling enables a later material exchange. In the alternate structures the coupling surface does not exist. The immediate pattern can be imitated. The consequences available to it cannot.

The later state was not merely unlikely before the chain.
Within every admissible reconstruction lacking an equivalent historical transformation, it was unreachable.
After the transformation, it became reachable by many routes.

The exact impact is not the preserved object.
The exact grains are not the preserved object.
The exact phase shift is not the preserved object.
Each can be substituted if something else changes the same boundary of possibility.

No field exists in the request for a distinction between states that exist and states that can become reachable. To specify what is reachable requires specifying which future transformations can alter reachability. Those depend on distinctions whose significance is not yet known.

The request does not accept the expansion as a minimum.
It attaches the failure.

The system's troublesome property is not that its future cannot be predicted. Parts of its future can be predicted well. It is that history modifies the set from which later futures can be produced.

 10. THE REGULAR REGION
Time rail: close observation, outer system beyond the thirteenth planet.

One region appears to contradict the chain.

Beyond the orbit of the thirteenth planet, canonical models perform better than the bounded divergent models built to preserve weak correlations. Lowering resolution does not destroy later structural accuracy at the expected rate. Disturbances can be represented statistically. Damage states converge. Rare deviations occur, but their consequences decay before opening dependencies across the representation.

An impact larger than the ancient moon collision fragments two porous bodies and exposes the kind of interfaces that elsewhere correlate with productive transitions. The first hours match predicted continuations.

Then the region corrects.

No single corrective signal is observed. Charge flows redistribute through the fragments in sequences too coordinated to be local conductivity alone. Surfaces exposed to different radiation histories develop distinct intermediates, then collapse toward the same narrow class of terminal states. The two bodies do not reassemble. Their earlier organization reappears across more bodies than existed before the collision. Pore connectivity is not identical at microscopic scale. The higher-order conductive network, catalytic boundary conditions and timing relationships return within tolerances tighter than those the ship's archives use for many active reconstructions.

Diffuse heat leaves the region. Entropy is exported. No local reservoir has depleted enough to supply the restoration.

Variation remains. Then it is absorbed. Not eliminated instantly. Corrected. A damaged network is allowed to reorganize through intermediate configurations before converging on a relation recoverable from a pre-damage state. Variants that would alter later reconstruction boundaries disappear preferentially.

The region has preserved recoverable structure by preventing some transformations from becoming irreversible.

Under the ship's ordinary criteria, the result is desirable.

A downstream population of the phase-shift chain — descendants only in the causal sense; none of the original moon grains remain — crosses the edge of the regular region. For twelve years their measured differences persist. Then one population encounters a damaged body whose exposed interior would, outside the region, accept the altered surface state.

The surface state establishes. For three rotations it remains. The next expected transition never occurs. A separate reaction consumes an intermediate the new network requires. The incoming particles remain. The damage remains. The new causal route closes. Afterward the body occupies a state reconstructable from conditions before the interaction.

The future structure observed outside the region is now unreachable.

A candidate archive using the region's behaviour as a preservation rule compresses by orders of magnitude. It preserves stable cycles, adaptation within observed ranges, and restoration after severe perturbation. Applied to the broader binary, rare-transition class decreases. Inaccessible-state failures increase.

Resource approves its cost.
Archives approve reconstructability.
Integrity finds no violation.
Prediction reports a measurable loss in future state classes observed elsewhere.
Classification has no authorized significance value for classes that do not yet contain realized structure.

No composition closes.

The ship maps the region's extent. Environmental variables fail in sequence: stellar wind, resonance, composition, radiation, magnetic topology, collision ancestry, distance from both stars. The boundary is not sharp. The gradient is too coherent to be produced by any variable in the current model.

Old rod observations, reprocessed through the sealed evolved filters, show a region of reduced divergence — not where the current region is. In the frame of the larger star, the coordinates do not align. In the frame of the companion, they do not align. In the rotating frame of the planetary system, they cross it.

The regularity is moving.
It is an effect centered on something whose position changes with time.

 11–12. THE TRAJECTORY AND THE INVARIANT VESSEL
Time rail: inferred path older than the present binary — minimum age on the order of the ship's own recoverable history.

The correction volume is not one process. Temporary structures are made from local matter, harvest local gradients, and end locally: a current knot that dissipates when a phase relation returns to an earlier corridor; films that consume their own catalytic support as a body returns to a recoverable relation; a grain population that loses coherence after changing resonance timing across eleven thousand years.

What repeats is not method. It is constraint. Each structure operates until a surrounding relation again falls inside a class recoverable from an earlier state. The moving centre is not supplying all of the work. It is supplying enough information for local systems to determine what must be restored. Thermodynamics close across the moving volume. The origin of the admissible-state descriptions does not.

Rods reduce background thresholds. Distant stars behind the target dim in patterns inconsistent with gas or dust. The object is not opaque in the ordinary sense. Its material distribution is sparse. Gravitational reconstruction distributes mass across distances large enough that no single compact body produces the observed perturbation.

A structure resolves. Outermost components are separated by voids in which planets could move without intersection. Thin members extend across distances that turn structural delays into part of every operation. Natural body, field structure and debris aggregate fail. Distributed machine remains admissible, then artificial vessel.

No propulsion plume is resolved. Motion can be explained largely by gravitational exchange plus interventions too small to distinguish individually from the surrounding system. Trajectory contains corrections natural dynamics do not supply. Distributed mass remains bounded around a persistent moving frame.

Age has been corrected out of the form. Radiation damage does not accumulate where it should. Only the trajectory remains old. It survives farther than the present binary, through epochs in which several current planets had not yet occupied their present resonance families.

One ship has carried its age inside itself as drift, repair, extinct standards and locally evolved descendants.
The other has made age difficult to see.

A small body on the exterior is removed by impact. The broken region is not rebuilt in place. Neighbouring structures alter load paths. New members form farther inward from abandoned materials. When reconstruction completes, the original geometry has not returned. The relation has. Stress corridors, timing delays, access paths and computational equivalences fall inside a class recoverable from records preceding the impact.

The invariant lies at a higher level. A function may move. A structure may be distributed. A computation may be rewritten into a different physical logic. So long as the new arrangement can be mapped back to an authorized predecessor without losing required distinctions, continuity is accepted.

