On the wave nature of matter

Physics – General Physics

Scientific paper

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18 pages, no figure

Scientific paper

Following the spirit of de Broglie and Einstein, we think the concepts of matter and radiation should be unified. In part 1, we examine the physical nature of matter wave. We propose that: (1) Like the photon, a particle is not a point-like object; instead, it behaves like a wave packet. (2) Like the photon, the matter wave of a particle is an excitation of a real physical field. (3) Different types of particles are different excitation modes of a unified field in the vacuum. We demonstrate that this model can provide a simpler explanation to many physical observations than the current theories. In part 2, we examine the origin of mass and the mass-energy relation. If matters are composed of waves, where does their mass come from? This problem can be solved by treating the rest mass on the same footing as energy and momentum. We hypothesize that, since the vacuum field behaves like an EM field in the long range (>1 fm), the wave equation of a free particle in the asymptotic region is similar to the Maxwell equation, which can be solved using the technique of separation of variables. Using the correspondence principle, our solution suggests that the rest mass of a particle is associated with a "transverse wave number". Results of this work have several important implications. First, we found that the relativistic relationship between energy, momentum and mass can be derived from the dispersion relation of the wavefunction of a free particle. Second, the wave equation describing the longitudinal component of the wavefunction is identical in form to the Klein-Gordon equation. This work suggests that relativity and quantum mechanics can have a common theoretical origin in wave mechanics.

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