Skip to main content

Find the original argument.

Search the paper sections, open their original context and follow the checks they actually cite. The knowledge atlas explains the result; this library locates its source.

Matching source sections

28 sections found. Current publication documents are listed before historical material.

-1.2cm TFPT — Origin Theory\\[2mm] The seam as a horizon, the cyclic compiler hull,\\ and the self-reproducing parameter-free fixed point\\[2mm] An \ structural core ( [formula in source] – [formula in source] ) with one honestly-typed \ interpretation

Origin Theory

arrows.meta,positioning,calc,decorations.pathmorphing =3em figures/

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/preamble.tex · lines 1 to 49

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join SpectralGapAttractor.lean

    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 v53_compiler_core.py

    literal short identifier uniquely resolves in local script registry

  • explicit script identifier v56_unique_attractor.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 AnchorLadder.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

Front matter / support

Origin Theory

This note collects, in one derivation, why the two TFPT inputs leave no free dimensionless compiler dial beyond the anchor structure and [formula in source] (the one dimensionful scale [formula in source] and the continuous transfer physics [formula in source] remain explicitly typed, not derived), and how the entire integer skeleton, the seam constant [formula in source] and a built-in cyclic structure all flow from

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/001-section-the-whole-integer-skeleton-from-one-pair-gcar-nf.tex · lines 1 to 35

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • cross reference join tfpt_readouts_extension.wl

    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

  • cross reference join CarrierRankUniqueness.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v56_unique_attractor.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.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v53_compiler_core.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join SpectralGapAttractor.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • cross reference join AnchorLadder.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v8_horizon.py

    literal short identifier uniquely resolves in local script registry

  • cross reference join CalderonProjector.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v3_em_alpha.py

    literal short identifier uniquely resolves in local script registry

  • explicit script identifier v6_bootstrap.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

The whole integer skeleton from one pair [formula in source]

Origin Theory

TFPT runs on two operational inputs: the seam constant [formula in source] (P1) and the carrier rank [formula in source] (P2). The boundary [formula in source] gives the four-punctured line [formula in source] with [formula in source] , hence the family count [formula in source] ( [formula in source] ). We show the rest of the discrete data is generated by the single pair [formula in source] . One object, two canonic

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/001-section-the-whole-integer-skeleton-from-one-pair-gcar-nf.tex · lines 36 to 392

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

Front matter / support

Origin Theory

Capstone — what is genuinely free ( v318_arithmetic_capstone.py). Collecting the arc: the entire SM structural sector — the three generations, the two CP phases, their orbit/hierarchy ordering — is the cyclotomic field [formula in source] with Galois group [formula in source] (degree [formula in source] rank [formula in source] , [formula in source] ), and this skeleton is forced by the anchor atoms [formula in sourc

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/002-section-the-8-is-triply-forced-geometry-lattice-gravity-.tex · lines 1 to 99

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

The `` [formula in source] '' is triply forced: geometry [formula in source] lattice [formula in source] gravity

Origin Theory

The integer [formula in source] in [formula in source] is not a free choice. Three independent routes give it, and the seam [formula in source] horizon reading requires their agreement — which holds, overdetermined. Firewall (status of the `` [formula in source] ''). The geometry and lattice routes are exact . The gravity route is an exact arithmetic alignment with the Hawking/Einstein [formula in source] normalisati

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/002-section-the-8-is-triply-forced-geometry-lattice-gravity-.tex · lines 100 to 207

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

A cyclic element inside the hull: the order- [formula in source] Coxeter rotation

Origin Theory

The compiler hull [formula in source] carries a literal cyclic symmetry, computed from first principles.

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/002-section-the-8-is-triply-forced-geometry-lattice-gravity-.tex · lines 208 to 234

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • explicit file citation v55_coxeter_cycle.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

The unique attractor: a gapped transport selects ONE fixed point

Origin Theory

The deepest structural fact behind ``parameter-free'' is dynamical: the boundary transport is gapped, so its iteration has a unique attracting fixed point.

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/003-section-the-unique-attractor-a-gapped-transport-selects-.tex · lines 1 to 315

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

One [formula in source] for electromagnetism, the cosmic horizon and [formula in source]

Origin Theory

The EM fixed point [formula in source] (the unique root of the boundary [formula in source] Ward identity [formula in source] , v3_em_alpha.py) reappears, unchanged, in the cosmic-horizon sector.

