Geometry of Manifolds and Dark Matter

TL;DR

This paper proposes a geometric framework for dark matter, deriving its properties from first principles and linking it to Planck-scale physics, suggesting a new form of matter that interacts gravitationally but not electromagnetically or via other fundamental forces.

Contribution

It introduces a geometric approach to dark matter, deriving its characteristics from fundamental principles and Planck-scale physics, which is a novel perspective in the field.

Findings

Dark matter particles gravitate but do not interact electromagnetically

Dark matter physics is connected to Planck scales

A first-principles derivation of dark matter theory is presented

Abstract

It is shown that the theory of dark matter can be derived from the first principles. Particles representing a new form of matter gravitate but do not interact electromagnetically, strongly and weakly with the known elementary particles. Physics of these particles is defined by the Planck scales.