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

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.

8 pages, 2 figures. Invited plenary talk at Joint Conference of ICGAC-XIII and IK15, 3-7 July 2017

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Cited by in corpus (8)

• Einstein Double Field Equations
• Remarks on the non-Riemannian sector in Double Field Theory
• String Theory and non-Riemannian Geometry
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Stringy Newton Gravity with $H$-flux
• $\mathbf{O}(D,D)$ completion of the Einstein Field Equations
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry