Operator Manifold Approach to Geometry and Particle Physics

TL;DR

This paper introduces a novel operator manifold approach that redefines the origins of geometry and particles, unifying fundamental principles and internal symmetries in a deeper theoretical framework.

Contribution

It proposes a generalized gauge principle with a gravitation gauge group generated by hidden internal symmetries, offering a new foundation for understanding geometry and particle physics.

Findings

Emergence of basic particle physics concepts from the theory

Natural appearance of fundamental principles like relativity and quantum mechanics

Unified framework for internal symmetries and geometry

Abstract

The question that guides our discussion is how did the geometry and particles come into being. The present theory reveals primordial deeper structures underlying fundamental concepts of contemporary physics. We begin with a drastic revision of a role of local internal symmetries in physical concept of curved geometry. A standard gauge principle of local internal symmetries is generalized. The gravitation gauge group is proposed, which is generated by hidden local internal symmetries. Last two parts address to the question of physical origin of geometry and basic concepts of particle physics such as the fields of quarks with the spins and various quantum numbers, internal symmetries and so forth; also four basic principles of Relativity, Quantum, Gauge and Color Confinement, which are, as it was proven, all derivative and come into being simultaneously. The most promising aspect of our approach so far is the fact that many of the important anticipated properties, basic concepts and principles of particle physics are appeared quite naturally in the framework of suggested theory.