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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Geometrical derivation of Wigner's angle for arbitrary Lorentz transformations of massless particles

arXiv

Authors: Isabella Cerutti, Petra F. Scudo

Year

2026

Paper ID

63798

Status

Preprint

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~2 min

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Abstract

This note summarizes the physics and mathematics of Lorentz transformations for massless particles, specifically for photons. We provide a complete analytical derivation of Wigner's little group matrix and a closed formula for the calculation of Wigner's angle for arbitrary Lorentz transformations. Our derivation highlights the geometrical content of the sequence of little group transformations leading to Wigner's matrix and links it to classical theorems in spherical trigonometry.

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This note summarizes the physics and mathematics of Lorentz transformations for massless particles, specifically for photons.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.18440 [2] arXiv https://arxiv.org/abs/2605.18440 [3] Publisher https://arxiv.org/abs/2605.18440

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External citation index: OpenAlex citation signal • updated 2026-06-15 05:59:09

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