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Günther, H., Müller, V., Günther, H. and Müller, V. (2019) Mathematical Formalism of Special Relativity. In: The Special Theory of Relativity: Einstein’s World in New Axiomatics, Springer, 149-233.
https://doi.org/10.1007/978-981-13-7783-9_9

has been cited by the following article:

• TITLE: Modified Lorentz Transformations and Space-Time Splitting According to the Inverse Relativity Model

  AUTHORS: Michael Girgis

  KEYWORDS: Four-Dimensional Vector Analysis, Four-Dimensional Subspace, Causal Space, Analysis of the Speed of Light, Inverse Theory of Relativity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.7, July 19, 2024

  ABSTRACT: Analysis of a four-dimensional displacement vector on the fabric of space-time in the special or general case into two Four-dimensional vectors, according to specific conditions leads to the splitting of the total fabric of space-time into a positive subspace-time that represents the space of causality and a negative subspace-time which represents a space without causality, thus, in the special case, we have new transformations for the coordinates of space and time modified from Lorentz transformations specific to each subspace, where the contraction of length disappears and the speed of light is no longer a universal constant. In the general case, we have new types of matric tensor, one for positive subspace-time and the other for negative subspace-time. We also find that the speed of the photon decreases in positive subspace-time until it reaches zero and increases in negative subspace-time until it reaches the speed of light when the photon reaches the Schwarzschild radius.