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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19655846 |
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Table of Contents:
- <p class="MsoNormal">Cosmic Information Theory (CIT/TIC) [1, 2, 3, 4, 5] proposes that the universe processes information through a scalar field Σ whose density, the Temporium τ , governs cosmological structure formation, dark matter, and the arrow of time. The geometric series on the Riemann Hypothesis [6, 7, 8, 9, 10, 11, 12, 13, 14] has independently developed a pseudo-Riemannian metric gij = ∂i∂j (− log |ζ|) on the critical strip of the Riemann zeta function, with a Lorentzian signature forced by analyticity, a geodesic at Re(s) = 1 2 , curvature singularities at the zeros of ζ, and a null constant t <span>∗</span> <span>≈</span> 5.5612 marking a phase transition. In this paper we establish the precise identification between the two frameworks: (1) The CIT information field is <span>Σζ</span> (s) = <span>−</span> log |<span>ζ</span>(s)| (2) The Temporium is <span>τζ</span> (s) = Kgij (s) (Gaussian curvature of gij ) (3) The CIT field equation <span>□</span>g<span>Σ</span> = <span>τ</span> is satisfied identically: <span>□</span>g(<span>−</span> log |<span>ζ</span>|) = n cn<span>δ</span>(s <span>−</span> <span>ρ</span>n) (4) The null constant t <span>∗</span> is the CIT phase-transition threshold between free propagation (t < t <span>∗</span> , Temporium-free) and captured regime (t > t <span>∗</span> , all Temporium charges) (5) The zeta black hole (pole at <span>σ</span> = 1) is the CIT event horizon: cold externally (TH <span>≈</span> 6 <span>×</span> 10<span>−</span>13 K) and processing information internally via the Bergman-Selberg. Seven of the ten central CIT predictions are formally realized within the geometric series. The remaining three (phantom elements, sub-neutrino mechanism, dark matter mass) are identified as targets for future work connecting the two frameworks.</p>