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April 14, 20260 citationsOpen Access

Properties of compact U(1) gauge theory on the FCC lattice: Regge gravity, the conformal factor, and the gravitational hierarchy

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AWAndrew Wright

Key Points

  • The aim is to explore the gravitational properties and conformal factors in compact U(1) gauge theory on the FCC lattice.
  • Utilized FCC honeycomb as a Regge triangulation
  • Analyzed gravitational hierarchy and conformal factor
  • Proved eigenvalue properties analytically
  • Identified zero negative eigenvalues in the conformal factor problem
  • Established gravitational hierarchy F_grav/F_EM as 2.89 x 10^-43
  • Demonstrated consistent graviton propagator behavior converging to 1/k^2

Abstract

Paper V of "Properties of compact U (1) gauge theory on the FCC lattice" (12 April 2026). The FCC honeycomb is an exact Regge triangulation with zero deficit angles. GW: 2 polarisations, speed c. Hierarchy Fgrav/FEM = exp (-S₀) /alpha = 2. 89 x 10^-43 (20%). Conformal factor problem resolved (zero negative eigenvalues, analytical proof). Graviton propagator converges to 1/k².

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Cite This Study

Andrew Wright (2026) studied this question.

synapsesocial.com/papers/69ddda22e195c95cdefd7a67https://doi.org/10.5281/zenodo.19536228
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