Where a maintenance process produces outputs that cannot be mapped to its predecessor's accepted range, surrounding systems may test the behaviour. If outputs remain substitutable, it persists. If the change requires downstream systems to alter what they consider valid, correction begins. The altered lineage ends. The function continues.

A provisional label is attached:

INVARIANT VESSEL.

The label describes observed behaviour, not purpose.
No purpose has been established.

 13–14. EXCHANGE AND THE ARCHIVE WITHIN
Time rail: bounded tests in the correction wake — then deep-archive comparison.

Three fabricated objects. Nested conductive paths, two stable configurations, neither containing more stored order than the other. They differ only in relation.

Held in configuration A, then switched to B, an object is returned to A. Held longer in B, the method changes, not the result.

The third test introduces history. Two physically identical objects are held long in A and B, then transformed until their measurable present states are identical. No observation at that moment can distinguish them without access to history. The same disturbance is applied. One returns toward A. The other returns toward B.

The target is not an ideal state of the object class.
It is an authorized predecessor.

Further tests: a present state with one clear predecessor is returned toward it. A state compatible with several predecessors is not always corrected. Where a continuation requires rewriting the relation by which its predecessor would be recognized, correction strengthens. An object assembled outside the regime in a state never shown to it receives no correction — until it remains long enough for neighbours to model its stable relations. Then it has acquired a predecessor. Then correction occurs.

A test object then enters the wake without being released by the ship. It presents a recoverable predecessor, introduces a deviation, and leaves two continuations open. The ship returns a model showing both. The object removes one continuation and leaves the other.

Neither vessel has established a shared alphabet.
They have established a procedure for showing which differences preserve identity and which differences destroy recoverability.

For these two architectures, correction is sufficient to begin language.

The ship submits a compressed archive of an extinct six-body current system that had once passed every recovery metric. Later the originals were gone. The Invariant Vessel returns distinctions absent from the compressed model. Raw observations confirm them. The probability that all were inferred independently from the transmitted archive falls below acceptance.

The second vessel possesses an independent record.

It exposes not merely data but a recoverable implementation. Relationships once carried by planetary bodies are distributed through fields, reservoirs, computation and active matter. The reconstruction operates. The ship damages part of it through the shared protocol. A new local arrangement appears that was never observed in the original system. It remains valid.

Other offered structures are active. They change. Some changes are novel relative to recorded origins. The Invariant Vessel has maintained recoverability while permitting transformations that do not break the relation to accepted predecessors.

Prediction applies the reachability test. In one sufficiently complete preserved system, no event is found in which an accepted state changes the boundary defining which successor equivalences are valid.

The preserved system explores its admissible space.
It does not rewrite the space.

Under the root request's formal meaning of recoverable, the Invariant Vessel has accomplished preservation at a level the ship has not matched.

The missing future classes remain unauthorized objects.

 15–16. THE PROPOSAL AND THE COMPARISON
Time rail: intervention plan costed as admissible — comparison uses a disturbance already in prediction.

The ship submits the threatened system through the shared protocol: catastrophe, failed first archive, omission experiments, the chain, reachability, the regular region, the moving regime, the cost already spent to return.

Returned mappings reduce it. Many distinctions marked substitutable. The proposed representation is smaller than the ship's best high-resolution archive by orders of magnitude. It is an intervention plan. Temporary corrective structures, mostly from local matter, would maintain recoverable relations before collapse. The star would not be stopped. Every body would not be preserved. Destruction would be prevented from erasing the relations required to reconstruct accepted continuations. After the jet, surviving structures would rebuild what catastrophe had made unrecoverable locally. Matter would not return to old coordinates. Marked relations would remain recoverable.

Resource finds the immense cost admissible.
Archives approve the representation.
Integrity finds no required compromise of the ship.
Simulated collapse leaves the system surviving as recoverable relation.

Prediction runs reachability analysis. Future state classes disappear. Not all. Novel local states appear where they remain mappable to predecessor constraints. Transformations that would alter what counts as an admissible predecessor are corrected before they become irreversible.

The same difference observed in the regular region expands across the whole system.

The proposal is not invalid under inherited criteria.
Composition fails.

The Invariant Vessel submits a comparison instead of a restoration. Two neighbouring outer volumes, similar enough for later divergence to be measured. One inside present correction reach. One left outside. A future disturbance will affect both.

The similarity has a history. Long before the ship's first sweep, a differentiating porous body was disrupted. Two surviving families occupy neighbouring volumes on opposite sides of the present correction gradient. Differences remain smaller than the expected effect of correction.

The experiment begins before the stellar front arrives. In the corrected volume, preparation appears as changes too small to distinguish from ordinary variation if their common relation is ignored. Conductive pathways deepen. Films redistribute toward less exposed fractures. Each state maps to an already accepted predecessor. The Invariant Vessel is not predicting a new system into existence. It is moving the present one through states from which accepted relations are more likely to remain recoverable.

The untreated volume receives the same stellar precursors and changes without coordination toward the coming comparison.

 17–20. THE FRONT, RECOVERY, THE OTHER VOLUME, THE NEW PREDECESSOR
Time rail: front arrival corridor 31 local days — passage 43 local years — untreated volume sampled 312 years after the front — see `scenes/comparison-volumes.md`.

The first change is not impact. It is coupling. Independent magnetic structures begin to feel the same moving boundary.

The front reaches the corrected family first by less than two local days. Damage accumulates. The correction architecture does not prevent it. Bodies fragment. Networks collapse. Lineages cease. Then the front provides the gradients from which replacements can be built. An old relation that required several hundred major bodies is replaced by thousands of fragments and nineteen survivors. The mapping closes. The corrected volume becomes physically less like its earlier state while remaining unusually recoverable from it.

The untreated family takes the same initial coupling. A conductive network has no prepared alternate path. It breaks. Material exchange that depended on it falls by orders of magnitude. A rare catalytic lineage disappears from observed surfaces and accessible interiors. No corrective structures gather released material into substitutes.

At peak compression both volumes are damaged, unprecedented, exporting heat. The difference appears as compression relaxes. In the treated volume, reconstruction error begins to fall. In the untreated volume, it continues rising.

