Amos Jay Maley. Constraint Architectures for Coherent Evaluability (Mind Paper). 2026-05-04. DOI: 10.5281/zenodo.20055534.
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Overview
This paper develops a formal constraint architecture for coherent evaluability in fixed-domain admissible evaluation systems.
Rather than presenting a permissive taxonomy of evaluative regimes, the framework treats coherent evaluability as a structurally constrained phenomenon. The central claim is that non-degenerate coherent evaluability imposes preservation requirements whose surviving kernel forces admissibility structure, quotient-interface formation, transport covariance, and structural persistence conditions.
The manuscript integrates:
admissibility-preserving transport,
witness-coherent evaluation,
quotient-interface reduction,
structural persistence,
fail-closed enforcement,
irrecoverable standing failure,
admissibility-bearing operator envelopes,
and fixed-domain trajectory coherence
into a unified formal architecture.
Main Results
The paper proves that coherent evaluability under fixed-domain admissibility constraints forces:
admissibility-preserving quotient-interface structure,
transport covariance under identity-preserving transformation,
kernel instantiation,
witness-coherent evaluative reduction,
and structural persistence conditions.
Additional results include:
no admissibility-preserving hidden evaluative remainder,
no competing same-domain admissibility gate,
no deeper standing-bearing layer beneath tensor content,
impossibility of symmetric self-location without invariant asymmetry,
impossibility of post-selection repair,
fail-closed coherence propagation,
and rigidity of quotient interfaces up to admissibility-preserving equivalence.
The framework also develops:
admissibility-preserving interface categories,
witness-basis equivalence structure,
hybrid reduction and exhaustion behavior,
operator-envelope exhaustion,
boundary-trace fixation,
AMetric non-selection,
and trajectory-level irrecoverability theorems.
Conceptual Position
The framework is explicitly not intended as a descriptive catalog of possible evaluative systems.
Instead, it functions as a constraint architecture:
structures incompatible with coherent admissible evaluability fail instantiation,
admissibility-bearing alternatives collapse under preservation constraints,
and quotient-interface structure emerges as the minimal surviving evaluative organization under non-degenerate coherent continuity.
The resulting architecture operates at a meta-foundational level, characterizing structural conditions for coherent admissible evaluation rather than proposing a merely optional formal framework.
Scope
The paper works strictly within:
fixed-domain evaluative systems,
admissibility-preserving transport,
finite trajectory structure,
witness-coherent evaluation,
and fail-closed standing regimes.
It does not attempt to treat:
cross-domain transport,
unrestricted branching systems,
infinite evaluative developments,
phenomenological consciousness,
or unrestricted evaluative pluralism.
Formal Structure
Core structural components include:
admissibility-preserving transport,
witness extraction and coherence,
quotient-interface construction,
kernel instantiation,
anchor–tensor–skin role structure,
admissibility-preserving operator envelopes,
boundary fixation,
irrecoverable trajectory collapse,
and admissibility-preserving interface morphisms.
The framework is closure-oriented and recursively constraint-stable under hostile reinterpretation attempts.
This paper is downstream of:
Minimal Conditions for Admissible Construction
The Structure of Admissibility
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