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A Symmetrical Reflected Radar Model of Special Relativity using Euclidian Geometry

Author:

Asquith, Philip

Category:

Research Papers

Sub-Category:

Relativity Theory

Language:

English

Date Published:

March 27, 2025

File:

/Research Papers-Relativity Theory/Download/10129

Downloads:

147

Keywords:

Special Relativity, Bondi, Minkowski, Gruner, Loedel, Spacetime Interval, Euclidian Gometry

Abstract:

A Symmetrical Reflected Radar Model (SRRM) for Special Relativity is described. It analyses radar reflection using Bondi’s k-calculus in a symmetrical spacetime diagram (SSD). Complete agreement is shown between the algebra of Special Relativity and its geometrical representation in the SRRM using Euclidian geometry. In the SRRM, the pairs of orthogonal axes; t′, x, and t, x′, which all have the same scale, can be considered as a symmetrical pair of Euclidian coordinate systems. The invariance of the spacetime interval in a transformation from the t′, x to the t, x′ system is shown using Pythagoras. Thus, in a transformation from the t′, x to the t, x′ coordinate systems (and vice versa) spacetime is Euclidian.

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