Length Contraction, Time Dilation, Mass, Momentum and Energy Equations, Particle and Antiparticle Potential Energy, Pair Production and Annihilation Energy Equations from Harmonic Oscillator Rest Energy Equation and New Relations from Uncertainty Principle

Abstract

The harmonic oscillator total rest energy equation is derived from simple and quantum-mechanical harmonic oscillator equations. Length contraction, time dilation, relativistic mass, momentum, and energy equations for a particle, electron, and Planck particle are derived from harmonic oscillator total rest energy equation and new relations derived from the Heisenberg uncertainty principle. Particle and antiparticle, electron and positron potential energy equations; particle-antiparticle, electron-positron pair productions, and pair annihilations minimum energy equations are derived from harmonic oscillator total rest energy equation. The rest energy equation is derived from a nonrelativistic differential equation.