Fundamental issues of quantum theory

TL;DR

This paper discusses fundamental issues in quantum theory, focusing on the treatment of particle distributions, the differences between quantization approaches, and the recursive problems these pose for the theory.

Contribution

It highlights overlooked concepts in quantum field theory and examines the challenges in reconciling different quantization methods and their implications.

Findings

Identifies the neglect of distribution concepts in conventional quantum theory

Analyzes the difficulties in establishing posterior quantization relations

Discusses the recursive problems arising from quantization inconsistencies

Abstract

Since the quantum field theory treats a system of particles, there must be a distribution which is associated with the system of particles. It means that a meaningful quantity is adjoined in the system of particles. It seems that these concepts, constraints and distribution are ignored in the conventional approach. Further more, there are two versions of quantization relations, one is prior to the field equation and the other is posterior to the field equation. And it is very difficult to find the posterior one. If the posterior one is found, of course, these two versions of quantization must be the same one. Actually, it implies that there is recursive problem. In this paper, we will discuss these serious problems.