A $Spin(4)$ gauge theory of space, time, gravitation, matter and dark matter

TL;DR

This paper introduces a $Spin(4)$ gauge theory that models spacetime, gravity, and dark matter within a Euclidean framework, proposing a novel approach to fundamental physics and cosmology.

Contribution

It develops a gauge-theoretic model where spacetime and gravity emerge from a Euclidean setting, offering new insights into dark matter and gravitational phenomena.

Findings

Dark matter effects may be explained by gravitational dynamics in this model.

The theory has implications for cosmology, black holes, and gravitational waves.

Potential laboratory signatures are discussed.

Abstract

A gauge-theoretic framework for spacetime and gravitation is proposed, in which a Cartan khronon field breaks the symmetry between space and time, enabling the emergence of temporality within a fundamentally Euclidean setting. Based on a $Spin(4)$ gauge structure, the theory provides a real-valued formulation of chiral spacetime, wherein the effects typically attributed to dark matter may instead be accounted for by the dynamics of gravitation. New results are presented that are relevant to a broad range of phenomena, including cosmology, large-scale structure, gravitational waves, black holes, and potential signatures accessible to laboratory experiments.