Geometric model of the structure of the neutron

TL;DR

This paper explores a six-dimensional geometric model inspired by Kaluza-Klein theory to describe the structure, spin, and energy states of neutrons and their excitations, emphasizing the role of extra dimensions in particle physics.

Contribution

It introduces a novel six-dimensional Kaluza-Klein type model to explain neutron structure and excited states, including their spins and energies, with a focus on geometric and quantum mechanical aspects.

Findings

Model describes neutron and excited states with specific energies and spins.

Analysis of the internal two-dimensional space's geometry influences field configurations.

Proposes an informational reason for extra dimensions in particle structure.

Abstract

The paper examines the geometrical properties of a six-dimensional Kaluza-Klein type model. They may have an impact on the model of the structure of a neutron and its excited states in the realm of one particle physics. The statistical reason for the six-dimensionality and the stability of the solution is given. The derivation of the weak limit approximation of the general wave mechanical (quantum mechanical) approach, defined in the context of losing its self-consistency (here gravitational), is presented. The non self-consistent case for the Klein-Gordon equation is defined. The derivation of the energy of states and the analysis of the spin origin of the analyzed fields configuration is presented as the manifestation of both the geometry of the internal two-dimensional space and kinematics of fields inside it. The problem of the departure from the (gravitational) self-consistent calculations of the metric tensor and of other fields of the configuration is discussed. The implementation of the model for the description of a neutron and its excited states, including their spins and energies, is given. The informational reason for the existence of the internal extra space dimensions is proposed.