Transport Papers G00: A Guide

Division by zero is mathematics' most famous forbidden move. In the geometric algebras that describe spacetime it fails at the null vectors, the light rays, and the failure cannot be repaired at the element in any larger algebra. The Transport Papers take a third route: enlarge the space by exactly one hyperbolic plane, provably the minimum, and read the undefined values off at the new points. That plane is one fermionic mode, so the repair of division is a quantum degree of freedom nobody put in. Applied to a black hole's singularity, the rule leads to twistor space, an exact account of the information paradox and registered predictions that data can refute. This guide is the way in, with every premise named and every refutation counted.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23244114
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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preprint

Transport Papers G00: A Guide

Leon Butler
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Transport Papers G00: A Guide

Leon Butler
preprint en

Abstract

Division by zero is mathematics' most famous forbidden move. In the geometric algebras that describe spacetime it fails at the null vectors, the light rays, and the failure cannot be repaired at the element in any larger algebra. The Transport Papers take a third route: enlarge the space by exactly one hyperbolic plane, provably the minimum, and read the undefined values off at the new points. That plane is one fermionic mode, so the repair of division is a quantum degree of freedom nobody put in. Applied to a black hole's singularity, the rule leads to twistor space, an exact account of the information paradox and registered predictions that data can refute. This guide is the way in, with every premise named and every refutation counted.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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Transport Papers G00: A Guide — Leon Butler · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS