Derivation of the Quantum Wave Equations Based on Wave Excitation in the Vacuum

In the quantum wave modelQuantum wave model, a quantum particleQuantum particle is identified as a quantized excitation wave of the vacuumExcitation wave of the vacuum. The matter waveMatter wave is represented by a dynamic variation of the electric vector potentialElectric vector potential (Z). In this chapter, we show that the quantum wave equationsQuantum wave equation (for particlesParticle with or without mass) originated from the wave equation of the vacuumWave equation of the vacuum. Thus, both the waveWave equation of a photonPhoton and the Klein–Gordon equationKlein-Gordon equation can be derived directly from the waveWave equation of Z. The waveWave function of a photonPhoton is modeled as a plane waveWave, while the matter waveMatter wave representing a massive particleParticle is modeled as a vortex waveWave. The so-called “relativistic energy–momentum relationRelativistic energy-momentum relation” can be obtained from the dispersion relationDispersion relation of the particleParticle waveWave function. Most interestingly, such derivation suggests a way to connect the concept of “rest massRest mass” to a waveWave property.