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The work aims to establish the mathematical foundations for a pre-physical ontological layer using the ABC framework.

July 1, 2026Open Access

ONE AXIOM : ABC: Alignment-Based Coherence

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The work aims to establish the mathematical foundations for a pre-physical ontological layer using the ABC framework.
Employs Dual-Track (Cyclic-Binary Convergence) methodology.
Demonstrates mathematical necessity of a 4-fold structure.
Identifies allowed and forbidden states with specific ratio and density factorization identity.
Proved 136 results including 91 theorems, 36 corollaries, and 9 propositions.
Established a $51{:}13$ ratio of Allowed to Forbidden states.
Formulated density factorization identity $| ext{F}| imes ho_{ ext{rel}} = 13/64$.

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Theoretical exploration of a pre-physical structure and its mathematical implications.

Robert Spychalski (2026) studied this question.

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