Generalized Canonical Form of a Multi-Time Dynamical Theory and Quantization

TL;DR

This paper introduces a generalized canonical form for multi-time dynamical theories, facilitating a modified quantization approach based on a quantum action principle, exemplified through Fokker theory.

Contribution

It proposes a new generalized canonical form for multi-time theories and develops a modified quantization method using a quantum action principle.

Findings

Introduces a generalized canonical form for multi-time theories

Develops a modified quantization procedure based on a quantum action principle

Applies the framework to Fokker theory of electromagnetic interactions

Abstract

A generalized canonical form of multi-time dynamical theories is proposed. This form is a starting point for a modified canonical quantization procedure of theories based on a quantum version of the action principle. As an example, the Fokker theory of a direct electromagnetic interaction of charges is considered.