An operationalistic reformulation of Einstein's equivalence principle

TL;DR

This paper reformulates Einstein's equivalence principle based on measurement accuracy and area size, revealing that different interpretations affect conclusions about spacetime geometry.

Contribution

It introduces an operationalistic reformulation of Einstein's equivalence principle emphasizing measurement accuracy and area dependence.

Findings

Different refinements lead to varied conclusions about spacetime geometry.

The formulation links measurement precision with local flatness assumptions.

Implications for understanding spacetime structure based on measurement constraints.

Abstract

The Einstein's equivalence principle is formulated in terms of the accuracy of measurements and its dependence of the size of the area of measurement. It is shown that different refinements of the statement 'the spacetime is locally flat' lead to different conculsions about the spacetime geometry.