A new interpretation of quantum mechanics

TL;DR

This paper proposes a deterministic interpretation of quantum mechanics based on a new formulation of quantum electrodynamics, addressing paradoxes and dual interpretations of the wavefunction.

Contribution

It introduces a new deterministic framework that explains quantum phenomena without jumps, reconciling wavefunction interpretations and extending to many-electron systems.

Findings

Quantum mechanics is an approximation neglecting the electron's self-field.

The wavefunction's dual interpretation is explained within the new framework.

The approach extends to many-electron systems and briefly discusses neutrinos.

Abstract

The present paper is based upon equations obtained in an earlier paper by the author devoted to a new formulation of quantum electrodynamics. The equations describe the structure of the electron as well as its motion in external fields, interaction with a measuring apparatus inclusive, in a deterministic manner without any jumps. Quantum mechanics is an approximate theory because its equations follow from the above equations upon neglecting the self-field of the electron itself. Just this leads to paradoxes, seeming contradictions and jumps in quantum mechanics. The quantum mechanical wavefunction has a dual interpretation. In some problems the square of its modulus represents a real distribution of the electronic density while in others the same square determines the probability distribution of coordinates. It is shown why, given the different interpretations of the wavefunction, it satisfies one and the same Dirac or Schr\"odinger equation. Description of many-electron systems is also considered in the starting approach as well as in quantum mechanics. Neutrinos are discussed in brief.