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May 14, 20260 citationsOpen Access

ISC 1.0: The 45-Channel Hypothesis - A Zero-Parameter Derivation of H0 and S8 from α v2: Cl(4,1) Derivation

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YGYony Daniel Almeida Gamarra

Key Points

  • The aim is to derive cosmological parameters H0 and S8 using a group-theoretic approach without free parameters.
  • Replaced phenomenological ansatz with group-theoretic proof from Clifford algebra Cl(4,1)
  • Derivation of the gauge loss factor from first principles
  • Model predictions include matching H0 and S8 with observational data.
  • Predicts H0 = 70.6 km/s/Mpc and S8 = 0.759 without ΛCDM parameters
  • Estimates 45 log-periodic suppressions in P(k) with Δln k = 0.084
  • Falsifiable by Euclid DR2 in 2027.

Abstract

This is Version 2 of DOI 10.5281/zenodo.20114308. V2 adds Appendix A deriving the 12α gauge loss factor from Clifford algebra Cl(4,1), replacing the phenomenological ansatz with a group-theoretic proof. Original v1: https://doi.org/10.5281/zenodo.20114308Version 2: Updated with Appendix A deriving the 12α gauge loss factor from Clifford algebra Cl(4,1) and the group-theoretic projection so(4,1)→so(3,1). The phenomenological ansatz is replaced by a first-principles derivation. ISC 1.0 proposes that late-time cosmological parameters H0 and S8 emerge from holographic decoherence in de Sitter space dS5. The fine-structure constant α fixes a discrete channel count N=45 via α⁻¹ = 3N+2. The 12 broken channels are now derived from Cl(4,1), giving gauge loss 12α. With bulk-phase ηΛ = 1.0083, the model predicts H0 = 70.6 km/s/Mpc and S8 = 0.759, matching R21 and KiDS-1000 without ΛCDM parameters. Predicts 45 log-periodic suppressions in P(k) with Δln k = 0.084, falsifiable by Euclid DR2 in 2027. Zero free parameters. Related to Discussion Paper: 10.5281/zenodo.20129587

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Yony Daniel Almeida Gamarra (2026) studied this question.

synapsesocial.com/papers/6a0567a8a550a87e60a1fcc9https://doi.org/10.5281/zenodo.20129769
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The 45-Channel Hypothesis in ISC 1.0: A Phenomenological Framework Linking α, S₈, and Discrete Decoherence2026
  2. 2ISC 1.0: The 45-Channel Hypothesis - A Zero-Parameter Derivation of H0 and S8 from α [v2: Cl(4,1) Derivation]2026
  3. 3Resolution of the S8 Tension via 45-Channel Decoherence2026
  4. 4The Standard Model from the CM Point of y² = x³ + 12026
  5. 5Hu's Cosmic Spacetime Origin Theory (HCSOT): A Unified Modified Gravity Framework for Dark Matter, Dark Energy, the Hubble Tension, and Cosmic Tensions — V8.6 with Pre-Registered Euclid DR1 Weak-Lensing Prediction (+5.5% to +8.0% at k=0.1 h/Mpc)2026