Clasical solids dynamics as 4D statics of elastic strings

TL;DR

This paper presents a novel variational principle for classical solids dynamics by modeling them as 4D elastic strings in Minkowski space, linking relativistic string theory with classical mechanics.

Contribution

It introduces a 4D string-based variational framework for solids, deriving classical mechanics from elastic string energy in Minkowski space.

Findings

Elastic 4-energies correspond to classical action for solids.

Conditions for 4D string parameters ensure Newtonian mechanics validity.

The approach unifies relativistic string theory with classical solid dynamics.

Abstract

Variational principle for a solid in classical mechanics is formulated in terms of a thin elastic 4D bar strain in Minkowsky events space of special relativity. It is shown, that the sum of elastic 4-energies of weak twist and bending under some identifications takes the form of classical non-relativistic action for a solids dynamics. The necessary conditions on 4D bar parameters and elastic constants, providing validity of Newton mechanics, are found.