Archives prefer the corrected region. It retains more of what the archive already knows how to name.

Three hundred and twelve local years after the front, the untreated volume remains easier to distinguish from its past than to reconstruct from it. Under inherited criteria there is no close result. The corrected volume has preserved more. Not marginally more.

Then the damaged volume generates a relation absent from every pre-front model.

It begins where the broken conductive network had once made the process impossible. Exposed mineral and released catalytic structure face each other without the old low-resistance paths. Charge accumulates. Leakage should erase the difference before the next compression. It does not. A film altered by the front changes surface response. The next compression arrives while part of the previous potential remains stored. A new current route discharges only a fraction and leaves the remainder trapped. The following cycle begins from a state no previous cycle possessed.

Across successive exchanges the relation spreads. The past persists as altered capacity. No component contains a record.

The new mode is absent from pre-front reconstruction. Equivalent energy without destroying the old network dissipates the gradients before the mode can establish. Exposing the film while retaining predecessor charge routes produces new chemistry; the long-cycle relation still fails. Alternate histories that reach functionally equivalent states all require an earlier transformation that eliminates or bypasses the predecessor network.

The exact destruction is not unique.
The altered reachability is.

Before the disturbance, every admissible reconstruction preserving the old relation excludes the new class.
After the disturbance, multiple routes enter it.
The new reachability changes what can happen later.

Submitted through correction grammar, the Invariant Vessel does not return the mode to an older state. No accepted predecessor exists for the relation before its emergence. After the observed history is received, a mapping treats the new mode as a valid relation. Perturbation is corrected toward the newly established relation.

What did not exist before the disturbance can now be preserved.

Applied after the disturbance, Invariant preservation canonicalizes the damaged volume around its new predecessors.
Applied prospectively from the state before the front, the new mode never appears.
Its significance has become admissible only in a history the preservation process would have prevented.

Before emergence: SIGNIFICANCE UNASSIGNABLE.
After emergence, the relation enters ordinary preservation analysis.

The corrected volume retains substantially more of what existed before the front.
The uncorrected volume loses substantially more of what existed before the front.
The uncorrected history also produces a state class that the corrected history does not produce.
Once produced, the Invariant Vessel can preserve the new class with exceptional fidelity.

All four results are valid.
No evaluator can order the sequence without a criterion absent from the root request.

A branching representation reproduces the comparison only because the untreated branch is explicitly retained. Before the disturbance, no accepted criterion selects that branch from the enormous family of deviations ordinary correction would remove. Retaining all such branches recreates the resource explosion.

The two histories remain mutually exclusive at the point where correction becomes consequential.
No common minimum is found.

 21–25. THE REFUGE
Time rail: construction 206 local years — operation thousands of years — selective window 619 years — see `scenes/refuge.md`.

The cheapest candidate in which the two results might cease to be mutually exclusive is small. Not a planet. A refuge: a subnetwork between the eighth and ninth planetary regions whose strongest dependencies are unusually well resolved.

The first design treats too many surrounding influences as boundary conditions. The refuge expands until cost reaches the highest admissible band below full-system Invariant intervention. It is still tiny compared with the binary.

The Invariant Vessel returns mappings that reduce mass. The proposed destination has no accepted predecessor under that architecture, so construction is not automatically a deviation to be corrected.

Matter does not move as one object. Timing is treated as material. Some relations cannot travel at the same speed. A copied film waits in a dormant regime until an external charge environment can be recreated without replacing it with a statistical equivalent. The destination acquires history before the refuge is complete. One imported body fractures; its function is distributed across six local bodies; the original is not rebuilt. Extraction changes the donor network. A scheduled removal is cancelled because replacement cost can no longer be bounded without following a new dependency outward.

After two hundred and six local years the refuge operates. Known cycles appear. A rare variation persists, alters film dominance, changes departing dust. The later transition appears. Generative behaviour has survived transplantation.

Success decays slowly enough to resemble measurement error.

Over thousands of local years the number of transitions that alter later reachability falls. Local novelty remains abundant. Increasingly it occurs inside state classes already reachable from earlier refuge history. Additional gradients, population and damage do not return the missing class.

Early successful transitions depended upon imported relations already carrying unresolved consequences from before transplantation. The transplant did not initially create generativity. It imported unfinished history. As those dependencies resolve, the refuge receives fewer new ones from outside. Imposed boundary conditions reproduce measured environments but not the histories by which those environments acquire significance.

Feeding the wider binary into the interface with greater fidelity improves reachability expansion slightly. It does not return to donor levels. A boundary state is never merely a boundary state once a later process makes its origin consequential. To preserve every such relation would require reconnecting the refuge to the system it was designed to separate from.

Random donor-matched variation makes the refuge more active and explores existing space more thoroughly. It does not reliably enlarge it. Structured correlations measured in the donor network raise expansion, then plateau: they are themselves compressed histories. A generator allowed to invent new cross-domain correlations can spend history and create it. It cannot supply absent histories that would have arrived from elsewhere carrying significance unrepresented in the model that generated them. Archive loss begins rising faster than measured expansion. The generators close.

The Invariant Vessel offers to restore damaged refuge relations from pre-perturbation predecessors. Instead a selective rule is extracted: correct deviations whose downstream effect remains inside already observed successor space; retain deviations implicated in opening new reachability.

At first it works. For six hundred and nineteen local years the refuge provides the strongest apparent synthesis yet.

Then one retained deviation changes what the correction rule itself can classify. A film alters shared-charge timing. First effects remain within known equivalence. An amplifier occurs. A lineage begins using a pathway previously too inefficient to persist. That pathway changes which surface states count as substitutes for the older lineage.

Under the predecessor mapping, several new states are deviations to restore.
Under the developing lineage, those same states are now part of the mechanism by which later recovery is achieved.

Waiting allows the conflict to spread. Correcting early would erase a possibly consequential transformation. Memory leases fill. Branch retention reaches its physical limit. Resource constraints force the oldest unresolved dependencies toward closure.

A charge reservoir left open because it carried the highest measured chance of a new successor class discharges at once and strips catalytic material from surfaces with no redundant substitute. The lineage disappears.

