String Origins

TL;DR

This paper derives linearized general relativity from gravitational considerations, introducing string-like structures through gauge invariance and differential geometry, linking gravitation to string concepts.

Contribution

It presents a novel derivation of linearized general relativity emphasizing string-like structures emerging from gauge invariance and differential geometry.

Findings

String concepts naturally arise from gravitational considerations.

Gauge invariance is characterized by a second-order covariant derivative.

String-like constructions are linked to parallelism and transport in the geometric framework.

Abstract

It is shown that the string concept results naturally from considerations of gravitation. This paper describes a derivation of linearized general relativity based upon the hypotheses of special covariance and the existence of a gravitational potential. The gravitational field possesses gauge invariance given by a second-order covariant derivative defining an associated differential geometry. The concepts of parallelism and parallel transport lead to string-like constructions.