1 The Wave Equation for Particle Energy and Interaction

Subatomic particles, their interactions and the wave equation that governs their mass and motion are presented in this paper. There is one wave equation, in two distinct forms, with three fundamental constants. The wave forms are longitudinal and transverse, and the three constants are density, amplitude and frequency. The equations are further derived based on wave differences – amplitude and frequency – that are the cause of particle formation and interactions with other particles. This challenges a century-old equation in physics, therefore the burden of proof of a newly proposed wave equation is to not only calculate and match data from existing experiments, but further to explain and derive other known equations as it is suggested that this new wave equation forms the basis of energy equations from classical and quantum mechanics. First, the new wave equations are proposed and used to match known data as proof that these equations work. In Section 1, amongst other calculations, these equations are used to: o Calculate the rest energy and mass of subatomic particles that appear in nature o Calculate energies and wavelengths from hydrogen electron transitions o Calculate ionization energies of the first twenty elements Second, the equations are derived with an explanation of why they work, describing the reason for mass, th