The quantum origin of inertia and the radiation reaction of self-interacting electron

TL;DR

This paper explores the quantum origin of inertia by analyzing the internal structure and dynamics of a self-interacting relativistic electron, proposing that inertia arises from internal quantum state reactions to dynamical deformations.

Contribution

It introduces a quantum framework for inertia based on eigen-dynamics of a self-interacting electron, linking internal quantum states to classical inertia phenomena.

Findings

Internal quantum states are invariant under infinitesimal space-time shifts.

Deformation of quantum states correlates with a quantum measure of force.

State-dependent non-Abelian gauge fields emerge from quantum back reaction.

Abstract

The internal structure of self-interacting quantum particle like electron is independent on space-time position. Then at least infinitesimal kinematic space-time shift, rotation or boost lead to the equivalent internal quantum state. This assumption may be treated as internal (quantum) formulation of the inertia principle. Dynamical transformation of quantum setup generally leads to deformation of internal quantum state and measure of this deformation may be used as quantum counterpart of force instead of a macroscopic acceleration. The reason of inertia arises, thereby, as a consequence an internal motion of quantum state and its reaction on dynamical quantum setup deformation. The quantum origin of the inertia has been discussed in this article in the framework of "eigen-dynamics" of self-interacting relativistic extended quantum electron. Namely, a back reaction of spin and charge "fast" degrees of freedom on "slow" driving environment during "virtual measurement" leads to the appearance of state dependent non-Abelian gauge fields in dynamical 4D space-time. Analysis of simplified dynamics has been applied to the energy-momentum behavior in the relation with runaway solutions of previous models of an electron.