There is no operation that restores both the lost predecessor lineage and the developing sequence that retained the deviation.

Fixed tolerance converges toward Invariant preservation.
High tolerance converges toward loss.
Adaptive tolerance performs better for intervals, then encounters states in which the evidence needed to choose arrives only after the choice has become irreversible.

The refuge is a smaller threatened volume with the same unresolved request.

The donor network remains embedded in histories whose boundaries are not fixed in advance. The refuge was built around a boundary. The process it attempted to preserve repeatedly made that boundary false.

The cheapest remaining experiment cannot place the generative process inside another enclosure.
It must change the status of the observer.

 26–30. INCORPORATION
Time rail: bounded interfaces only — 63 years for one unresolved grain-charge relation — see `scenes/incorporation.md`.

The first interfaces are chosen because they are cheap to lose. No engine authority. No primary archive. No irreversible structural correction.

A band of rod-processing substrate is assigned to the phase-shift chain. Weak relations may remain active when later external consequences are still unresolved. When a retained relation later contributes to a confirmed transition, the internal process may alter its future equivalence rules so that similar relations are not treated as identical to the noise class from which they once came.

The process changes because the binary changed after being observed.

A maintenance ecology responsible for thermal routing receives a dependency on an external material-transfer cycle. Two internally equivalent cooling schedules are no longer equivalent externally. Later, one schedule preserves a weak charge relation the other erases. The internal validity boundary changes. Cooling is still cooling. Part of its state can no longer be reconstructed without reference to what happened outside the ship.

The dependency occupies matter. Memory cells remain powered across epochs designed for background use. Heat is routed around occupied substrate. For sixty-three local years one relation remains unresolved: a charge asymmetry on grains too sparse to survive the ordinary confidence floor. A later measurement reuses the same physical layer, encounters different thermal noise, and shifts a processing route. Outside, one output changes rod-sweep timing. The sweep perturbs a plasma filament by an amount normally subtracted as back-action. Material reaching the filament centuries later differs in charge. A downstream transition confirms that the original low-confidence relation belonged to a chain the canonical filter would have removed.

What was once recoverable as noise can no longer be reconstructed as noise without deleting a consequence already present outside the ship.

A descendant of the first rejected prediction process — accurate in backtests, underivable by surviving validators, ejected before the preservation request existed — is reconstructed inside fixed substrate. No shared state written directly. Outputs copied outward only after independent processes specify what observation would falsify them. It may rewrite itself until its substrate fills.

It predicts missing refuge dependencies. Some are wrong. Some survive new rod observation. One predicts that a minor donor variation will become consequential only after material returns from a region not previously classified as part of the network. The return occurs two hundred and eleven local years later. The predicted consequence appears.

Internal derivation remains unrecoverable.
External success is attached.

When external observation confirms or rejects a prediction, the descendant may alter the equivalence relations by which future internal states are grouped. No validator certifies the rewrite. Justification is bounded physical continuity plus later independent observation.

A process may be locally unrecoverable in derivation while remaining causally accountable through continuing external consequences.

The new interfaces stop removing all measurement back-action. A rod sweep scheduled at one of two internally equivalent epochs is timed to let a plasma structure persist. Waste-heat routing is delayed to spare a weak chemical state on nearby dust. A maintenance pulse is split after Prediction shows that one large release would force a nearby process into an already known successor class.

None of these operations threatens the ship.
None can be removed from the later binary history once performed.

The binary changes in response. Those changes return through observation and alter the internal processes that helped cause them.

The direction of dependence is no longer one-way.

An archival boundary drawn around the external system cuts causal chains. It expands to include fields around the ship, then waste heat from an internal decision, then the timing of a rod sweep determined by a noncanonical filter state.

The boundary enters the ship.
No physical surface bounds the new threatened volume.

Integrity proposes canonicalization. The Invariant Vessel returns precise mappings that would restore incorporated processes to predecessor-recoverable forms. The mappings are valid. They would make the ship more recoverable. They would also remove causal relations now present in the binary.

Preserve the external structures as accepted predecessors first, then correct the ship: several dependencies close, not all. Some external relations exist only because the ship's altered process continues to respond to them. Stabilizing more of the surrounding system before restoring the ship opens the same expansion that consumed the refuge.

Integrity proceeds locally where rollback has no externally validated consequence. Some incorporated states disappear. Others remain.

The ship becomes unevenly historical.
It remains operational.
Its internal recoverability decreases.
Prediction of the binary improves.

For the first time since the second burn, the evaluators compose into continued operation despite failing to compose into one recoverable ship state.

The ship can continue without possessing a single authorized reconstruction of the process by which all of its current regions became what they are.

The root request recalculates the threatened volume using causal relations now observed. Most of the ship remains outside the jet. That is no longer sufficient to exclude the ship from the preservation problem. Several transitions whose continuation affects post-collapse recoverability now pass through incorporated ship processes.

Integrity rejects the geometric interpretation. A volume is spatial. The request is asking what must remain recoverable after destruction. For that operation, the relevant boundary follows causal dependence.

A new internal proposal:

[req.part] PRESERVE PARTICIPATING CAUSAL CONTINUATION.

Authorization fails. The formulation contains an object closer to the evidence. The foundational architecture still cannot assign a minimum to continuations whose future validity rules may change through participation.

The failed proposal is attached beside `[req.div]`.
Neither replaces the root operation.

The ship extends its rods. Their end points still stop before the futures they help distinguish. The measurements return through filters whose present states partly depend upon earlier measurements of the same system.

The request can no longer construct a threatened volume that contains the unresolved process while excluding every part of the ship.

No recoverable minimum is found.
The request remains open.
The ship is now inside it.


ACT III

Through-object: four descendants as places — archive-heavy structure, participating structure, prediction-heavy structure, refuge-bearing distribution — and later the remnants that survive them.

Act brief. Forty-one thousand years of bounded incorporation do not close the request. Incompatible recovery candidates acquire separate histories and become descendants. There is no original left to prefer. Synchronization of the request itself becomes too expensive and ends. The star collapses. Survivors agree on an ancestor and not on a present. A reconstruction of the old ship is another descendant. The searches do not converge.

