On local space-time of loop topological defects in a newtonian lattice

TL;DR

This paper proposes that spacetime is a Newtonian 3D lattice with topological defects acting as matter, unifying fundamental physics and potentially explaining elementary particles through lattice structures.

Contribution

It introduces a novel model where spacetime is a Newtonian lattice with topological defects, unifying physics and suggesting a link to elementary particles.

Findings

Lattice behavior reproduces known physics including electromagnetism and gravity.

Topological defects can model elementary particles.

Different lattice structures may correspond to various particles.

Abstract

One of the most fundamental questions of modern physics is the nature of spacetime. There are various propositions on the table, as the grand unified theory, quantum gravity, supersymmetry, string and superstring theories, and M theory. However, none of these propositions is able to consistently explain what matter is and how matter interacts by describing at the same time electromagnetism, relativity, gravitation, quantum physics and observed elementary particles. Here it is proposed that spacetime is an isotropic Newtonian 3D lattice, and that its topological defects, namely diverse dislocations and disclination loops, are the fundamental building blocks of ordinary matter. We find, for an isotropic lattice obeying Newton laws and with specific assumptions on its elastic properties, that the macroscopic behaviour of this lattice and of its topological defects displays all known physics, unifying electromagnetism, relativity, gravitation and quantum physics, and resolving some longstanding questions of modern cosmology. Moreover, studying various possible microscopic structures of the Newton's lattice, for example assuming lattice axial symmetry, represented by a colored cubic 3D lattice, we show that one can possibly identify a lattice structure whose topological defect loops coincide with the complex zoology of elementary particles, opening a promising field of research.