The Mesoscopic Recovery: Deriving General Relativity from Toroidal Scale Dynamics

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Authors: Vance Ashley Woodward
Cited by: 0

Abstract

This paper demonstrates how Toroidal Scale Dynamics (TSD) satisfies the high-precision gravitational constraints that typically challenge modified gravity theories, specifically the "Three Killers": the speed of gravity, the Equivalence Principle, and gravitational slip. The study derives General Relativity as a scale-dependent "mesoscopic" limit of TSD, showing that the Solar System resides in a locally flat regime where fifth-forces are naturally suppressed. It proves that TSD preserves the speed of gravity ($c_g=c$) consistent with GW170817 by maintaining the conformal invariance of the null cone. Furthermore, it demonstrates that TSD predicts zero gravitational slip ($\eta=1$) and satisfies Lunar Laser Ranging constraints on the Nordtvedt effect by identifying the Galactic Woodward Radius as the relevant screening scale.

Fields of Study & Subjects

Cosmology and Gravitation Theories Relativity and Gravitational Theory Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
20 January 2026
Document type
Preprint