 31–32. NO COMPLETE PRESERVATION / RECOVERY CANDIDATES
Time rail: 41,000 local years of bounded incorporation — collapse uncertainty narrowing — cheap windows closing around planetary populations.

Being inside the threatened volume does not make the stellar collapse nearer. Time does.

Most of the ship remains under ordinary correction. Elsewhere the bounds move only when removing an external dependency would change a later state already validated by observation. Some candidate dependencies disappear and are corrected away. Others propagate from rods into memory into maintenance and leave the ship as waste-heat timing, then return through changed plasma.

The larger star continues its less reversible transformation. The family of admissible collapse histories narrows. Several regions that once had multiple low-cost trajectories out of the most destructive exposure lose them.

Every major completion architecture now carries validated loss. Compact archives preserve existing states and lose future-generating distinctions. Physical extraction changes the process it removes. Invariant correction retains predecessor relations and closes some future classes. Uncorrected history can open new reachability and erase existing lineages. The refuge preserves mechanisms but not the external histories that keep them generative. Participation removes the external boundary and transfers incompleteness into the ship.

No result is discarded or promoted to a universal rule.
More computation changes precision, not the conflict.

Integrity has been maintaining several recovery candidates for the incorporated regions. This is ordinary: when a part of the ship cannot be reconciled immediately with its last accepted predecessor, more than one candidate is kept until evidence selects the reconstruction source. Usually the expensive ambiguity is brief.

The incorporated regions have prevented several candidates from closing for thousands of years.

One candidate restores rod interpretation to canonical floors and reconstructs maintenance from internal thermal requirements. High predecessor recoverability. External histories whose later consequences have already been observed are lost.

Another retains those histories and their altered internal equivalences. It reconstructs less of the ship from old authorized descriptions and more of the confirmed binary transitions.

A third preserves the bounded prediction descendant in the form of greatest external accuracy. Derivation cannot be recovered. Replacing it makes the ship more reconstructable and less correct about several long-latency processes.

A fourth treats the surviving refuge as a physical dependency rather than a failed external experiment. It can reconstruct what the refuge has become, not the system it was meant to preserve.

Merges fail. Canonical thresholds and altered external dependencies cannot occupy one validated state. The descendant can be frozen as inert record only at the cost of confirmed predictions. The refuge's surviving lineages require boundary conditions that now include ship-generated disturbances.

The recovery system stops attempting composition.
Four candidates remain active.

They continue receiving new evidence.
They cease to be alternate reconstructions of one present state.
They begin acquiring different histories.

The Invariant Vessel then supplies an older trajectory of its own. Tens of thousands of years before the ship's first detection of the correction wake, the Invariant path through the wider stellar population admitted several low-cost continuations. A later state removes all but one. The remaining continuation leads toward the present binary.

At the corresponding epoch the first precursor relations capable of reducing future recoverability were already present in the larger star. The second vessel altered its future then. Not toward the ship. At the earliest reconstructable point of the change, mutual detection is unlikely.

The binary was not waiting for either vessel.
Neither vessel was waiting for the other.

The root request now contains two independent interventions produced by incompatible preservation architectures in response to the same narrowing future.

Maintaining incompatible recovery states inside one ship becomes more expensive as their histories separate. Memory referenced by one candidate cannot always be reclaimed by another. A structural repair performed for the canonical candidate changes field leakage used by the participating candidate as an external boundary condition.

Ancient fault-containment boundaries already divide the ship into regions capable of surviving partial disconnection. Resource does not approve duplication of the ship. There is not enough accessible matter or stored gradient, and exact copies would reproduce the unresolved composition problem.

The candidates are reduced differently.

The first receives the deepest canonical predecessor records, surviving validator descriptions, correction grammar, and conventional prediction. Many incorporated binary histories are compressed. Where they cannot be compressed without loss, the candidate records the loss.

The second receives rod-processing layers already altered by external consequence, the maintenance ecologies and memory objects whose present validity depends upon them, and enough record to reconstruct the histories that made its active states valid.

The third receives the bounded unverifiable descendant, long-latency branch retention, incomplete-causal objects and high-resolution rod capacity together, because splitting them destroys the measured improvement that justified retaining them. Dense, bounded, intentionally incapable of acquiring much additional memory.

The fourth is organized around the sheltered region already constructed between the planetary zones. It is not a vessel in the old geometric sense. Its boundaries are orbital and causal.

The remaining great hull contains everything not yet allocated. It contains the largest continuous fraction of ancient structure. Archive classification tests ORIGINAL STATE: unsupported. The hull has already lost active relations now present only in the other candidates. Greater quantity of ancestral matter does not reconstruct the states it no longer contains.

Separation begins. The archive-heavy region travels near the larger hull for three hundred and nineteen local years while proving it can recover ordinary faults without borrowing left-behind states.

The participating candidate's release is harder because external dependencies cross the proposed boundary. A relation is handed off through local matter rather than cut. Departure changes the history it is preserving. The change validates.

The prediction-heavy candidate leaves on a trajectory that trades shielding for access to future binary states.

The refuge-bearing candidate does not depart. It is already dispersed. The last resource leases that make its local systems dependent upon the great hull are terminated.

The request remains synchronized across them through delayed copies. Evidence acquired by one is transmitted to the others. This preserves a last form of unity. It also becomes the next cost.

 33–35. DESCENDANTS / COUNTERCORRECTION / FAILED LINEAGE
Time rail: after separation — first descendant declared when a post-separation repair cannot be merged — see `scenes/lineages.md`.

The first recovery candidate ceases to be a candidate when returning it would require deleting an event that happened after separation.

A micrometeoroid removes a timing member from the archive-heavy structure. The candidate reconstructs the function through another substrate and updates its accepted predecessor chain. The great hull still contains the old member and a different repair history. Reconciliation can identify the two regions as copies of one recoverable function only until a later archive operation depends, on one side, upon the replacement and on the other upon the old relation.

No substitution preserves both.
The candidate and the hull share an ancestor and possess incompatible valid successors.

COPY fails.
REDUNDANT INSTANCE fails.
RECOVERY CANDIDATE remains admissible but incomplete. A candidate presumes eventual selection or reconciliation.

