Modification of the Lorentz Transformation and the Descriptive Geometry of Special Relativity

Between two inertial reference frames, four types of time exist instead of two. Based on the distinction between these types of time, a new Lorentz transformation is reconstructed that preserves the two postulates of special relativity: the principle of relativity and the constancy of the speed of light. Furthermore, a new geometric description compatible with this modified Lorentz transformation is formulated.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22847472
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Modification of the Lorentz Transformation and the Descriptive Geometry of Special Relativity

Quang Ha Ngo
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Modification of the Lorentz Transformation and the Descriptive Geometry of Special Relativity

Quang Ha Ngo
preprint en

Abstract

Between two inertial reference frames, four types of time exist instead of two. Based on the distinction between these types of time, a new Lorentz transformation is reconstructed that preserves the two postulates of special relativity: the principle of relativity and the constancy of the speed of light. Furthermore, a new geometric description compatible with this modified Lorentz transformation is formulated.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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Modification of the Lorentz Transformation and the Descriptive Geometry of Special Relativity — Quang Ha Ngo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS