Matter waves were discovered in the early 20th century from their wavelength, predicted by DeBroglie, Planck's constant divided by the particle's momentum, that is, lmw = h/mv. But, the failure to obtain a reasonable theory for the matter wave frequency resulted somewhat in loss of further interest. It was expected that the frequency of the matter wave should correspond to the particle kinetic energy, that is, fmw = 1/2mv^2/h but the resulting velocity of the matter of the particle, v = fmw x lmw, is that the matter wave moves at one half the speed of the particle, obviously absurd as the particle and its wave must move together. If relativistic mass is used (as it should in any case) the problem remains, the same mass appearing in numerator and denominator and canceling. It is no help to hypothesize that the total energy, not just the kinetic energy, yields the matter wave. That attributes a matter wave to a particle at rest. It also gives the resulting velocity as c^2/v, the wave racing ahead of its particle. A reinterpretation of Einstein's derivation of relativistic kinetic energy (which produced his famous E = mc^2) leads to a valid matter wave frequency and a new understanding of particle kinetics and of the atom's stable orbits.
Matter waves were discovered in the early 20th century from their wavelength, predicted by DeBroglie, Planck’s constant divided by the particle’s momentum, that is,
λmw = h/m.v. But, the failure to obtain a reasonable theory for the matter wave frequency resulted somewhat in loss of further interest. It was expected that the frequency of the matter wave should correspond to the particle kinetic energy, that is, fmw = 1/2 . m . v2/h but the resulting velocity of the matter of the particle, v = fmw .
λmw , is that the matter wave moves at one half the speed of the particle, obviously absurd as the particle and its wave must move together. If relativistic mass is used (as it should in any case) the problem remains, the same mass appearing in numerator and denominator and canceling. It is no help to hypothesize that the total energy, not just the kinetic energy, yields the matter wave. That attributes a matter wave to a particle at rest. It also gives the resulting velocity as c2/v the wave racing ahead of its particle. A reinterpretation of Einstein’s derivation of relativistic kinetic energy (which produced his famous E = m.c2 ) leads to a valid matter wave frequency and a new understanding of particle kinetics and of the atom’s stable orbits.
According to the thesis presented here, the correct model of reality should be based on two major discoveries of the 20th century: Einstein's discovery that reality is four-dimensional (1905) and de Broglie's wave structure of matter (1924). In 1905, Einstein did not have all the information necessary to construct the proper model of relativity; therefore, by publishing the Theory of Relativity without knowledge of the wave structure of matter, he made a kind of a false start, which resulted in the excessive complexity and unintuitive nature of the Theory of Relativity. Including the wave nature of matter in the basic assumptions of the model of reality allows to greatly simplify the model, expand its capabilities compared to the model currently in force, and remove many problems specific to the Theory of Relativity. In this work, using the trivial example of waves on the surface of water, I derive relativistic relationships and give an unambiguous and precise interpretation of basic concepts like time, space, relativity of motion, and simultaneity of events. The new definition of time- and space dimensions also allows to define the proper time of particles directly as the number of de Broglie’s wave periods for both relativistic physics and Quantum Mechanics.