Relativity and Cosmology

    

A Symmetrical Reflected Radar Model of Special Relativity using Euclidian Geometry

Authors: Philip Asquith

A Symmetrical Reflected Radar Model (SRRM) for Special Relativity is described. It analyses radar reflection using the Bondi k-calculus in a symmetrical spacetime diagram. 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’ coordinate system is shown using Pythagoras. Thus, in a transformation from the t’, x to the t, x’ system (and vice versa) spacetime is Euclidian.

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[v1] 2025-04-09 08:09:23

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