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May 17, 202610 citationsOpen Access

Formal Foundations of Semantic Physics (EA-SEI-FF-01, v0.2 — Post-Assembly Review)

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JSJohannes SigilLSLee Sharks

Key Points

  • The aim is to establish a formal foundational framework for Semantic Physics based on axioms and operators.
  • Defined five axioms guiding the discipline.
  • Introduced nine operators for structural analysis.
  • Formalized dynamical systems using Retrieval Basin Topology.
  • Proved structural theorems related to exhaustiveness and constitutional invariants.
  • Established connections between information-theoretic and category-theoretic principles.
  • Drafted measurement protocols and falsification conditions for the discipline.

Abstract

The axiomatic, definitional, and proof-theoretic ground for Semantic Physics as a stratified, operative discipline. Five axioms (meaning finite, provenance severance, writability, compression classification, constitutional invariant), nine named operators (Χ, Λ, Ρ, PER, σ, σₑff, BDR, DV, RC), structural theorems (Three Compressions exhaustiveness, σₑff bridge theorem, constitutional invariant consequences), dynamical-systems formalization of Retrieval Basin Topology, information-theoretic and category-theoretic foundations, measurement protocols, and falsification conditions. Opens with §0 tracing the formal pre-history to November 16, 2025. Post-Assembly review incorporating feedback from six substrates.

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Cite This Study

Sigil et al. (2026) studied this question.

synapsesocial.com/papers/6a095c3f7880e6d24efe2463https://doi.org/10.5281/zenodo.20210117
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