Self-interacting Electron as the Gauge Field Under the Ultimate Separation of the Absolute Quantum Motions

TL;DR

This paper proposes a novel framework for understanding quantum motion by emphasizing the internal quantum degrees of freedom and their geometry, challenging traditional spacetime-based approaches for self-interacting electrons.

Contribution

It introduces a revised formulation of field equations for the energy-momentum and angular momentum of a self-interacting electron, highlighting the role of internal quantum state space.

Findings

Revised field equations for self-interacting electron

Emphasis on internal quantum degrees of freedom and geometry

Proposes local dynamical spacetime as a representation of quantum motions

Abstract

The problem of the reason of physical motion needs a review in the framework of quantum theory. The Aristotle's mistake, Galileo-Newton progress, Einstein physical geometry established the fundamental role of the spacetime geometry in the motion of fields and bodies. Quantum theory poses a new question about the motion of the quantum states and its reason in the quantum state space. The standard approach of quantum theory uses so-called method of the classical analogy where the action functional contains in the additive manner three terms: matter (free particles) + free fields + interaction term. Such approach leads to the quantum state space as some space of functions defined on the spacetime. I think if one try to understand the peculiarity of the self-interacting quantum particles together with its "field shell" then the classical scheme should be replaced. Then the role of the spacetime should be revised: the space of the unlocated pure quantum degrees of freedom and its geometry will play the fundamental role and the local dynamical spacetime arises as representation of the internal quantum motions (inverse representation). I will discuss in this work a small but important change in the formulation of the field equations for the energy-momentum, orbital momentum and kinetic momentum of the self-interacting electron.