The Algebraic Structure of Lorentzian Signature as Volume-Level Chirality

This is the first of the two papers my previous ended paper split into. In a nutshell, it shows how Lorentzian signature arises from volume-level rotational "chirality". It does this using Clifford algebra, which I am relatively new to; luckily it is not all that difficult, "relatively" speaking. (Ha!) It may not seem like it says much but as I said, it is foundational to the concepts in my other forthcoming papers. Given my recent introduction to Clifford algebra, I would apprectiate being made aware of any mistakes I might have made, or anything I seem to misunderstand. I think I have a good grasp on it but it never hurts to have a second pair of eyes.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-18
DOI
https://doi.org/10.5281/zenodo.20743419
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

The Algebraic Structure of Lorentzian Signature as Volume-Level Chirality

Ronald Kyle
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

The Algebraic Structure of Lorentzian Signature as Volume-Level Chirality

Ronald Kyle
preprint en

Abstract

This is the first of the two papers my previous ended paper split into. In a nutshell, it shows how Lorentzian signature arises from volume-level rotational "chirality". It does this using Clifford algebra, which I am relatively new to; luckily it is not all that difficult, "relatively" speaking. (Ha!) It may not seem like it says much but as I said, it is foundational to the concepts in my other forthcoming papers. Given my recent introduction to Clifford algebra, I would apprectiate being made aware of any mistakes I might have made, or anything I seem to misunderstand. I think I have a good grasp on it but it never hurts to have a second pair of eyes.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
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