On the Invariance of the Spacetime Interval

2025/12/16 by Marco Moriconi, Moriconi, Marco · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2512.14446

openalex publication_date 2025/12/16 · openalex created_date 2025/12/18 · openalex updated_date 2026/07/28

Abstract

We present a geometric proof of the invariance of the relativistic spacetime interval based solely on the constancy of the speed of light, and the homogeneity and isotropy of spacetime. The derivation is based on a simple construction involving light rectangles, whose areas remain invariant across inertial frames. Based on this construction, we also derive the Lorentz transformations.

Citations

• Indefinite quadratic forms and the invariance of the interval in Special Relativity

Cited by

• A Symmetry-First Elementary Derivation of the Lorentz Transformation

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