Studies on Some Aspects of the Fundamental Theory of Everything

TL;DR

This paper explores fundamental questions in physics and cosmology, examining entropy, quantum mechanics, particle interactions, and universe evolution to propose new insights into the underlying principles of the universe.

Contribution

It offers novel theoretical analyses and interpretations of quantum phenomena, gravitational collapse, and universe structure, addressing unresolved issues in fundamental physics.

Findings

Entropy approaches singularity during Big Crunch

Quantum states in confined systems are non-homogeneous

Particle interactions explain Casimir force mechanisms

Abstract

What happens to the entropy increase principle as the Universe evolve to form the big-crunch singularity? What happens to the uncertainity relations along the process of gravitational collapses? What is the quantum mechanical description of a Radon atom in a rigid box when the distance of consecutive nodes and antinodes of $\psi$ is equal to or less than the diameter of the atom? What is the position-space wave function of two finite volume massive bosons if we take contact interaction into account? How a photon produce electron-positron pair with finite volume concentrate rest masses? What are the charges of the electron-positron pairs forming loops in the vacuum? How two particles with three-momentums $k_1, k_2$ $(k_1 \neq k_2)$ produced to form a loop at a space-time point always arrive at another spacial point simultaneously? What is the microscopic explanation in terms of particle exchanges of the force in the Casimir effect? What is the mechanism of the collapse of the momentum-space wave function of a particle knocking out an elctron from an atom? What is meant by $|\Psi> = {c_1 (t)}|\Psi_{U^{238}}> + {c_2 (t)}|\Psi_{Th^{234}}> ~?$ Quantum mechanically the region between the rigid walls (which is equiprobable in classical mechanics) is non-homogeneous for a particle in a rigid box ! The large scale structure of the Universe is homogeneous.