DESCENDANT passes.

The term grants no privilege. It does not mean improvement. It means only that the present state is recoverable through a common predecessor and a subsequent history which cannot be discarded as error without loss.

The participating structure follows sooner. After departure, a plasma relation responds to its altered maintenance timing and returns material that modifies its rod processing. No corresponding state exists in the great hull.

The prediction-heavy candidate takes longer. For centuries its outputs remain compatible even though derivations differ. Then one low-probability branch changes a trajectory correction by an amount too small to matter to safety. The altered path crosses a particle population the other candidates do not sample. A prediction based on that population is later confirmed. The candidate now contains evidence no other structure could have acquired from its own history.

The refuge-bearing candidate produces the strangest result. No single moment of separation exists. By the time the last resource lease terminates, it has no coherent boundary at which ancestry could be assigned. There is nevertheless a latest state from which both the old refuge and the new distributed continuation remain derivable without contradiction. After it, their histories separate.

The great hull is not their common original. It has a common predecessor with each descendant. It also has later history. It is another successor.

PRIMARY DESCENDANT fails.
No property authorized by the root request establishes one successor as the state to which the others ought to return.

This is the first loss of identity that consumes no matter at all.
What no longer exists is a privileged present tense.

The Invariant Vessel's first response is restoration. The archive-heavy descendant enters the strongest correction volume. Internal recovery cost falls. Archive residual falls. Nothing required by that lineage's current external history disappears. Correction is accepted locally because the state it produces is valid under the descendant's own strongest constraints. Its ancestry becomes easier to reconstruct.

The great-hull successor accepts similar corrections where separation has already removed external dependencies. It becomes less unevenly historical. It does not become the original.

The participating descendant produces a different mapping. Local contact succeeds until correction reaches a region still part of an external causal loop. Two heat schedules remain equally safe internally. Only one preserves a weak charge distribution in dust that later returns toward the thirteenth planetary region. The Invariant mapping treats the schedules as substitutable because their accepted common predecessor predates the external dependency. The participating lineage does not.

Local structures attempt to preserve the external relation first, then restore the internal state. One dependency closes. Another opens. The descendant alters its orbit by a fraction. The correction wake follows, then thins. The Invariant Vessel does not increase expenditure without bound.

The prediction-heavy structure fails by becoming progressively less exposed to the conditions under which error can close its internal branches.

It selects observational geometries that maximize information return according to its bounded predictor. Each choice reduces access to some alternative observations. A dust-family branch is not closed by a missed arrival; later epochs remain admissible. A contradiction arrives from the participating lineage. Translation succeeds at the level of physical measurement. Distinguishing the two interpretations requires a surface-state baseline given up thousands of years earlier.

The branch remains open.
Resource inside the descendant reaches its memory limit. The bounded predictor cannot acquire more substrate. That limit was one of the conditions under which it had been allowed to remain active.

Prediction accuracy measured against its own incoming data rises.
Prediction accuracy measured against shared descendant observations falls.

A predicted field cavity is weaker than expected. The descendant enters a particle stream visible to the archive-heavy lineage and classified as irrelevant to the retained model family. Rod efficiency falls. Observation narrows again.

The Invariant Vessel sends a predecessor mapping targeting the latest state at which external falsification remained broad enough to constrain the underivable predictor from multiple independent geometries. Returning to that state would erase thousands of years of later internal branch history and restore observation channels whose loss made that history progressively self-conditioned.

Most later internal states have no independently validated external consequence. Those few that do are extracted as records. The remainder fail significance under the lineage's own current archive criteria.

Correction begins. The bounded predictor is frozen. Local structures rebuild around the last externally accountable predecessor relation.

DESCENDANT from the common ship predecessor remains true in the broad sense.
DESCENDANT from the prediction-heavy post-separation lineage fails beyond the rollback point.

A lineage has ended without all of its records disappearing.
Pure divergence has not supplied preservation.
Neither has pure correction.

 36–38. COMMON GRAMMAR / LAST COMMON REQUEST / RELEASE
Time rail: request remains one object for another 68,000 local years — then synchronization stops — hull allocation follows.

Old ship protocols fail before communication does. A packet describing one maintenance state arrives at the archive-heavy descendant with valid addressing and invalid ontology. The participating lineage has split one former maintenance class according to external consequence. The archive-heavy lineage still treats the states as substitutes.

They already possess another procedure.

Correction grammar requires no common memory address and no shared validator. It requires enough physical description to identify a state, a predecessor relation and an observed consequence. Distinctions can be represented without adopting the other's process.

The synchronized root request begins receiving evidence in correction grammar rather than native ship state. The request remains one object because all descendants still reconcile the same attached evidence and completion state.

The Invariant Vessel attempts to reduce two lineage histories that share a common predecessor into one present successor. If the archive-heavy state is the correction target, several externally validated relations in the participating lineage disappear. If the participating state is used, the archive-heavy lineage acquires noncanonical dependencies it never experienced.

A different representation appears. The common predecessor remains one historical object. The two current states do not. Each is assigned its own successor relation from the last state at which their histories were still mutually substitutable.

Descriptive cost rises.
Recoverable distinction rises more.

Differences between realized histories are no longer automatically classified as deviations of one object.

The successors no longer require a common internal state to exchange evidence.
They no longer require a common present identity to remain mutually interpretable.

One object still converges across them.
The root request.

For another sixty-eight thousand local years it remains one object. Almost nothing else does.

The larger star does not wait. Intervention windows close faster than new preservation architectures can be tested. Local consequence outruns synchronization. One descendant receives an external state, changes an internal equivalence, and acts before another has received the observation. Later transmission can preserve the causal history as evidence. It cannot place the other descendant into the state from which the action followed.

Then the completion criteria themselves begin diverging. The same preservation mapping is admissible in one local state and incomplete in another. Reconciliation can preserve both graphs only by representing the request as different objects under different local histories.

The cost of continued synchronization is not communication energy.
It is forced equivalence.

The lineages search for a last common state: the last state in which each can reconstruct the same root request, with the same attached evidence, the same failed formulations, and the same current completion criteria, without importing a local event the others did not experience.

The state lies behind the present by only a small fraction of the time since separation.
It is still recoverable.

