Einstein's Apple and Relativity's Gravitational Field

TL;DR

This paper examines the foundational principles of Einstein's 1907 equivalence principle, analyzing their implications through the lens of invariance under generalized Lorentz transformations.

Contribution

It clarifies the mathematical and conceptual basis of Einstein's equivalence principle using generalized Lorentz invariance, connecting historical principles with modern transformation theories.

Findings

The equivalence principle is rooted in invariance under generalized Lorentz transformations.

Hessenberg's generalized Lorentz transformations provide a framework for understanding Einstein's principles.

The paper highlights the importance of invariance in the formulation of gravitational theories.

Abstract

The foundations of Einstein's first (1907) principle of equivalence are explored and their consequences are stated in terms of invariance under generalized Lorentz transformations, first explored by Hessenberg.