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/003-section-the-unique-attractor-a-gapped-transport-selects-.tex · lines 316 to 357

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • 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.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit file citation v3_em_alpha.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit file citation v55_coxeter_cycle.py

    literal source filename/path in TeX

  • explicit file citation v68_seeley_dewitt_residual.py

    literal source filename/path in TeX

  • explicit file citation v60_lambda_metrology_branch.py

    literal source filename/path in TeX

  • 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

Interpretation : the self-reproducing cosmic cycle

Origin Theory

This entire section is a physical interpretation \ — not derived. The cyclic reading is not a consequence of the axioms. Its kinematics, however, are now machine-checked \ ( v957_ccc_crossover_kinematics.py, CCC.SEAM.KINEMATICS.01: the reciprocal gauge inside [formula in source] , the lens crossover [formula in source] over the seam sphere, the conformal-factor rigidity, the reduced-channel entropy reset); what stays

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/004-section-interpretation-mc-the-self-reproducing-cosmic-cy.tex · lines 1 to 75

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

Falsifiers

Origin Theory

The picture is scientific because it is falsifiable. Following Alessandro's request, each falsifier is tagged by what it tests: \ a strict consequence of the \ core; \ dependent on the \ cyclic interpretation; \ an observational stress test of the physical reading.

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/004-section-interpretation-mc-the-self-reproducing-cosmic-cy.tex · lines 76 to 140

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

The seam and the horizon: the precise statement

Origin Theory

The precise reformulation ( ). The seam is not identical to an event horizon. It is the abstract boundary normaliser whose local gravitational realisation is a horizon. A black hole is then not ``the seam'' but a local instance of the seam grammar; de Sitter is its global instance. This is stronger and cleaner than a direct identification — it avoids importing Schwarzschild analogies wholesale, and it makes [formula

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/004-section-interpretation-mc-the-self-reproducing-cosmic-cy.tex · lines 141 to 392

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

Front matter / support

Origin Theory

The coefficient [formula in source] is internally forced ( v73_k_c3_half.py). The dimensionless coefficient statement splits into two cutoff-independent pieces, neither a free normalisation: [formula in source] where (a) the factor [formula in source] is the universal action [formula in source] EOM factor ( [formula in source] action vs [formula in source] field equation, forced by [formula in source] ); and (b) [for

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/005-section-consequences-and-the-whole-story-mc-label-sec-co.tex · lines 1 to 37

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • 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

  • explicit claim identifier status_ledger.csv

    exact local ledger claim identifier

  • explicit file citation v59_area_law_evidence.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v68_seeley_dewitt_residual.py

    literal short identifier uniquely resolves in local script registry

  • explicit file citation v73_k_c3_half.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit script identifier v471_seam_horizon_replica.py

    literal short identifier uniquely resolves in local script registry

Consequences, and the whole story

Origin Theory

Interpretive section \ — consequences if the seam is a horizon. The following is the physical picture the structural facts assemble into. It is offered as a coherent reading, not a proof; the \ core (

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/005-section-consequences-and-the-whole-story-mc-label-sec-co.tex · lines 38 to 86

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

A closure program (next phase)

Origin Theory

Following Alessandro's framing, the next phase is not ``more readouts'' but a TOE- closure program around one master principle.

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/005-section-consequences-and-the-whole-story-mc-label-sec-co.tex · lines 87 to 214

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

Honest status

Origin Theory

@p5.4cmp2.0cmY@ claim & status & basis \\ [formula in source] generates the integer skeleton; Pythagorean [formula in source] split & & v53_compiler_core.py \\ the [formula in source] in [formula in source] is triply forced (geo [formula in source] lattice [formula in source] gravity) & & v54_seam_horizon_keystones.py \\ one boundary transport for flavor and horizon ( [formula in source] ) & & v54_seam_horizon_keysto

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/006-section-honest-status-label-sec-status.tex · lines 1 to 316

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

Appendix: computational verification

Origin Theory

Every \ statement here is machine-checked in the TFPT suite and re-derived independently in Wolfram: @p4.7cmY@ script & content \\ v53_compiler_core.py & [formula in source] skeleton, Pythagorean [formula in source] split, anchor char-poly uniqueness \\ v54_seam_horizon_keystones.py & triply-forced [formula in source] ; shared transport [formula in source] ; de Sitter constants \\ v55_coxeter_cycle.py & computed [for

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

documents/origin_theory/sections/006-section-honest-status-label-sec-status.tex · lines 317 to 338

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

  • explicit file citation v54_seam_horizon_keystones.py

    literal source filename/path in TeX

  • cross reference join AnchorLadder.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • 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

  • explicit file citation v56_unique_attractor.py

    literal source filename/path in TeX

  • explicit file citation v55_coxeter_cycle.py

    literal source filename/path in TeX

  • explicit file citation run_all.py

    literal source filename/path in TeX

  • cross reference join tfpt_readouts.wl

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

  • explicit file citation tfpt_readouts.wl

    literal source filename/path in TeX

  • explicit file citation make_figures.py

    literal source filename/path in TeX

  • explicit file citation v53_compiler_core.py

    literal source filename/path in TeX

  • cross reference join SpectralGapAttractor.lean

    TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred

Front matter / support

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.

Front matter / support

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.

Front matter / support

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.

External works built upon

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.

What this source index covers

The public registry includes 116 document views, 6,693 section records and 985 physical LaTeX sources. Active publication documents, research material and archives retain their recorded roles. This is source navigation, not a new semantic review or proof run.