A Revisit to Lorentz Transformation without Light

2022/12/05 by Datta, Satadal
#Classical Physics (physics.class-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2212.03706

Abstract

We derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT. We find a general transformation rule between two inertial frames where a speed, invariant under that transformation, arises naturally. This idea first came into light by Mathematician Ignatowski [1] around the year, 1910. Without loss of novelty, here we present our derivation while reviewing more recent literature in this subject.

Related

• Getting the Lorentz transformations without requiring an invariant speed
• Deduction of Lorentz Transformation from the existence of absolute rest. Deduction of the speed of light in any frame of reference
• Derivation of the Lorentz Transformations
• Lorentz transformation directly from the invariance of the speed of light via the addition law of parallel speeds
• Special Relativity (Lorentz Transformation) Follows from the Definition of Inertial Frames