Transport Papers T12. The Standard Model
Year: 2026
Type: preprint
Abstract: T12 of the Transport Papers. Version 1.0. 64 pages. Epistemic status: Tier C (with Hypothesis (S) declared). Mass first exists at two twistor constituents; this paper computes the composite's symmetries and finds the Standard Model. The minimal massive hierarchy is ℂ² ⊗ ℂ³; its automorphism algebra is su(2) ⊕ su(3) ⊕ u(1) with global form S(U(2) × U(3)), and only a two-by-three hierarchy has this algebra. Hypercharge is the weight of the abelian generator: the quark doublet at Y = 1/6 and the four singlets at 0, −2/3, 1/3, 1, unconditionally; the lepton doublet needs one declared hypothesis, slot statistics, without which the state space holds no lepton. Under it the anomalies cancel, the generation is the half-spinor of Spin(10), and sin²θ_W = 3/8 at unification; the one-loop run refutes the desert, so the running between scales must change. Partner content can do it: it must be split, the rows admissible at one loop decay the proton too fast, and the supersymmetric row is admissible at two loops. So can an intermediate symmetry: the automorphisms preserving the slot/pair split are Pati-Salam, broken with their left-right parity by the rung parity, and the chain meets six times above the proton bound, with the weak angle as an input that the fermion masses fit without tuning through a grade-three Georgi-Jarlskog direction. On the state space the Higgs doublet's representation is the directions transport adjoined; three no-go theorems show the Georgi-Jarlskog factor cannot come from the frozen point, the family structure or the bracket. The smallness problems are powers of N = M_P/H. Every identity is verified in exact arithmetic. Position in the series: Within the series it relies on T01, T03, T06, T07, T08, T09, T10, T11, T13, T14, T15. The series is surveyed in T17, The Transport Programme, whose status table records every paper's tier and check count. Verification: verify_T12.py checks every computational identity in the paper in exact rational arithmetic (206 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_T12.py. Files: T12_standard_model.pdf; T12_standard_model.tex; verify_T12.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.
Author: Butler, Leon
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212386159
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