Reconstructing Einstein's Relativistic Biorthogonal Space-time Model

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Authors: Wentao Zhang
Cited by: 0

Abstract

Preface: It's a coincidence that for more than 100 years, this secret has been hidden; we changed the Lorentz formula of relativity from (X ', t') = F (X, t) to (X, t ') = G (X', t), and we got the Lorentz biorthogonal formula, which is amazing. It can be described as a "slanting L-shaped wooden bar", which is simple, perfect and elegant, and a space-time model has emerged. I didn't believe my eyes and thought it was an illusion, but I tested and tested this new formula again and again, and I don't know what reason I have to refuse it; this "oblique L-shape" is shining with golden light that people can't forget. This is a human gift, and I can't wait to try to wipe the dust and let it show. Summary [Purpose] To make the Lorentz transformation simple! So that more people can understand and apply. [Method] We change the form of (X ', t') = F (X, t) in the Lorentz formula of relativity into the form of (X, t ') = G (X', t), and then the Lorentz transformation changes into a "oblique L-shaped wooden bar"; it is like dismantling building blocks, which is interesting. [Results] 1) Different from the traditional Lorenz's hyperbolic transformation model, the "oblique L-shaped wooden bar" supports Euclidean rotation, and the relativity relationship can be obtained only by mirroring; the steps of solving the problem are simplified, and some problems can be answered only by one step. 2) We try to explain the logic behind it, and put forward three space-time rule assumptions, "space-time speed is constant, space-time distance is constant, speed is orthogonal to distance". With this assumption, like building blocks, we spell out an oblique L. 3) "Oblique L" is graphical, without complex mathematics, it can be directly derived in a few simple steps, Lorentz transformation formula, Lorentz orthogonal formula, and velocity superposition formula, intuitive. 4) "Skew L" supports the special case discussion with speed C and provides a geometric explanation for how light can be both point-like and spread out in space. [Conclusion] This study enriches the physical connotation of Lorentz transformation of relativity, enhances the intuitive understanding of geometry, reduces the steps of algebraic derivation, provides a new perspective for teaching and research in related fields, and provides a more concise, more perfect and more elegant space-time model for relativity.

Fields of Study & Subjects

Relativity and Gravitational Theory Advanced Differential Geometry Research Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 February 2026
Document type
Preprint