Publication history: 2026-06-12

Details

• Release version string. build.sh now writes tex-artefacts/release-version.txt as {TFPTversion} (rev {git count}) (matches \TFPTdatestamp without the date). scripts/zenodo_upload.py and build.sh zenodo/zenodo-publish use this label on Zenodo; cursor rules extended for when zenodo_description.html must move with deposit-facing changes.

Details

• Automated Zenodo versioning. Added scripts/zenodo_upload.py and .github/workflows/ zenodo-release.yml: creates a new draft version of record 20579275 (DOI 10.5281/ zenodo. 20579275), uploads the ten active paper PDFs, refreshes zenodo_description.html, bumps the version from tex-artefacts/version.tex, and optionally publishes via GitHub Actions (ZENODO_TOKEN secret).

Details

• One-way GitHub mirror for Overleaf sync. Added scripts/export-shadow.sh and .github/workflows/shadow-sync.yml: on every push to main, a filtered copy is pushed to sthamann/tfpt5-shadow (papers, tex-artefacts/, figures/, verification/, experiments/; excludes _archive/, website/, all *.pdf, .cursor/). \sim270 files / \sim3 MB — within Overleaf GitHub-sync limits.

Details

• Fewer boxes, embedded in text. origin_theory from 22 to 16 boxes: the narrative/interpretation callouts (“Why the interpretation is internally consistent”, “Dependency chain of the birefringence test”, “The precise reformulation”, “The three theses honestly graded”, “The whole story”, “One-line summary”) become run-in bold prose; the boxed reformulation becomes a keyeq. The exact result keyboxes (v53–v56, v101, v105, v113, …) and the master-principle / Seam–Horizon target boxes are kept.
• Colour-marked module references + marker hygiene. \vref applied to the inline vN references; stale literal [A]/[I]/[L] markers in running text replaced by the 4-class [O]/[E].

Details

• Forked document-set box removed (horizon). tfpt_horizon_readouts carried a hand-written, stale copy of the document-set card (“five short documents”, missing tfpt_5) and the canonical \input{tex-artefacts/tfpt_docset}; the fork is deleted so the single-source card (all five papers + three companions) appears once.
• Fewer boxes, embedded in text. Narrative/result callouts converted to run-in bold prose (with the \veri{} citation moved out of the bold title into the body): tfpt_horizon_readouts from 22 to 7 boxes (the ten-box “clock” wall becomes prose); tfpt_research_contracts from 19 to 10 (the nine progress/result winboxes become prose, the named-theorem keyboxes kept); tfpt_5_redteam from 10 to 9 (the outcome summary; the per-target verdict boxes are kept as the structured red-team output).
• Colour-marked module references + marker hygiene. \vref applied to the inline vN references in all three documents; the horizon “Scope/typing” marker line and a stale literal [A] in the research contracts updated to the 4-class markers.
• Build hardening. build.sh now removes a document's .aux/.toc/% .out on failure, so a half-written cross-reference file from a crashed compile cannot poison the next build; artefacts are still kept on success.

Details

• R3: the Calderón/DtN kernel is conically clean (v151). Reflection doubling derives that the Kac corner constant is boundary-condition independent (C_N=C_D), so by the Burghelea–Friedlander–Kappeler gluing ledger the conical deficit of the two-sided Calderón jump determinant vanishes identically (C_{\mathrm{cone}}(\gamma)-2C_D(\gamma/2)=0): the seam-reduced effective action inherits the v150 EH form verbatim, with all of it localised in the local half-space determinants — the “Calderón version” demanded by v150 needs no separate derivation. SEAM.THEOREM.01 narrows to the q(A_3) normalisation plus the standing kernel premise; the gate stays [O](ledger SEAM.EHMODEL.02).
• Bookkeeping. Suite at 151 modules, all green; Wolfram extension 218/218; intro/README/origin_theory/next.txt moved together.

