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August 16, 20260 citationsOpen Access

ZQCM Theoretical Finalization (Volume III): Cosmology, Gravity, and Dark Matter

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QZQian Zhao

Key Points

  • To establish a comprehensive theoretical framework integrating cosmology, gravity, and dark matter to resolve persistent observational tensions.
  • Constructed a C0 dynamical dark energy model incorporating neutrino topological coupling.
  • Applied Coxeter geometric derivations and spectral path integral measures for fermions and gauge fields.
  • Analytically linked the grand unified theory (GUT) scale to the Planck mass and mapped the Sakharov conditions.
  • Derived a fixed dark matter mass of 0.97 keV along with its portal coupling cross-sections.
  • Linked the GUT scale to Planck mass with a -0.25% deviation via the C1 theorem and generated the observed cosmological constant via Coxeter exponential decay.
  • Geometrically satisfied all three Sakharov conditions to account for observed baryon asymmetry while predicting structure suppression parameters.

Abstract

This document ZQCM Theoretical Finalization Volume III V2. 1 completes the cosmological, gravitational and dark matter framework built upon Volume I and II. It constructs the C0 dynamical dark energy model with neutrino topological coupling to resolve the \ (₈\) tension, deriving testable \ (w₀\), \ (wₐ\) and structure suppression predictions. Rigorous Coxeter geometric derivations yield fixed 0. 97 keV dark matter mass and its portal coupling cross-sections. The C1 theorem mechanically links GUT scale to Planck mass with only −0. 25% deviation, while B11 uses Coxeter exponential decay to naturally produce the observed tiny cosmological constant. B13 geometrically maps all three Sakharov conditions to lock baryon asymmetry matching observational data. Spectral path integral measures for fermions and gauge fields are also provided as mathematical foundations. Several cosmological numerical predictions await full CLASS MCMC validation.

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Cite This Study

Qian Zhao (2026) studied this question.

synapsesocial.com/papers/6a817a21f2fb91fc834add3ahttps://doi.org/10.5281/zenodo.21930290
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