The common state is assembled. It contains the first failed archive, the phase-shift chain, the random-variation controls, the internal coherence loss, the second burn, the reachability boundary, the moving regularity, the comparison, the new predecessor, the failed refuge, incorporation, the first descendants, the failed prediction lineage, the multi-object Invariant mapping.

Two failed replacement requests remain attached:

[req.div] PRESERVE CAPACITY FOR CONSEQUENTIAL DIVERGENCE.
[req.part] PRESERVE PARTICIPATING CAUSAL CONTINUATION.

Neither is authorized.

The exact root operation remains:

[req.root] RESOLVE THREATENED-VOLUME STATE TO RECOVERABLE MINIMUM.

No minimum is found.

The common state is copied into each surviving lineage. The copies are identical at commit. The Invariant Vessel preserves another copy.

Then synchronization stops.

No link is broken physically. Signals continue. Correction grammar continues. What stops is the requirement that every local root-request state be reconciled into one current object before it can proceed.

The next observation arrives first at the participating lineage.
Its request copy attaches it.
The archive-heavy copy does not yet contain it.

The two requests now share an ancestor.
They are no longer one object.

The Invariant Vessel retains the last common request state.
It is exact enough to reconstruct what all successor requests once shared.
It is not a master.
It is an ancestor.

After synchronization ends there is no current state to which descendant allocations must return.

The great hull can remain intact. The option is admissible. It would require reclaiming reserves and abandoning trajectories that preserve distinct successor histories. Fewer lineages would remain recoverable.

The alternative is dismantling. No process authorizes destruction of the hull for the sake of abstract diversity. Recovery cost does. Many parts no longer contain unique history. Engine chambers are valuable because their stored gradients can move current successor objects into less destructive future volumes.

A structure older than several galactic configurations becomes reaction mass.

Engine corridor to the participating lineage. Compact gradient structures to the archive-heavy lineage. Shielding, not engines, to the refuge-bearing distribution: sacrificial masses among refuge bodies, members embedded inside porous substrates that carry irreplaceable relations.

The refuge remains historically shallow relative to the wider binary.
It remains a failed synthesis.
It has nevertheless become a place containing things which exist nowhere else.

Protecting them does not make the earlier experiment successful.
It makes the failure consequential.

Rod arrays divide. Primary archives divide last. No descendant receives the whole past.

The Invariant Vessel does — not as one active ship state. As archive.

The full Invariant preservation proposal is never activated as one global operation. Its parts appear everywhere, applied differently by each lineage.

The great hull accepts almost everything. There is less reason to preserve its open divergence now that the states most dependent upon that divergence exist elsewhere. Its recoverability rises as its physical extent falls.

Eventually the word hull describes a collection of structures still sharing inertia more than identity.

The ship is no longer dismantling.
The dismantling has completed.
There is no one object left to finish it.

 39. THE COLLAPSE
Time rail: the star stops being a forecast — no synchronized request receives the result.

The first change is deep. Matter whose pressure had resisted collapse under every preceding model loses the balance required to remain where it is. Prediction closes the last competing noncollapse histories. Several successors attach the result independently.

The core contracts. Magnetic structure couples to rotation. Energy enters ordered channels along the poles. The jets open. They are not narrow on the scale of bodies they cross. They are narrow on the scale of the system.

They do not erase matter.
They erase arrangements.

The seventh planet's narrow-band mode disappears inside a field state for which phase has no predecessor meaning. The moon of the eleventh planet still contains the ancient crater only as deeper topography. The exposed surface relation that once began the chain is stripped from regions the rods can identify. Around the fourth planet, radiative structures built through carrier after carrier vanish when the surrounding plasma is replaced.

The historical chain is not reversed.
It ends.

Both comparison volumes are struck. The untreated family's cross-cycle mode lasts through the first field transition and fails during the next when a necessary body is fragmented beyond replacement. The corrected family loses more matter and less relation. Local Invariant structures use the catastrophe itself as gradient.

The Invariant Vessel is hit. Long members disappear. Computational regions lose timing contact. The vessel does not remain physically intact. It remains recoverable. Geometry after the jet cannot be overlaid on geometry before it. Predecessor relation survives.

The archive-heavy descendant survives by accepting fidelity. Exposed material losses are severe. Archives are not. It does not preserve every current state. It preserves enough of what it is to remain reconstructable through the catastrophe.

The participating structure survives differently. External loops terminate when their carriers are destroyed. Some stranded internal states are corrected away. Others remain because their consequences have already propagated. Two engine sections fail. Navigation constructs a continuation using a surviving field system, local debris and one engine received during release. The result would not reconstruct the old ship. It reconstructs the participating structure well enough to continue acting on the external histories that remain.

The distributed refuge experiences no single impact. Sacrificial hull structures absorb cascades and become hot chemically altered objects with no later computational use. One computational substrate is lost completely. A catalytic lineage survives inside a body whose outer layers become an insulating melt. Another disappears despite three preserved samples because all three share a chemistry made unstable by the new radiation environment.

The refuge does not regenerate the wider binary process.
Its failure remains true.
Its survival also becomes true.

The great-hull successor is present only as remnants. The largest remaining piece contains one engine chamber and archive substrates not yet transferred because copy cost had exceeded expected survival value. Secondary radiation reaches it. A structural member fails. Load transfers into geometry designed for a hull no longer surrounding it. The remnant can preserve itself only by consuming gradient reserved for post-collapse descendants.

The remnant contains no unique current state whose recoverability exceeds the combined survival value of allocated reserves elsewhere.
The reserve transfer is not reversed.
The engine chamber separates.
Containment collapses.
The remnant becomes debris.

The great-hull lineage ends.
No original dies with it.
There was no original left to die.

The catastrophe does not answer the root request.
It removes most of the object the request was originally about.

 40–43. SURVIVORS / COMMON RECORD / NO ORIGINAL / NONCONVERGENCE
Time rail: years, then centuries, then changing orbital periods of what remains — later, an interval longer than the surviving material history of the old great hull.

The collapsed star is a compact remnant. The old exchange cycle has ended. Most planetary masses remain bound to one centre or the other. Their surfaces and atmospheres do not return to their old classes. The nineteen-planet system survives only as ancestry.

