Quantum Gravity and the Riemann Hypothesis Unification of Physics and Number Theory
Year: 2025
Type: article
Abstract: Conventional quantum field theory and general relativity face persistent challenges due to the continuum nature of spacetime and the ultraviolet divergences that arise. The RigbySpace (RS) framework eliminates $\pi$ via a discrete algebraic--trigonometric (AT/TA) transformation, converting continuous integrals into finite sums and revealing a fundamentally discrete structure of spacetime. Governed by the RS constants VEN, LUC, and the RS Bridge Constant $\mathcal{B}$, this $\pi$--free formulation naturally regularizes loop corrections and sets an intrinsic cutoff at the Planck scale. In this paper, we present an RS--based action principle, derive RS--modified propagators and loop corrections, reinterpret the Planck scale as a discrete spacetime cell, and discuss phenomenological implications—including modifications to Hawking radiation and gravitational wave dispersion. An appendix provides detailed RS derivations and explanations that underlie our conclusions.
Author: Veneziano, D
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6911870731
FWCI:
Cites:
Cited by:
Related to: