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2023, no. 3-4

STANDARD-DIMENSIONAL TRANSFORMATION SYSTEMS FOR SPECIAL RELATIVITY

Salouma S., Tawfik A.N.

We introduce a comprehensive framework comprising standard and dimensional reference frames. We suggest a theory composed of three interconnected transformation systems. The standard-dimensional transformation system is combined with a dimensional-dimensional transformation system corresponding to the typical LorentzEinstein transformation and the standard-standard system. The velocity at which the dimensional frame moves plays a crucial role so that the Maxwell spherical wave equation remains invariant and the transition of the wave-nature to particle-nature of light becomes subject to the transformation system.
The consistency of the proposed standard-dimensional transformation systems can also be examined in implications. We drove the mass and energy equations of a free particle and found that the particles velocity and that of the moving frame are essential. We also conclude that the Schrodinger equation remains invariant under the proposed transformation. Further implications to the phenomena challenging special relativity could be carried out elsewhere.

Keywords: Special Relativity; Reference Frames; Standard and Dimensional Values; Foundations of Quantum Mechanics.

UDC: 530.12

PACS: 04.20.-q

DOI: 10.17238/issn2226-8812.2023.3-4.251-270

Please cite this article in English as:
Salouma S., Tawfik A.N. Standard-Dimensional Transformation Systems for Special Relativity. Space, Time and Fundamental Interactions, 2023, no. 3-4, pp. 251-270.