24 sections found. Current publication documents are listed before historical material.
Horizon readouts
-1.2cm TFPT — Appendix H: the horizon unit system\\[2mm] One seam constant [formula in source] as the universal horizon thermal code\\ (Hawking, de Sitter, Unruh, Page, scrambling — standard physics in seam units, not new gravity)
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/preamble.tex · lines 1 to 35
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
Horizon readouts
A change of bookkeeping, not new gravitational physics: if gravity is the geometry-channel readout of the seam, then all horizons read the same boundary constant [formula in source] . This note collects the readouts — Hawking, de Sitter and Unruh temperature, black-hole thermodynamics, the Page time, scrambling, the Nariai bound, [formula in source] and cosmic birefringence — in seam units, with two genuine compiler
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 1 to 63
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
Horizon readouts
Every Killing horizon has [formula in source] . Since [formula in source] the universal factor is the seam constant: [formula in source] . Black holes, de Sitter and Unruh therefore share one thermal grammar. \ v8_horizon.py
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 64 to 73
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit file citation v8_horizon.py
literal source filename/path in TeX
- cross reference join CalderonProjector.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join HiggsTopForm.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
Horizon readouts
For a non-rotating, uncharged hole in Planck units ( [formula in source] ): [formula in source] Two of the constants are compiler numbers, not coincidences: the Hawking temperature factor is [formula in source] — the same P1 boundary normaliser; the radiated-power denominator is [formula in source] , the Weyl-group order of the [formula in source] carrier. Scope of [formula in source] : this is the idealised massless
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 74 to 122
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
Horizon readouts
Since [formula in source] and [formula in source] , the Page point ( [formula in source] ) is [formula in source] In TFPT the Page curve is boundary recoverability: the physical sector is OS-reconstructed and gapped, and the recovered mutual information decays at the transfer rate, [formula in source] . This is the same operator that builds the Standard Model: the boundary transport spectrum is [formula in source] an
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 123 to 152
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
Horizon readouts
With the action-grammar Hubble/ [formula in source] readouts ( [formula in source] , [formula in source] ), the asymptotic de Sitter horizon gives [formula in source] This is the area-law horizon capacity of the universe from [formula in source] alone. The maximal black hole in de Sitter (Nariai) is [formula in source] the absolute gravitational-capacity limit, not an observed structure.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 153 to 168
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
Horizon readouts
The Nariai limit is not just a capacity number — written in compiler units, the entire Schwarzschild–de Sitter (SdS) family lands on atoms that are already load-bearing elsewhere in TFPT, with no adjustable parameter on either side. \ v101_horizon_anchor.py
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/001-section-the-seam-constant-is-the-universal-horizon-tempe.tex · lines 169 to 400
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
Horizon readouts
The resummed clock: the bend has a closed form ( / ). The ``bend'' is not an exotic target — the frozen transfer spectrum is a resummed logarithm. (1) Spectrum reading : the eigenvalues [formula in source] are exactly [formula in source] so the clock has the closed form [formula in source] — it reproduces [formula in source] , and the v107 bend [formula in source] becomes a one-line consequence. (2) The linearisation
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/002-section-turnaround-radius-gravitational-waves-light.tex · lines 1 to 225
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit script identifier v132_detratio_anomaly.py
literal short identifier uniquely resolves in local script registry
- explicit file citation v124_resummed_clock.py
literal source filename/path in TeX
- explicit file citation v130_born_square.py
literal source filename/path in TeX
- explicit script identifier v115_anchor_residue.py
literal short identifier uniquely resolves in local script registry
- explicit file citation v126_clock_wall_bridge.py
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v144_detratio_family.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v138_vw_firewall.py
literal source filename/path in TeX
- explicit file citation v147_clock_gaussian.py
literal source filename/path in TeX
- explicit script identifier v103_trisection_normal_form.py
literal short identifier uniquely resolves in local script registry
- explicit file citation v101_horizon_anchor.py
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v95_centered_diamond.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v129_entropy_power_law.py
literal source filename/path in TeX
- explicit script identifier v101_horizon_anchor.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v127_ring_resummation.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v54_seam_horizon_keystones.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v102_seam_orientation.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v133_zeta_budget.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v69_d4_q_geometry.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v104_nariai_clock.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v124_resummed_clock.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v131_measure_is_area.py
literal source filename/path in TeX
- explicit file citation v133_zeta_budget.py
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v107_quantum_clock_target.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v131_measure_is_area.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v126_clock_wall_bridge.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v132_detratio_anomaly.py
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v119_review_validation_2.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v144_detratio_family.py
literal source filename/path in TeX
- explicit file citation v127_ring_resummation.py
