The Physical Basis of Lorentz Transformation and Minkowski’s Four-Dimensional Space–Time

In the quantum wave modelQuantum wave model presented in this book, our UniverseUniverse is filled with a vacuum mediumVacuum medium; particlesParticle are excitation wavesWave of the vacuumVacuum. In this case, there is a natural reference system to measure time and space. For instance, one can use a standard light waveWave to define the length of time and space. More specifically, time can be determined from the frequencyFrequency, while space can be measured using the wavelength. Then, both space and time could appear as beingRelative time relative. We know from the Doppler effectDoppler effect that the frequencyFrequency of a waveWave can shift in a moving frame in comparison to a stationary frame. Hence, if one uses a waveWave system as the reference for an inertial system, it is not surprising that time and space are not absolute; they can vary depending on the motion of the inertial system. Based on this understanding, one can easily derive the Lorentz transformationLorentz transformation and set up Minkowski’s four-dimensional space–timeMinkowski’s four-dimensional space-time framework.