Journal of Theoretical, Experimental, and Applied Physics
Dilating Loop Relativity: Mathematical Derivation for a Gauge-Gravity Spin Foam Mapping
Abstract
Andrew B. Evans
Dilating Loop Relativity (DLR) connects the Bern-Carrasco-Johansson double copy theory with Loop Quantum Gravity (LQG) [1,2]. The framework recognizes physical mass as the source of unconfined kinematic potential density operating on LQG spin foam cells [3]. At a spin foam vertex, this potential trigger localized spatial loop dilations that emerge macroscopically as the Schwarzschild metric [4]. At a black hole, vertex dilation increases continuously down to the black hole centre. The event horizon acts as a filter, where nodes have dilated sufficiently that shorter-wavelength photons cannot execute the discrete hops required for propagation, while ultra-long Hawking radiation wavelengths span the node gaps and escape. Dark matter is the frozen remnant of early fluctuations in the strong force, acting similarly on LGQ spacetime. Finally, we propose a laboratory test using polarized solid hydrogen to detect an anisotropic, equatorial time-dilation signature.
