What question did this study set out to answer?

The aim is to explore the gravitational properties and conformal factors in compact U(1) gauge theory on the FCC lattice.

April 14, 2026Open Access

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

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.

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

Key Points

Abstract

Cite This Study