Stringy Gravity: Solving the Dark Problems at `short' distance

TL;DR

Stringy Gravity, based on string theory principles, modifies General Relativity at short distances, potentially explaining dark matter and energy phenomena through repulsive gravity effects at small scales.

Contribution

This paper develops the differential geometry and principles of Stringy Gravity, introducing a doubled-yet-gauged coordinate system and analyzing its implications for dark matter and energy.

Findings

Stringy Gravity agrees with General Relativity at large distances.

At short distances, gravity can become repulsive.

Potential explanation for dark matter and energy phenomena.

Abstract

Dictated by Symmetry Principle, string theory predicts not General Relativity but its own gravity which assumes the entire closed string massless sector to be geometric and thus gravitational. In terms of $R/(MG)$, i.e. the dimensionless radial variable normalized by mass, Stringy Gravity agrees with General Relativity toward infinity, but modifies it at short distance. At far short distance, gravitational force can be even repulsive. These may solve the dark matter and energy problems, as they arise essentially from small $R/(MG)$ observations: long distance divided by much heavier mass. We address the pertinent differential geometry for Stringy Gravity, stringy Equivalence Principle, stringy geodesics and the minimal coupling to the Standard Model. We highlight the notion of `doubled-yet-gauged' coordinate system, in which a gauge orbit corresponds to a single physical point and proper distance is defined between two gauge orbits by a path integral.