Transport Papers G01: Zero Divisors as Signposts - A Transport Principle for Clifford Algebras, from Gravitational Singularities to the Standard Model

Division by zero is mathematics' most famous forbidden operation. The Transport Papers, eighteen papers T0 to T17 and two companion notes, take the opposite view: in the Clifford algebras that describe spacetime, the failure of division is an instruction. Dividing by a null vector is provably impossible at the level of elements in every mixed-signature algebra of dimension at least three. It becomes possible, uniquely and minimally, at the level of the space, by adjoining one hyperbolic plane and reading the undefined values off at the new ideal points, with no inverse operation. Pursued mechanically, that principle generates a programme. The black-hole singularity is a division by zero whose forced completion carries spacetime into the six-dimensional conformal space of Cl(2,4), whose spinors are Penrose's twistors. The singularity acquires ladder structure with nothing quantised by hand, its mode count reproduces the scaling of black-hole entropy, quantum mechanics and general relativity become two presentations of one Clifford relation, and the matter programme yields the Standard Model's algebra and charges, the lepton content under a declared and open hypothesis. This volume, G01, is the detailed guide to the series, one chapter per paper. Each chapter states the paper's headline results with their key equations, explains their mechanism, and ends with a table of every numbered result in the paper, with locators. Nothing is proved here; every result is stated at the level its paper proves it, with its premises named. The series is machine-checked and unrefereed. This version replaces version 2.6 of Zero Divisors as Signposts, the last deposited. Readers of an earlier version should start at Appendix C, which records what moved between the earlier book and the series; it was audited against version 2.7, a revision of version 2.6 completed but not deposited. The short guide to the series is G00, The Transport Papers: A Guide (https://doi.org/10.5281/zenodo.22924379). Files: G01_zero_divisors_as_signposts.pdf; G01_zero_divisors_as_signposts.tex; the five image files the source includes (g00_arcs.png, g00_two_readings.png, t14_boltzmann_ratios.png, T14b_fig_merger.pdf, T14b_film2_still.png), needed to rebuild it with pdflatex. Licence: CC BY 4.0 (text, LaTeX source and figures). Authorship and disclosure. The founding idea of the series is the author's: that division by zero in a Clifford algebra should be read not as a prohibition but as a transport into a higher-dimensional algebra, and that the transported division need not be accompanied by an inverse operation. The direction of investigation and the critical review of the results are likewise the author's. The mathematical development and the drafting of the text were carried out in extended collaboration with Claude Fable 5 (Anthropic), an AI system. The papers of the series are deposited in the Transport Papers community on Zenodo, https://zenodo.org/communities/transport-papers.