Some Subtle Concepts in Fundamental Physics

TL;DR

This paper clarifies subtle concepts in fundamental physics like simultaneity and Lorentz contraction, resolving common puzzles and paradoxes by providing clearer, logically consistent explanations that may aid the development of unified field theories.

Contribution

It offers a simplified, logical reinterpretation of key physics concepts, addressing misconceptions and paradoxes to enhance understanding and progress in fundamental physics.

Findings

Clarified the naive meanings of key concepts like simultaneity and contraction.

Resolved longstanding paradoxes such as Ehrenfest's paradox.

Provided insights that could influence unified field theory development.

Abstract

In this paper, we discuss some subtle concepts, such as coordinate, measurement, simultaneity, Lorentz-FitzGerald contraction, singularity in fundamental physics. The explanations of these concepts in textbooks are usually incomplete and lead to puzzles. Some long-standing paradoxes such as the Ehrenfest one are caused by misinterpretation of these concepts. The analysis shows these concepts all have simple and naive meanings, and can be well understood using suitable logical procedure. The discussion may shed light on some famous paradoxes, and provide some new insights into the structure and features of a promising unified field theory.