Spacetime Structures and Physical Theories

TL;DR

This paper explores the integration of general relativity with quantum mechanics and strong interactions by constructing specific spacetime models, proposing a geometric framework for fundamental forces and quantum behavior.

Contribution

It introduces a novel approach to unify general relativity with quantum mechanics using spacetime structures tailored for strong and electromagnetic interactions.

Findings

General relativity can be adapted to describe strong interactions with a Yukawa-type line element.

Quantum mechanics emerges naturally from a relativistic spacetime model of a particle.

A geometric formulation of electromagnetic fields as independent spacetime structures is proposed.

Abstract

General relativity is applied to the strong interaction; the nexus between the two being arrived at by constructing a line element having the Yukawa form, which is used to describe geometrically the classical dynamics of a particle moving under the influence of the short-range strong interaction. It is shown that, with reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics by using the general relativistic field equations to construct a Robertson-Walker metric for a quantum particle. The resulting line element of the particle can be transformed entirely to that of a Minkowski spacetime, and the spacetime dynamics of the particle described by a Minkowski observer takes the form of quantum mechanics. It is also discussed the physical aspects of the affine connection in general relativity and its relationship with the field strength of the electromagnetic field and strong interaction. A heuristic geometric formulation of the electromagnetic field as an independent spacetime structure is presented.