Details

• R4': both dual normals are anchor data (v149). In the cusp frame the torsion normal pairs to (6,3,5)=(p_2,p_0,e_2)(a) — one anchor invariant per Q_+ line (the cusp matrix is unimodular, so this determines n uniquely); with d=\tfrac32a-2\cdot\mathbf1 the dual normal pair is anchor data through and through. Equivalences to the (2,8,121) frame data and the w_0-lift exact. R4' residue = one discrete assignment (ledger GATE.UWALL.14).
• R3: the mechanism exists at the gapped-model level (v150) — the first movement on SEAM.THEOREM.01. The conical heat-trace deficit is exact and t-independent (Cheeger image sum (N^2{-}1)/(12N)); for a gapped operator the \zeta-regularised replica variation is finite and cutoff-independent, \Delta\log\det'=2C(\gamma)\ln m, and its linearisation is the Einstein–Hilbert form (\ln m/12\pi)\int\!\sqrt gR. The v73 normalisation becomes one exact target equation: k=\cthree/2\Leftrightarrow\ln m=\tfrac34=q(A_3) (audit, not asserted). Remaining: the Calderón (boundary) version and that normalisation — the gate narrows but stays [O](ledger SEAM.EHMODEL.01).
• Bookkeeping. Suite at 150 modules, all green; Wolfram extension 217/217; status surfaces (intro reductions + card, origin_theory, contracts, next.txt, website) moved together.

Details

• R4': the pairing values are atom identities (v145). Reading the v139 lift structurally (n=w_0(\sigma)+|\mu_4|e_3, w_0= the A_3 exponent duality), all three pairings become atom arithmetic — including the new closure |\mu_4|+\gcar=\Nfam^2 (4{+}5{=}9, \sigma\perp w_0(a)) and \|\sigma\|^2=110=|\Z_2|\gcar\|\mathrm{Pl}(K)\|_1. R4' = derive one map (ledger GATE.UWALL.13).
• R5: the Möbius D_4 realisation (v146). The full dihedral symmetry \langle z{\mapsto}iz,\,z{\mapsto}1/z\rangle of the seam curve acts on H^1 exactly as the integer model: \iota^* is the exponent duality with parity +1 on the self-conjugate line (=T_A in the cusp basis, glue-swap parity), and \Sigma is the \delta\iota class — the premise reduces to the module identification itself (ledger FLAV.QGEO.07).
• R1: the clock is a Gaussian zero-mode integral, and the bend is det'-clean (v147). Variance ratio (1-\alpha) (forced by norm = area) gives the Born-squared ratio (1-\alpha)^{p_2}, the \ln series is the v127 ring sum; the two quantum weights share one Nariai geometry, so the bend \log_{3/2}3 carries no determinant correction — the v144 obstruction is localised to the \alpha=0 reference (ledger HOR.CLOCK.13).
• R2: the NS/R sector census (v148). The untwisted (Neveu–Schwarz) module carries only the even discriminant classes (integer weights), so the odd \mu_4 simple currents have zero NS support — they are Ramond modules; the R zero-mode module (256) splits 128{+}128 into the odd sectors of the two Lagrangian glues: choosing the glue is choosing the R-projection (248=120_{\mathrm{NS}}{+}128_{\mathrm R}); the one remaining net statement is irreducibly twisted-sector (ledger GATE.METRIC.10). Correction note (same day): the first version of v148 graded the Ramond labels by the sum q_D{+}q_A (not the glue label) and called that module untwisted; the census was rewritten as above — conclusion unchanged, support corrected, the R-sector sheet split is new.
• Bookkeeping. Suite at 148 modules, all green; Wolfram extension 215/215 (README + GATE.WOLFRAM.02 + website counter in lock-step); status surfaces (intro card, tfpt_1, origin_theory third update, next.txt) moved together.

Details

• \Lambda normalisation made unambiguous. The external review flagged the adjacent reduced/unreduced displays in origin_theory as a type trap (the formulas were individually correct — \bar M_{\mathrm{Pl}} vs M_{\mathrm{Pl}} — but easy to misread). Both normalisations are now shown explicitly side by side with their order counts (3/(4\pi^2)\Rightarrow120.147 reduced; 3/(256\pi^4)\Rightarrow122.948=119.028+3.920 unreduced) plus a typing note.
• Stale references cleaned. “How each of the seven papers simplifies” \to “How the legacy layers simplify (bridge map)” with the lead-in “(Paper 6)” reference replaced by the scalaron-reheating chain (v86); “(Paper6/7)” in the tfpt_3 bridge table reworded; the tfpt_1 “single remaining geometric input (H2)” passage and the tfpt_2 “single remaining input (U)” passage carry dated status updates pointing at the current decomposition (v118–v122, v139, v141, v142, v75).
• Marker migration completed in the shared figures. The claim stack, anchor cockpit, E_8 glue, 2/3 motif and K_5 figures (tex-artefacts/tfpt_figures.tex) now show the four public classes [E]/[C]/[O]instead of the legacy [A]/[I]/[L]/[B]/[P]/[R] badges.
• Red-team front table pulled to the final state. The Target-A residual column now states the one remaining statement (boundary-net holomorphy + c{=}8 \Leftrightarrow index-4 inclusion; v83/v87/v89, Lie-level realisation v143); the historical three-residual form is kept below, dated.
• Website parity. The Red Team document is now a first-class entry (papers.ts number 5, slug redteam) and the changelog PDF a download row; Appendix H / Origin Theory / Research Contracts are labelled companions (never “Paper 5–7”); the marker system on every website surface migrated to [E]/[C]/[O]/[X] (fine types named in prose; the script index keeps quoting the scripts' internal fine-grained typing); the verification page counters are live (144 checks generated from the registry via lib/suite.ts, Wolfram 116/116+211/211 — now guarded by the sync audit) and the reproduce block matches the current pipeline. The papers.ts section bodies of the affected papers carry the v141–v144 outcomes (sheet question: deck derived; G_{net}: Lie-level realisation; resummed clock: in-family det-ratio cancellation; selector triangle: two line pairings).
• Not adopted (recorded for transparency): the review's narrative reframings (anchor-algebra trilogy, “one seam clock” framing, one-page structure) and the front-matter/status-card layout changes are editorial decisions left to the authors; the claimed \Lambda error was in fact a correct-but-treacherous notation switch (see above).

Details

• R5 closed at the discrete level (v141, deck selection theorem). The v140 \Z_3 choice is derived: the established integer deck G=T_A\Sigma (v97/v98) pairs the Q_+{=}1 cusp line with the self-conjugate character 2, so only the sheet-twisted assignment (2,3,1)=\mathrm{chars}(-U) survives; the cusp exponential i^{Q_+} is excluded (same spectrum, wrong grading pairing). Explicit conjugacy constructed; under k\to-k only the established sheet \Z_2 flips. Consequence: Euler grading =Q_+\!\circ\rho. GATE.QGEO keeps only its realisation premise — no discrete freedom left (ledger FLAV.QGEO.06).
• R4' narrowed: three pairings \to two (v142, frame integrality). Integer covectors in the (\mathbf1,a,\sigma) dual frame form an index-11 sublattice (x-3y+z\equiv0 mod 11; the index is \|\mathrm{Pl}(K)\|_1); with (x,y)=(|\Z_2|,\mathrm{rank}\,E_8) the \sigma-pairing is forced \equiv0 mod 11, and primitivity forces the line parameter even. Cramer reductions for both line pairings recorded as restructuring (ledger GATE.UWALL.12).
• R2 realised at the finite Lie level (v143, graded Frobenius). The \Z_4-graded hull carries exact coset duality (-C_1=C_3; Killing pairing nondegenerate per g_k\times g_{-k}), the glue average is exactly the carrier projector (index 4), and each glue sector is one Weyl orbit (simple currents, fusion =\mathbb C[\Z_4]) — the v125 Q-system realised by the hull; residue = one conformal-net statement (ledger GATE.METRIC.09).
• R1's det-ratio step derived in-family (v144). e_2-rigidity of the traceless SdS cubic gives r_br_c=1-\Delta^2/3 exactly; with the v132 anomaly the non-zero-mode determinant ratio is (1-\Delta^2/3)^{4/3} — no first-order term in the horizon split (the v131 cancellation derived, not assumed); deficit coefficient \tfrac{32}{27}=|\mu_4|(\tfrac23)^3 (audit). Finite-weight absorption stays [C]with the 6\to\tfrac{14}3 obstruction stated sharply (ledger HOR.CLOCK.12).
• R3 attempted, honestly unchanged. No defensible computation landed for the seam-determinant\toEH step (SEAM.THEOREM.01); the gate keeps its [O]typing untouched.
• Wolfram mirror extended to v141–v144: extension file now 211/211 (GATE.WOLFRAM.02 and the wolfram README updated in lock-step); Python suite at 144 modules, all green.

Details

• Single-source script index. The master script\tocheck table (tex-artefacts/verification.tex) and the website ScriptIndex.tsx are now generated from one registry (script_registry.csv + script_clusters.csv in verification/) by make_script_index.py; both targets carry a generated-file header and are never edited by hand.
• Content maps without splitting the papers. verification/make_docs_map.py generates docs_map.csv (every paper section with line range, the vN scripts cited there, a content hash and a last-changed date) and website_map.csv (which website file mentions which scripts/documents) — the machine-readable enumeration of all sync surfaces.
• One sync audit. verification/audit_sync.py bundles and extends the previous loose shell checks, now in both directions: suite \leftrightarrow run_all.py \leftrightarrow registry \leftrightarrow ledger; every script cited in a paper body (the master index alone no longer counts); no stale \veri/\vref targets; every new module mentioned in this changelog; website mirror byte-identical (PDFs, scripts, release.ts hashes, version stamps); wolfram counts; overfull boxes. Frozen exceptions live in audit_baseline.json (remove-only).
• Build pipeline. build.sh gains gen / website / audit / release steps; notes now regenerates the single-source surfaces first; website copies all active PDFs (now incl. tfpt_5_redteam.pdf and changelog.pdf, with new release.ts entries) and the vN scripts, and stamps version, date and git revision into website/lib/version.ts (shown in the site header) and release.ts.
• Citation gaps closed. The audit immediately found three scripts cited only in the master index: v17 and v85 are now cited in their tfpt_2 sections (hexagonal resolvent; master cover), and two short \veri{v19} citations were expanded to the full script name. v91 (spine tetrahedron) had no paper section at all — it is now integrated: a keybox in tfpt_3 (“Three views of one spine”: anchor closure, edge/face products, volume 120, K_6 negative control, the tautology/sub-grammar caveats) and a closing note in the tfpt_1 Spine Quotient Lemma; the ARCH.SPINE.01 ledger location is corrected to tfpt_1;tfpt_3 and the baseline exception list is empty again.
• Rules. .cursor/rules updated (tfpt-workflow, website-sync) and a new sync-maps rule added describing the agentic procedure: regenerate the maps first, enumerate the affected surfaces from them, audit as the exit gate. The mirror map (website_map.csv) also covers the root README.md and next.txt (bare vN ids resolved to full script names), and both files are named explicitly as status surfaces that move with every finding.

Details

• Shared header/footer on tfpt_3. tfpt_3_e8_audit_bootstrap dropped its custom \footmarkers footer (the post-collapse four-[E]artefact) and inherits the shared tfpt_style header/footer with the version stamp; the box-orphan needspace guards are kept.
• Fewer boxes, embedded in text. Narrative/commentary callouts converted to run-in bold paragraphs (boxed one-line formulas to keyeq): tfpt_3 from 39 to 27 boxes (e.g. “Purpose and discipline”, the five “(i)–(v)” audit-lemma boxes, “Net”, “The connection in one sentence”, “The unification”, “The question and the honest answer”, “Net: two axioms”); tfpt_4 from 18 to 7 (the seven-box Koide stack and the two dark-matter conjecture boxes become prose). The per-item “Honest status of …” keyboxes are kept — tfpt_4 is the status authority for the frontier.
• Colour-marked module references. \vref applied to the inline vN references in tfpt_3 and tfpt_4 (TikZ node names excluded).
• Marker hygiene. A stale literal [P] in tfpt_4 (Koide flow-time) replaced by the 4-class [C]; status tables checked against the ledger.

