Developed Method. Interactions and their quantum picture

TL;DR

This paper introduces a novel method combining continuum mechanics and Einstein Field Equations to reconcile classical, relativistic, and quantum descriptions of physical systems using the Alena Tensor.

Contribution

It presents a new approach that integrates different physical theories through the Alena Tensor, enabling a unified framework for electromagnetic and other fields.

Findings

Derived the Lagrangian density as the electromagnetic invariant.

Linked the vanishing four-divergence of four-momentum to Poynting's theorem.

Proposed a specific gauge for the electromagnetic four-potential.

Abstract

By developing the previously proposed method of combining continuum mechanics with Einstein Field Equations, it has been shown that the classic relativistic description, curvilinear description, and quantum description of the physical system may be reconciled using the proposed Alena Tensor. For a system with an electromagnetic field, the Lagrangian density equal to the invariant of the electromagnetic field was obtained, vanishing four-divergence of canonical four-momentum appears to be consequence of the Poyinting theorem, and explicit form of one of gauges of the electromagnetic four-potential was introduced. The proposed method allows for further development with additional fields.