Leon Butler

Transport Papers T14b. Simulating the Dark Towers: Methods, Assumptions and Tests of the Unit-Ball Composition

T14b of the Transport Papers, a companion note to T14 (Dark Matter and the Arrow of Time). Version 1.0. 36 pages. Epistemic status: Tier C. The dark-matter paper T14 fixes how much matter each dark tower holds. By its unit-ball rule the mirror carries 18.6 percent of the dark mat...

Transport Papers T14a: One Dimension at a Time: The Odd Extensions of the Oriented Towers

T14a of the Transport Papers, a companion note to T14 (Dark Matter and the Arrow of Time). Version 1.0. 23 pages. Epistemic status: Tier C. Position in the series: Within the series it relies on T1, T2, T3, T4, T9, T10, T12 and T14, and is a companion to T14. The series is survey...

Transport Papers T09. The Twistor Correspondence

T09 of the Transport Papers. Version 1.0. 30 pages. Epistemic status: Tier A/B. The series' completion of the spacetime algebra is Cl(1,3) → Cl(2,4), forced by division by zero, and the spinor module of the completed algebra carries Penrose's twistor space as a chirality half. Th...

Transport Papers T04. Clifford Sheaves over Degenerate Metrics

T04 of the Transport Papers. Version 1.0. 50 pages. Epistemic status: Tier A. Let M be a smooth manifold with a cometric G on T^*M, degenerating tamely to corank one on a hypersurface Σ. The Clifford sheaf of the pair meets an apparent contradiction: locally free fibre dimension...

Transport Papers T11. The Origin of Mass

T11 of the Transport Papers. Version 1.0. 24 pages. Epistemic status: Tier B. Mass enters a conformally invariant theory where scale does: as coupling to the frozen point, the parallel scale tractor of squared norm Λ/3. We prove the mass-weight dictionary: a density of conformal...

Transport Papers T14. Dark Matter and the Arrow of Time

T14 of the Transport Papers. Version 1.0. 50 pages. Epistemic status: Tier C. Transport runs in eight parallel towers, the residues of the real Clifford clock. At the dimension nearest four (a flagged premise) two towers are sterile, r = 4 with no time and r = 0 with two (an impo...

Transport Papers T11. The Origin of Mass

T11 of the Transport Papers. Version 1.0. 24 pages. Epistemic status: Tier B. Mass enters a conformally invariant theory where scale does: as coupling to the frozen point, the parallel scale tractor of squared norm Λ/3. We prove the mass-weight dictionary: a density of conformal...

Transport Papers T17. The Transport Programme: Method, Status, and the Falsifiable Ledger.

T17 of the Transport Papers. Version 1.0. 26 pages. Epistemic status: survey. This capstone surveys the Transport Papers, eighteen papers, the primer T0 and the research papers T1 to T17, built on one principle: division by zero in a Clifford algebra is not a prohibition but a fo...

Transport Papers T05. Division by Zero at the Gravitational Singularity

T05 of the Transport Papers. Version 1.0. 77 pages. Epistemic status: Tier B (with named premises). In gauge theory gravity the Schwarzschild solution is carried by an invertibility-demanding linear map, and the singularity is where the theory divides by zero. The series' transpo...

Transport Papers T04. Clifford Sheaves over Degenerate Metrics

T04 of the Transport Papers. Version 1.0. 50 pages. Epistemic status: Tier A. Let M be a smooth manifold with a cometric G on T^*M, degenerating tamely to corank one on a hypersurface Σ. The Clifford sheaf of the pair meets an apparent contradiction: locally free fibre dimension...

Transport Papers T09. The Twistor Correspondence

T09 of the Transport Papers. Version 1.0. 30 pages. Epistemic status: Tier A/B. The series' completion of the spacetime algebra is Cl(1,3) → Cl(2,4), forced by division by zero, and the spinor module of the completed algebra carries Penrose's twistor space as a chirality half. Th...