Transport Papers T16. Quantum Mechanics and General Relativity from One Relation

T16 of the Transport Papers. Version 1.0. 31 pages. Epistemic status: Tier B/C. The Clifford relation is a metric on an orthogonal basis and the canonical anticommutation relations on a Witt basis: geometric versus quantum is a choice of chart. The tower paper's capacity splits into real and complex: Lorentzian signature has real capacity one, the boost qubit; each ascent raises both by one; the ascended complexification has capacity three, the Standard-Model paper's pair count for the strong force and four dimensions, on its conditions. Single-mode Hawking thermality is read from the rung. Every spacetime point is null under the completion's embedding, its null vector annihilating a line of twistors, all Fock vacua: a point is a line of vacua, spacetime the manifold of lines, general relativity the dynamics of the vacua, quantum mechanics the dynamics above one. In the laboratory the mass is the condensate, at a reading's level, the time orientation the flag, under an open hypothesis, the imaginary unit the rest frame read through the law (proved), and the rest frame unsourced. The vector derivative and Dirac current are proved unique in their classes, the form of the law on even fields is forced by its square given first order, and c is the conversion constant between the charts, a conformal invariant below ħ and G. Born's rule is located, not derived; measurement is recording, under a flagged premise; collapse is answered by a vote with its gaps named; under one more premise, experience is single and flowing, and the hard problem is the final limit. Tier B/C; exact verification. Position in the series: Within the series it relies on T01, T03, T04, T05, T06, T08, T09, T10, T11, T12, T13, T14. The series is surveyed in T17, The Transport Programme, whose status table records every paper's tier and check count. Verification: verify_T16.py checks every computational identity in the paper in exact rational arithmetic (146 checks, all passing at deposit). It imports GA.py, the series' shared exact-arithmetic library, deposited alongside so the record is self-contained. Run with a bare Python 3: python verify_T16.py. Files: T16_qm_gr_one_relation.pdf; T16_qm_gr_one_relation.tex; verify_T16.py; GA.py; LICENSE-CODE.txt. Licence: the paper (PDF and LaTeX source) is CC BY 4.0. The code files in this record are additionally released under the MIT licence; see LICENSE-CODE.txt. 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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22723213
Primary Topic
International Science and Diplomacy
Type
preprint
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preprint

Transport Papers T16. Quantum Mechanics and General Relativity from One Relation

Leon Butler
Zenodo (CERN European Organization for Nuclear Research)
International Science and Diplomacy
preprint

Transport Papers T16. Quantum Mechanics and General Relativity from One Relation

Leon Butler
preprint en

Abstract

T16 of the Transport Papers. Version 1.0. 31 pages. Epistemic status: Tier B/C. The Clifford relation is a metric on an orthogonal basis and the canonical anticommutation relations on a Witt basis: geometric versus quantum is a choice of chart. The tower paper's capacity splits into real and complex: Lorentzian signature has real capacity one, the boost qubit; each ascent raises both by one; the ascended complexification has capacity three, the Standard-Model paper's pair count for the strong force and four dimensions, on its conditions. Single-mode Hawking thermality is read from the rung. Every spacetime point is null under the completion's embedding, its null vector annihilating a line of twistors, all Fock vacua: a point is a line of vacua, spacetime the manifold of lines, general relativity the dynamics of the vacua, quantum mechanics the dynamics above one. In the laboratory the mass is the condensate, at a reading's level, the time orientation the flag, under an open hypothesis, the imaginary unit the rest frame read through the law (proved), and the rest frame unsourced. The vector derivative and Dirac current are proved unique in their classes, the form of the law on even fields is forced by its square given first order, and c is the conversion constant between the charts, a conformal invariant below ħ and G. Born's rule is located, not derived; measurement is recording, under a flagged premise; collapse is answered by a vote with its gaps named; under one more premise, experience is single and flowing, and the hard problem is the final limit. Tier B/C; exact verification. Position in the series: Within the series it relies on T01, T03, T04, T05, T06, T08, T09, T10, T11, T12, T13, T14. The series is surveyed in T17, The Transport Programme, whose status table records every paper's tier and check count. Verification: verify_T16.py checks every computational identity in the paper in exact rational arithmetic (146 checks, all passing at deposit). It imports GA.py, the series' shared exact-arithmetic library, deposited alongside so the record is self-contained. Run with a bare Python 3: python verify_T16.py. Files: T16_qm_gr_one_relation.pdf; T16_qm_gr_one_relation.tex; verify_T16.py; GA.py; LICENSE-CODE.txt. Licence: the paper (PDF and LaTeX source) is CC BY 4.0. The code files in this record are additionally released under the MIT licence; see LICENSE-CODE.txt. 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.

Zenodo (CERN European Organization for Nuclear Research)
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International Science and Diplomacy
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