Library / First Principles Framework (FPF) - Core Conceptual Specification
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Source changed 2026-10-03 08:25:59 UTC · snapshot created 2026-10-03 10:17:34 UTC · last check 2026-10-03 10:25:09 UTC

C.26:4.5 - State-representation coarsening card

This card discipline is active when a fuller state representation is too detailed, unstable, unavailable, or expensive for the current bounded decision and a reduced-detail state representation is useful only under a declared QL cue.

A.6.3.CSC carries controlled coarsened rendering; A.6.3.RT carries same-selected-entity representation-scheme transition; A.19, U.Dynamics, modeling patterns, and ordinary abstraction patterns carry ordinary state abstraction. C.26 carries only the residual QL cue plus the loss/use boundary for this shortcut.

Question-to-pattern map:

Main questionFirst FPF pattern or relation
Coarsened rendering of source episteme or source publication for narrower useA.6.3.CSC
Same-selected-entity representation-scheme or reasoning-medium transitionA.6.3.RT
Cross-context equivalence, substitution, projection, export, or lossF.9 for an exact SenseCell Bridge and its bounded-use claim; F.9.1 only for an optional stance note about that claim. Use the subject pattern for other export or loss claims. Keep the lens-specific preserved and lost structure here.
Measurement coordinate, scale, score, result, or dashboard readingC.16
Evidence carrier, provenance, method, support, or time windowA.10
Assurance claim, release support, audit, readiness, or compliance useB.3
Search-space pruning, option generation, or missing alternativesC.18, C.19, A.19
Residual QL state, probe, frame, export, or coarsening cue after those patterns actC.26

Start with this coarsening mini-card:

Mini-entryQuestion
SourceWhich fuller state representation, trace set, model, measurement scheme, or dynamics account loses distinctions in the shortcut?
ShortcutWhich smaller representation is being used instead, and for which bounded decision or action class?
LossWhich precision, distinction, uncertainty, comparability, traceability, or relation structure is lost?
Admissible useWhich bounded decision, probe, comparison, time-window reading, or action class remains admissible for this reduced-detail state representation?
Reopen triggerWhich dispute, drift, failure, threshold crossing, bridge demand, or decision change requires return to the source-bearing episteme or source publication?

For the representation shortcut itself, fill this coarsening card:

FieldQuestion
Source representationWhich fuller model, state space, trace set, measurement scheme, probability model, dynamics model, or representation loses distinctions in the shortcut?
Coarsened representationWhich typed, symbolic, finite, operator-like, Hilbert-like, rough-set, low-bit, or source-loss-affected representation is used instead?
Shortcut mechanismWhich projection, typed-state reduction, finite-dimensional representation, operator-like update, rough-set approximation, state aggregation, compression, or linearization is doing the representational work?
Shortcut purposeWhich bounded decision, probe, comparison, time-window reading, or action class needs the reduced-detail state representation?
What is lostWhich precision, distinction, uncertainty, compatibility, traceability, causal detail, or cross-context relation is lost?
Loss budgetHow much loss is accepted for this decision, probe, comparison, route, or time window?
Admissible useFor which decisions, probes, comparisons, candidate-route selections, or time windows does the shortcut preserve the required distinctions?
Non-admissible useFor which claims, audits, bridges, comparisons, future actions, or high-stakes decisions does the shortcut lack the required distinctions, source support, or recoverability?
Ordinary explanations still activeWhich ordinary abstraction, causal abstraction, approximate causal abstraction, state aggregation, representation learning, POMDP simplification, heuristic compression, CSC, RT, or low-bit implementation account remains sufficient if the QL cue is absent?
Evidence or formal sourceWhich model, trace, experiment, source, or formal argument supports the shortcut rather than merely naming it quantum-like?
Reopen triggerWhich dispute, drift, threshold crossing, failure, audit, bridge demand, or decision change requires consulting the source representation or checking the exact subject assertion under an ordinary FPF pattern?

If the text claims that the shortcut is faster, cheaper, more compressed, more linear, more stable, or more tractable, add this claim declaration. The claim is separate from the coarsening card: the card controls the reduced-detail state representation; the declaration controls the performance or tractability assertion.

Declaration fieldQuestion
Baseline representation and costWhat ordinary model or route is too expensive, and by which resource: time, memory, measurement, coordination, latency, energy, risk, attention, cognitive load, privacy, or social cost?
New representationWhich changed representation creates the claimed gain?
MechanismWhich compression, linearization, operator-state update, reduced information-state encoding, shortcut, or approximation mechanism creates the gain?
Claimed gainWhat exactly becomes faster, cheaper, more stable, smaller, or more tractable?
Loss or error budgetWhich precision, expressivity, compatibility, comparability, evidence-support class, traceability, or future-use loss is accepted for the intended use?
Admissible useFor which decisions, probes, comparisons, candidate-route selections, time windows, or action classes does the declared gain meet the required threshold?
Non-admissible useFor which claims, audits, bridges, comparisons, future actions, or high-stakes decisions does the declared gain fail the required threshold?
Ordinary alternativesWhich ordinary compression, approximation, abstraction, feature-engineering, active-inference, search, POMDP, or low-bit route was tried or remains sufficient?
Evidence or formal sourceWhich source, model, trace, worked case, benchmark, or formal analogy supports the claimed mechanism?
Reopen triggerWhich dispute, drift, threshold crossing, failure, audit, bridge demand, or decision change requires consulting the source representation or checking the exact subject assertion under an ordinary FPF pattern?

No speed, compression, linearity, or tractability claim follows merely from the words linear, operator, quantum-like, quantized, tokenized, low-bit, finite-dimensional, compressed, or symbolic.

If the shortcut carries a transition-speed, stabilization, or control claim, add the optional dynamics card:

Dynamics fieldQuestion
Rate or accelerationWhich transition, inference, recovery, sensing, routing, or stabilization rate matters?
InertiaWhat makes the represented state, work routine, boundary condition, or model slow to change?
Damping or resistanceWhat absorbs, slows, filters, or resists the transition?
Effort or actuator capacityWhich action, probe, resource, or authority relation can change the transition fast enough?
EvidenceWhich trace, model, experiment, or operational observation supports the dynamic reading?