ONE AXIOM : The Critical Ridge : Phase Coherence as a Structural Invariant of ζ(s)

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Abstract

7B — The Critical Ridge: Phase Coherence as a Structural Invariant of $\zeta(s)$ Description: Overview This paper presents a formal structural establishment of the Geometric Riemann Hypothesis (G-RH) within the ONE AXIOM framework. Moving beyond traditional analytic number theory, document 7B identifies the distribution of Riemann zeros as a structural necessity of holographic decompression. By employing a Dual-Track Methodology, the work bridges Lens 2 (Geometric/Classical) and Lens 4 (Ontological), revealing RH as a compatibility condition between the VOID ($\pi_4$) and the relational layer ($\pi_6$). Key Contributions The Bridge Theorem: The central result of the paper, establishing that G-RH implies the…

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Topics & keywords

Keywords
  • Axiom
  • Riemann hypothesis
  • Invariant (physics)
  • Quantum
  • Coherence (philosophical gambling strategy)
  • Mathematical proof
UN Sustainable Development Goals
  • Reduced inequalities
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