English

The emergent longitudinal wave from space and time derivatives transformations

Quantum Physics 2012-02-28 v1

Abstract

We have shown that a longitudinal wave emerges as a result of general transformations similar to gauge transformations of electrodynamics. The time derivative and the gradient of the gauge function and their alike yield the longitudinal wave. The de Broglie wave associated with the particle motion is a longitudinal one. This wave accompanied the motion of all massive objects. It has a zero magnetic field (or vorticity). The invariance of Dirac equation under these transformations makes the electron to behave as a massless particle while having a mass.

Keywords

Cite

@article{arxiv.1202.5744,
  title  = {The emergent longitudinal wave from space and time derivatives transformations},
  author = {A. I. Arbab},
  journal= {arXiv preprint arXiv:1202.5744},
  year   = {2012}
}

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4 LateX pages

R2 v1 2026-06-21T20:25:12.960Z