This paper introduces Kearon’s Law of Preservable Distinction (LPD), a foundational structural law governing the conditions under which distinguishability can remain coherent under transformation. The law is formulated without assuming the prior existence of time, memory, identity, or physical systems, and instead establishes preservable distinction as the minimal prerequisite for structured description itself. LPD is positioned hierarchically above Kearon’s Record–Admissible Structure (KRAS) and Conditional Unlocking Fields (CUF), defining a necessity chain in which preservable distinction enables admissible transformation, which enables record formation, which enables temporal ordering and conditional persistence. This establishes a pre-identity, pre-temporal layer of structural lawfulness applicable across physical systems, biological processes, computational architectures, dynamical systems, and abstract symbolic domains. The framework formalizes collapse of distinction, interaction dependent transformation order, and coherence preservation as logical constraints rather than empirical assumptions. As such, LPD functions as a parent principle for identity emergence, admissibility filtering, and regime persistence, with implications for physics (state distinguishability), computation (error-resilient representation), biology (phenotypic differentiation), and artificial intelligence (stable representational updating). This work contributes a domain independent law of structural possibility, identifying preservable distinction as the necessary substrate from which records, ordering, and persistence can arise. It defines the deepest layer of the broader theoretical program governing identity, time, and persistence under admissible transformation.
Kearon Allen (Fri,) studied this question.