The Purely Geometric Part of "Dark Matter" -- A Fresh Playground for "String Theory"

TL;DR

This paper proposes that a portion of dark matter consists of geometric singularities in spacetime, which can be described by string theory, linking dark matter to quantum gravity phenomena.

Contribution

It introduces a novel perspective that geometric singularities in Einstein's equations can be modeled as string-like objects, connecting dark matter to string theory in four dimensions.

Findings

Singular world-surfaces in Einstein's vacuum solutions can represent dark matter.

Their quantum fluctuations are governed by string theory.

The approach unifies geometric and quantum descriptions of dark matter.

Abstract

We argue that part of "dark matter" is not made of matter, but of the singular world-surfaces in the solutions of Einstein's vacuum field equation G_{\mu\nu}=0. Their Einstein-Hilbert action governs also their quantum fluctuation. It coincides with the action of closed bosonic "strings" in four spacetime dimensions, which appear here in a new physical context. Thus, part of dark matter is of a purely geometric nature, and its quantum physics is governed by the same string theory, whose massless spin-2 particles interact like the quanta of Einstein's theory.