Details

• Shared header/footer everywhere. tfpt_1_architecture_e8 dropped its custom \footmarkers footer (which after the marker collapse showed four redundant [E]) and now inherits the shared tfpt_style header/footer with the version stamp, identical to every other document.
• Fewer boxes, embedded in text. The narrative/commentary callouts of both documents are converted to run-in bold paragraphs (and the boxed one-line formulas to the colour-marked keyeq): tfpt_1 from 21 to 14 loud boxes (+3 keyeq); tfpt_2 from 52 to 43 (e.g. “In one sentence”, “The one-paragraph version”, the four “Sharpening” notes, “What the simplification means net”, “The disciplined main statement”, “What improves…”, “Scope and honesty”). Only genuine results / theorems / gates keep a box.
• Colour-marked module references. \vref now also colours the inline vN references throughout tfpt_1 and tfpt_2 (TikZ node names accidentally matching the pattern were excluded).
• Status currency. tfpt_2's inflation-pivot table gains the v86 scalaron-reheating point (N_\star{=}51.4\Rightarrow n_s{=}0.9611, r{=}0.0045, A_s-disfavoured) and states the band-of-record explicitly, matching COSMO.NSTAR.01 and the introduction; the box is re-typed [C]. The other status tables were checked against the ledger and are current under the 4-class markers.

Details

• Four-class display markers. The reader-facing marker system is collapsed from eleven symbols to four: [E]exact / machine-proven (identity, Lie/lattice, formalised, numerical FP), [C]conditional (physical / bridge / readout under named hypotheses), [O]open / axiom, and [X] kill test. tex-artefacts/tfpt_style.tex defines \mE/\mC/\mO/\mX and keeps the legacy \tI \ldots \tX names as aliases that render their class. All marker call-sites across the nine documents and the shared fragments were rewritten, collapsing same-class combinations (e.g. [I]/[L] \to [E], [N]/[P] \to [E]/[C]). The fine-grained per-claim type (Axiom / Formal / Lattice / Numerical / Identity / Physical) is unchanged in status_ledger.csv — the single source of truth — so no fidelity is lost. The marker key, badge bar, README marker table and the workflow rule were updated to match.
• Status tables reconciled against the ledger. The introduction's inflation/N_\star rows are made consistent with v86/COSMO.NSTAR.01: r and n_s are shown as the frozen bands over N_\star\in[50,60] with the scalaron-reheating conditional point N_\star{=}51.4 (n_s{=}0.9611, r{=}0.0045), replacing the stale point values N_\star{=}55 (predictions table) and N_\star\simeq57 (residual card); the closure-ledger inflation row is re-typed [E] \to [C] (conditional on M_{\rm Star}{=}M_{\rm scal} + reheating), matching the other two tables and the ledger [P] typing.

