On the Existence of a Minimum Universal Speed of Physical Transmissions Associated with Matter Wave in Special Relativity  

作　　者：Vu B. Ho Vu B. Ho(Independent Researcher, Victoria, Australia)

机构地区：[1]Independent Researcher, Victoria, Australia

出　　处：《Journal of Applied Mathematics and Physics》2023年第5期1287-1303,共17页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Special Relativity Minkowski Line Element Minimum Universal Speed Modified Lorentz Transformations Phase Velocity De Broglie Matter Wave Relativistic Mechanics 

分 类 号：O41[理学—理论物理]