literal source filename/path in TeX
- explicit file citation v128_graded_hull.py
literal source filename/path in TeX
Horizon readouts
Bound structures. In a [formula in source] -universe the maximal bound radius is [formula in source] — halo, cluster, supercluster and void scales follow from the [formula in source] closure with no new parameter.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/002-section-turnaround-radius-gravitational-waves-light.tex · lines 226 to 249
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
Horizon readouts
The cosmic birefringence [formula in source] is the asymptotic (Thomson-limit) projection of the determinant-line response; the local projection onto the magnetised collar of a horizon-scale black hole is a structured, achromatic residual rotation of the linear-polarization angle v203_eht_achromatic.py [formula in source] where the coupling [formula in source] is fixed exactly ( ) — the same top-form coefficient [for
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/002-section-turnaround-radius-gravitational-waves-light.tex · lines 250 to 276
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
Horizon readouts
Black-hole echoes / horizonless compactness: any near-horizon echo amplitude ratio would be a natural transfer-rate target, [formula in source] . The same window [formula in source] that the SdS roots trace surfaces independently as the maximum horizonless gravastar compactness [formula in source] (de Sitter endpoint [formula in source] ) of Jampolski–Rezzolla (2026); since [formula in source] such an object is a hor
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/002-section-turnaround-radius-gravitational-waves-light.tex · lines 277 to 341
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
Horizon readouts
The seam-unit identities of this note (the thermal grammar [formula in source] , the power denominator [formula in source] , the de Sitter entropy form, the Page fraction, the scrambling [formula in source] , and [formula in source] ) are re-derived and machine-checked in verification/v8_horizon.py. Run python verification/v8_horizon.py (needs mpmath); it imports the same [formula in source] primitive as the rest of
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/tfpt_horizon_readouts/sections/002-section-turnaround-radius-gravitational-waves-light.tex · lines 342 to 353
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- cross reference join HiggsTopForm.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join CalderonProjector.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v8_horizon.py
literal source filename/path in TeX
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · Verification safeguards · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap
Plain language: TFPT (Topological Fixed-Point Theory) is a small discrete compiler. Two inputs — the seam constant [formula in source] and the carrier rank [formula in source] — build [formula in source] and read off the Standard-Model skeleton, the constants and the scale grammar. The series is the introduction plus five numbered papers and four companions (plus one standalone working note), best read in order: intr
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_docset.tex · lines 1 to 44
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · TFPT — Introduction and reading guide · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · E8 audit and bootstrap · Frontier and open physical interfaces · Red-team audit · Horizon readouts · Research contracts · Verification safeguards · input 4 origin theory · input 5 tfpt 3 e8 audit bootstrap · Verification reference catalog
\\[2pt] [formula in source] — the unique even unimodular rank- [formula in source] glue \ [E] exact (lattice).
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_figures.tex · lines 1 to 150
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 1 to 11
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
The TFPT discrete core (the two axioms, the [formula in source] glue, the integer skeleton) is self-contained and machine-checked. Its bridges to continuum/AQFT physics, to gravity and to the lattice/singularity picture build on established mathematics, listed here by topic; the body refers to these by author name.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 12 to 19
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
M. Takesaki, Tomita's Theory of Modular Hilbert Algebras and its Applications, Lecture Notes in Math.\ 128, Springer (1970). J. J. Bisognano, E. H. Wichmann, On the duality condition for a Hermitian scalar field / for quantum fields, J. Math.\ Phys.\ 16 (1975) 985–1007; 17 (1976) 303–321. K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions I, II, Comm.\ Math.\ Phys.\ 31 (1973) 83–112; 42 (1975) 281–30
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 20 to 42
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
I. B. Frenkel, V. G. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent.\ Math.\ 62 (1980) 23–66; G. Segal, Unitary representations of some infinite-dimensional groups, Comm.\ Math.\ Phys.\ 80 (1981) 301–342. T. J. Osborne, A. Stottmeister, Conformal field theory from lattice fermions, Comm.\ Math.\ Phys.\ 398 (2023) 219–289, arXiv:2107.13834, doi:10.1007/s00220-022-04521-8. (This is
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 43 to 71
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
J. H. Conway, N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed., Grundlehren der math.\ Wiss.\ 290, Springer (1999). C. L. Siegel, \"Uber die analytische Theorie der quadratischen Formen (the Minkowski–Siegel mass formula), Ann.\ of Math.\ 36 (1935) 527–606.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 72 to 79
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.
origin theory · tfpt research contracts · tfpt 1 architecture e8 · tfpt 2 standard model · tfpt research contracts · tfpt 1 architecture e8 · input 4 origin theory · Origin Theory · Architecture, E8 and the electromagnetic fixed point · Standard Model and flavor structure · Frontier and open physical interfaces · Horizon readouts · Research contracts · input 4 origin theory
E. Brieskorn, Beispiele zur Differentialtopologie von Singularit\"aten, Invent.\ Math.\ 2 (1966) 1–14. J. Milnor, Singular Points of Complex Hypersurfaces, Ann.\ of Math.\ Studies 61, Princeton Univ.\ Press (1968).
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
tex-artefacts/tfpt_references.tex · lines 80 to 87
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
No explicit verification citation is attached to this section in the registry.