TITLE:
On the Existence of a Minimum Universal Speed of Physical Transmissions Associated with Matter Wave in Special Relativity
AUTHORS:
Vu B. Ho
KEYWORDS:
Special Relativity, Minkowski Line Element, Minimum Universal Speed, Modified Lorentz Transformations, Phase Velocity, De Broglie Matter Wave, Relativistic Mechanics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.5,
May
19,
2023
ABSTRACT: In this work, we show that it is possible to establish coordinate transformations between inertial reference frames in the theory of special relativity with a minimum universal speed of physical transmissions. The established coordinate transformations, referred to as modified Lorentz transformations because they have almost identical form to the Lorentz transformations, also comply with the requirement of invariance of the Minkowski line element. Particularly, the minimum universal speed can be associated with the phase speed of de Broglie matter wave. As application, we also discuss the possibility to formulate relativistic classical and quantum mechanics for the special relativity associated with the modified Lorentz transformations, which describes physical processes that represent an expansion or a collapsing of massive quantum particles.