Relativistic MOND: Gravitational Auto-Dilation

Abstract

Does gravity auto-dilate? This paper investigates the hypothesis that space-

time curvature caused by gravity results in a redistribution of gravitational in-

fluence over slightly larger proper distances. In other words, gravity stretches

space, allowing gravitational effects to extend marginally farther than ex-

pected under Newtonian dynamics.

Though undetectable locally, this subtle geometric deformation accumu-

lates coherently over kiloparsec distances, naturally producing the gravi-

tational boost necessary to achieve velocities observed in galactic rotation

curves. The Gravitational Auto Dilation (GAD) framework maintains clas-

sical gravitational dynamics locally and avoids the instabilities often encoun-

tered in modified gravity theories. By enhancing gravity through space dila-

tion rather than exotic matter, GAD offers a stable and predictive alterna-

tive—or supplement—to dark matter in explaining galactic dynamics.

Of 156 SPARC galaxies, the GAD phenomenological model achieved a

log-log RAR correlation of r =.94422 and a reduced Chi-Squared ¡ 2 for 60

galaxies.