Relativistic Quantum Theory

TL;DR

This paper proposes a framework that unifies quantum theory with relativity, emphasizing the interconnectedness of both and highlighting the role of massless particles and space-time concepts.

Contribution

It introduces a general operator-algebraic framework for relativistic quantum theory and extends the ETH approach to incorporate relativistic principles.

Findings

Highlights the importance of massless modes like photons and gravitons

Translates space-time structures into algebraic language

Proposes a relativistic version of the ETH approach

Abstract

The purpose of this paper is to sketch an approach towards a reconciliation of quantum theory with relativity theory. It will actually be argued that these two theories ultimately rely on one another. A general operator-algebraic framework for relativistic quantum theory is outlined. Some concepts of space-time structure are translated into algebra. Following deep results of Buchholz et al., the key role of massless modes, photons and gravitons, and of Huygens' Principle in a relativistic quantum theory well suited to describe "events" and "measurements" is highlighted. In summary, a relativistic version of the "ETH Approach" to quantum mechanics is described.