Constraint-Based Realization: Canonical Closure and Exact Empirical Exposure
Duran Iv, Robert, R.D · HAL (Le Centre pour la Communication Scientifique Directe) · 2026
This paper presents Constraint-Based Realization (CBR) in canonical form as a single-outcome realization-law framework intended to compress the theory into an exact mathematical and empirical object. A canonical realization law is defined over a restricted admissible class of realization channels and shown, under the stated admissibility axioms, to be structurally representable rather than freely selected. Under additional regularity conditions, the selected realization channel is unique up to operational equivalence. Within the canonical admissibility structure, the paper further proves a local probability-closure result: admissible refinement, operational invariance, symmetry, normalization, nontriviality, and regularity force quadratic modulus weighting, excluding distinct normalized nonquadratic alternatives.To render the theory empirically vulnerable, the paper defines an operational accessibility parameter η for record-bearing measurement contexts, identifies a critical accessibility regime η_c, and embeds the theory in a designated delayed-choice record-accessibility protocol family. Relative to a validated standard-quantum baseline comparator, it derives a bounded accessibility-signature regime, a lower-bound deviation structure conditional on nontrivial accessibility relevance, and a detectability theorem for the instantiated canonical response. A bounded nuisance class is then introduced, together with a nuisance-separation theorem and a strong-null failure condition: if validated baseline-class behavior persists across the accessibility-critical regime under the declared detectability conditions, the instantiated canonical model is false.The paper does not claim universal closure over all realization-law alternatives, final universal Born-neutrality closure across all admissibility geometries, or broad empirical deviation across ordinary measurement settings. Its claim is narrower and more exact. It presents CBR in canonical law form, restricts its admissible realization class, secures restricted uniqueness and local weighting closure within that class, operationalizes accessibility, and places the resulting theory under a finite, public, protocol-specific empirical burden. In that sense, the paper advances CBR from a distributed research architecture to a canonically specified and experimentally vulnerable theory candidate.