ONE AXIOM : BRIDGES

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Abstract

ONE AXIOM BRIDGES: Possibility Selection Principle — Formalization, Collapse, and Born Rule Description: This document provides the formal mathematical bridge between the pure algebraic foundations of the ONE AXIOM project and its physical applications. It presents a rigorous derivation of the fundamental laws of physics starting from a single axiomatic symmetry group: G = S4 x Z2^3. Key Scientific Contributions: Derivation of the Born Rule (p=2): Proves that quantum probability is not a postulate but a theorem. The exponent p=2 is shown to be the unique solution emerging from the OCR-OER adjunction structure. Quantum Collapse as Domain Update: Formalizes "collapse" as a relational update of the Schreier graph…

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Topics & keywords

Keywords
  • Axiom
  • Spacetime
  • Domain (mathematical analysis)
  • Noncommutative geometry
  • Algebraic number
  • Causal sets
  • Curvature
  • Representation (politics)
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