Erlangen 2026 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Poster Session

MP 8.2: Poster

Wednesday, March 18, 2026, 18:00–18:45, Redoutensaal

Addition of relativistic velocities with arbitrary directions in four-dimensional space — •Roland Alfred Sprenger — Herford, Germany

A vectorial construction method for adding relativistic velocities with arbitrary directions is presented and justified. Without using oblique Minkowski diagrams with scale changes, but using an additional auxiliary dimension, vector addition is performed purely geometrically in a four-dimensional Euclidean space and projected back into three-dimensional real space. This forces all velocities to be limited to the speed of light purely geometrically. The auxiliary dimension represents the time component of the motion geometrically and has no independent physical dynamics. The approach is completely equivalent to special relativity and offers an alternative geometric perspective on the role of time in relativistic motions.

Keywords: fifth dimension; four-dimensional space; addition of relativistic velocities; arbitrary directions