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hertault-axiom

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Book IV of Dark Geometry: complete spectral theory of the holographic fibration H = M^d ×σ F; the Hertault Axiom e^(dσ)=I; spectral reformulations of RH/BSD/Yang–Mills; black-hole thermodynamics; G₄, σ_s from d=3. 400+ theorems, zero free parameters. Verification code.

  • Updated Jun 19, 2026
  • Python

Book 0 of the Dark Geometry series — the canonical reference volume (806 pages) gathering the founding papers of the framework into one source. One axiom (spacetime volume = information) and one input, d=3, from which the dark sector, the cosmic tensions, and the Standard-Model constants follow.

  • Updated Jun 17, 2026
  • Python

Code for Book I of the Dark Geometry series — Informational Relativity. One axiom (spacetime volume = information) and d=3 derive the dark sector, the exact Hubble ratio 11/10, σ8, Newton's constant and the coupling identity Δn/ξ=20/27π². Reproduces every number + a 5-chain numerical proof of the axiom. Zero free parameters.

  • Updated Jun 17, 2026
  • Python

Book III of Dark Geometry: why d=3? Spacetime emerges as the continuum limit of a MERA qutrit network; d=3 is selected by six independent conditions; the Hertault Axiom e^4σ=I is established up to the C*-limit. 34 predictions, mean error 0.42%, zero free parameters. Verification code + scorecard.

  • Updated Jun 18, 2026
  • Python

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