Mass-energy connection without special relativity

TL;DR

This paper demonstrates that the fundamental mass-energy relationship can be derived from basic assumptions without relying on special relativity, suggesting a deeper connection between mass and energy.

Contribution

It provides a novel derivation of the mass-energy equivalence that does not depend on special relativity, expanding understanding of their fundamental link.

Findings

Mass-energy relationship derived without special relativity

The core logic of Einstein's approach is sound independently

Mass-energy equivalence applies to electromagnetic radiation emission

Abstract

In 1905, Einstein carried out his first derivation of the mass-energy equivalence by studying in different reference frames the energy balance of a body emitting electromagnetic radiation and assuming special relativity as a prerequisite. In this paper, we prove that a general mass-energy relationship can be derived solely from very basic assumptions, which are the same made in Einstein's first derivation but completely neglecting special relativity. The general mass-energy relationship turns to a mass-energy equivalence when is applied to the case of a body emitting energy in the form of electromagnetic waves. Our main result is that if the core logic behind Einstein's approach is sound, then the essence of the mass-energy equivalence can be derived without special relativity. We believe that our heuristic approach, although not capable of giving the exact mathematical formula for the mass-energy equivalence, may represent a useful addition to the general discussion on the matter at the graduate level. Our finding suggests that the connection between mass and energy is at a deeper level and comes before any full-fledged physical theory.