The Structure of Matter in Spacetime from the Substructure of Time

TL;DR

This paper proposes a novel theoretical framework where the geometric and physical structures of spacetime and matter emerge from the substructure of a single time dimension, offering a new perspective on unification.

Contribution

It introduces a new conceptual approach deriving spacetime and matter properties from the arithmetic substructure of time, contrasting with traditional models that add entities or geometries.

Findings

Derivation of 4D spacetime structure from time substructure

Explanation of matter properties based on time arithmetic

Comparison with traditional spacetime models

Abstract

The nature of the change in perspective that accompanies the proposal of a unified physical theory deriving from the single dimension of time is elaborated. On expressing a temporal interval in a multi-dimensional form, via a direct arithmetic decomposition, both the geometric structure of 4-dimensional spacetime and the physical structure of matter in spacetime can be derived from the substructure of time. While reviewing this construction, here we emphasise how the new conceptual picture differs from the more typical viewpoint in theoretical physics of accounting for the properties of matter by first postulating entities on top of a given spacetime background or by geometrically augmenting 4-dimensional spacetime itself. With reference to historical and philosophical sources we argue that the proposed perspective, centred on the possible arithmetic forms of time, provides an account for how the mathematical structures of the theory can relate directly to the physical structures of the empirical world.