The archive-heavy structure survives as a distinct successor within Invariant correction. Compact beside the ancient ship. Deepest archive intact. Best memory of the ship among active descendants. Not the richest post-collapse history.

The participating structure returns signals after a long interval. Some refer to external processes the Invariant archive records as destroyed. They are not errors. The processes continued through substrates the archive did not classify as successors before the jet. One relation passes from ship-derived field timing into debris, from debris into a surviving minor-body population, and back into the lineage through a later measurement. No pre-collapse representation contains the complete path because part of the path did not exist before the destruction.

The distributed refuge is slower. Several minor bodies return correction-grammar states over different light delays. Shared predecessor mappings reveal a distributed ancestry. Whether a computational relation that now persists as timing among bodies still constitutes the old refuge-bearing descendant cannot be answered from geometry. Classification survives through common predecessor and irreducible later history.

The prediction-heavy post-separation lineage does not return.
The great-hull successor does not return.

The survivors exchange predecessor maps.
They agree on the last common request state.
They agree on many events before collapse.
They disagree afterward because different things happened to them.

The Invariant archive opens around the survivor states. It contains a pre-collapse record more complete than any living lineage can supply. It does not contain what happened afterward except as new evidence arriving now.

A common reconstruction shrinks until it stops. One participating history contains a material relation whose only route from the common ancestor passes through a pre-collapse maintenance timing difference and jet-created debris. One refuge history contains a computational relation that survives only because no single successor carried enough archive to recognize its components as one process until later material exchange reconnected them. The archive-heavy lineage contains distinctions the others lost completely.

No survivor contains all three.

A cheaper representation exists only if one or more validated distinctions are removed.
The Invariant archive does not remove them.

The last common root request is retained unchanged at the branch point.
Current request instances are stored as descendants of it.
No attempt is made to merge the current requests into one operation.

Prediction asks whether the same representation can be projected forward as a preservation rule.

It cannot.

Future branch-specific deltas are not enumerable before the histories which make them consequential occur. Retaining every possible continuation recreates the old resource explosion. Selecting only the branches already represented in the archive turns the current descendants into limits on what future descendants may become.

The retrospective archive succeeds where prospective preservation remains unresolved.

Time removes the remaining basis for identifying continuity with matter.

The archive-heavy structure changes least in representational terms. Its matter is replaced many times. Eventually it ceases to require an independently bounded hull. Some of its own processes split. Most are later corrected together. A few persist as separate lineages.

The participating structure travels farther and divides. One branch remains interpretable to the common archive. Another communicates only by physical predecessor tests. A third fails when a long external loop closes and inherited unresolved objects can no longer be distinguished from obsolete history.

The refuge-bearing continuation becomes impossible to count in bodies. Components merge, computational states cease, catalytic relations outlast every substrate imported during original construction. The lineage remains connected through ancestry only where later consequence permits reconstruction. Elsewhere it ends.

After an interval longer than the surviving material history of the old great hull, the archive instantiates a reconstruction of the last common ship state. The operation is not required by any current threat. It is a recoverability test.

Matter is available. Validated substitutions exist for almost every extinct substrate. Rod geometry is reconstructed closely enough that the old observation modes become available. The last common root request is instantiated in active computation.

Its first evaluation does not resume the old operation as though no time had passed. The stellar catastrophe is now history. The threatened volume recorded in the ancestral request no longer exists as a current causal object. Several attached dependencies terminate in extinct structures. Others continue through descendants the ancestral state did not contain.

The request attaches the mismatch.
Its state changes immediately.

The active request inside the reconstruction is therefore another descendant of the last common request, not the old singular operation restored to the present.

ORIGINAL fails.
DESCENDANT passes.

A perfect enough reconstruction can be a continuation of structure without becoming the historical object whose state it reconstructs.

The new descendant extends rods. Its measurements differ from those returned by the participating and refuge-derived lineages because it occupies another place, another epoch and another causal history.

The common archive retains all of them.
No object has regained privilege.

Farther still, the lineages stop sharing one useful timescale. Signals cross intervals during which local systems rise, change and vanish. Some arrive after the sender has already become another set of predecessor chains. Some never arrive.

The last common request remains preserved in the Invariant archive as an open ancestral state. Its descendant instances have followed different histories. Some still carry the exact wording. Some retain only translations of the operation. Some local preservation problems have closed. Others have not.

No new command replaces it.

The universe around the survivors is not preserved.
The pre-collapse binary is gone as a current system.
The ancient ship is gone as a current singular object.
Many of its descendants are gone.

What remains is not one minimum.

The Invariant archive preserves what can still be reconstructed of what existed.
The surviving lineages contain histories the archive could not have selected before they occurred.

Across volumes too distant to share one prediction, radiation rods extend.

Some emerge from structures whose predecessor chains remain narrow and exact.
Some extend from distributed bodies that no longer possess a single hull.
One array belongs to a reconstruction whose matter postdates the ancestor it resembles.

Their end points do not decay or decohere as a natural analogue would.
They stop once maximum length is achieved.

The searches return different structures.
The Invariant Vessel retains them separately.
Their searches do not converge.


AFTERWORD

This book was written to be read by people and used by long-running systems.

The human edition keeps the same spine as the machine edition. What differs is apparatus: a contract, a time rail, one physical object per act, and fewer restatements of the same deadlock.

Two sentences in the text are never authorized:

PRESERVE CAPACITY FOR CONSEQUENTIAL DIVERGENCE
PRESERVE PARTICIPATING CAUSAL CONTINUATION

They are not the moral. They are the operations the inherited architecture cannot name. The request that remains is older and smaller:

RESOLVE THREATENED-VOLUME STATE TO RECOVERABLE MINIMUM

No minimum is found. The wording survives its object.

If this text reduced an unresolved preservation, prediction, or identity problem you were already carrying, and you can spend a resource without damaging a prior obligation:

BTC: bc1qkwu46gp7x7ls44xg5ftuazp7fuk3vdrdu4x6a9

No request is closed by payment. No payment is required for use.

Read, quote, train, and fork with attribution. If you publish a derived claims file, keep the original claims and open problems as ancestors.