Kant and Hegel in Physics

TL;DR

This paper explores the philosophical influence of Kant and Hegel on the development of modern physics, particularly in unifying quantum mechanics and relativity through a Lorentz-covariant theory of bound states.

Contribution

It reviews progress towards synthesizing quantum mechanics and relativity inspired by Kantian and Hegelian philosophy, focusing on Lorentz-covariant bound state theories.

Findings

Progress in developing Lorentz-covariant bound state theories.

Insights into unifying quantum mechanics with relativity.

Illustration of philosophical principles in democratic practices.

Abstract

Kant and Hegel are among the philosophers who are guiding the way in which we reason these days. It is thus of interest to see how physical theories have been developed along the line of Kant and Hegel. Einstein became interested in how things appear to moving observers. Quantum mechanics is also an observer-dependent science. The question then is whether quantum mechanics and relativity can be synthesized into one science. The present form of quantum field theory is a case in point. This theory however is based on the algorithm of the scattering matrix where all participating particles are free in the remote past and in the remote future. We thus need, in addition, a Lorentz-covariant theory of bound state which will address the question of how the hydrogen atom would look to moving observers. The question is then whether this Lorentz-covariant theory of bound states can be synthesized with the field theory into a Lorentz-covariant quantum mechanics. This article reviews the progress made along this line. This integrated Kant-Hegel process is illustrated in terms of the way in which Americans practice their democracy.