Details

• Authors, auto-date and auto-version on every paper. New single source tex-artefacts/version.tex defines \TFPTauthors (Stefan Hamann, Alessandro Rizzo), a curated \TFPTversion, and a title/footer date stamp (\today + version + revision). build.sh writes the auto build revision (git commit count) into the gitignored tex-artefacts/version-auto.tex, so every document's title page and page footer carry author, date and v\TFPTversion (rev N) automatically. All nine active documents and changelog.tex now set \author{\TFPTauthors}.
• Builder keeps build artefacts. build.sh no longer deletes the .aux/.log/.out/.toc after a successful build (the .log is needed for the overfull-box audit and the .aux/.toc for correct cross-references on the next incremental build).
• Predictions table outsourced. The running/upcoming-experiment predictions table is moved from introduction.tex into the shared fragment tex-artefacts/predictions.tex (\input in the predictions section).
• K5 figure fixed. The \TFPTactionkfive mnemonic (K_5 on the five carrier slots) is redrawn so the complete graph and the Pascal-row reading list sit side by side instead of overlapping.
• Colour-marked script references. New \vref macro colours inline module references (e.g. v108–v113, v49/v71) in the introduction, predictions and verification fragments, matching the blue of the \veri citation, so machine-checked references are visible at a glance.
• Lighter, non-breaking, embedded boxes. The tcolorbox families are restyled to a light tint + thin frame + light title band with dark coloured title (no heavy white-on-saturated bars); a neutral navbox carries the document map and a colour-marked keyeq sets off load-bearing display formulas. The introduction's callouts use the non-breaking variants (keyboxnb/winboxnb/gapboxnb) so no box splits across a page, and the shared status card is non-breaking.
• Readability / sectioning. The dense run-in prose of the introduction is broken into \subsection* headings (In plain words; one anchor and E_8 as a compiler hull; the companion documents; the compact status formula; the hard reduction; the Pascal action grammar; the closure ledger) with added whitespace.
• Orphan results linked to scripts. The Glue theorem, the “Reduction in one line” and the fermion-spectrum callouts now carry inline \veri{} citations (v1, v6/v14/v23, v18/v20/v46).

Details

• Shared imports moved to tex-artefacts/. The shared, imported-only TeX fragments (tfpt_style.tex, tfpt_figures.tex, tfpt_docset.tex, tfpt_status.tex) now live in a dedicated tex-artefacts/ folder; all nine active documents \input them via tex-artefacts/<name> (and tfpt_style loads tex-artefacts/tfpt_figures). changelog.tex stays at the repo root because it is also a standalone build.sh notes deliverable. The make_manifest.py TEX list and the workflow rule were updated to the new paths.
• Master script index outsourced (tex-artefacts/verification.tex). The long vN\tocheck table is moved out of introduction.tex into the shared fragment tex-artefacts/verification.tex (\input in the verification appendix); the paper-consistency audit now also reads that file, so every registered script stays cited exactly once.
• Introduction box reduction (B2). The introduction's eleven keyboxes are reduced to the single headline “In one sentence” card; the explanatory keyboxes (In plain words, Sharper still, compact status formula, hard reduction, Cosmology Pascal, E_6{\times}A_2, closure ledger, Plausibility balance) are converted to inline run-in paragraphs, the Glue theorem is re-typed as a winbox (a result, not a claim), and the explanatory plausible/follows next winboxes become prose. The loud boxes now carry only genuinely load-bearing callouts (one keybox, five winboxes, one gapbox) plus the two shared orientation cards.
• Document-count consistency. The introduction's document map gained the missing tfpt_5_redteam row; “seven/eight companion documents” and the ledger “six documents” wording are corrected to the true count (nine active documents); README.md (“10 ok”, 140 scripts) and the workflow rule (“9 docs”) are reconciled.

Details

• Box reduction (B1). The 26 non-load-bearing aside boxes (audit / recorded / interpretation: auditbox/audbox/intbox/resbox/roadbox) across tfpt_1, tfpt_2, tfpt_3 and origin_theory are converted to inline bold run-in paragraphs — the reviewer's prescription that an audit fingerprint must not carry the same visual volume as a theorem. The loud box families are now only keybox (claim), winbox (result) and gapbox (open/caveat).

Details

• Shared figure library tfpt_figures.tex (\input by tfpt_style): reusable TikZ macros for the architecture claim stack (\TFPTclaimstack[zone], B3), the anchor cockpit a=(1,1,2) (B4), the E_8 glue diagram (B5), the 2/3 motif map (B6) and the K_5 action lattice (B7). The claim stack and a marker badge bar are now shown near the front of every document, each highlighting that document's layer; the topical figures are placed in their natural homes (cockpit + K_5 in the introduction, cockpit + glue in tfpt_1, motif in the horizon note).
• Marker typology (A2). tfpt_style adds the sharper sub-types [E](exact algebra), [E](exact number), [C](readout / standard physics in TFPT units) to the existing [C](bridge) and [X](kill test); the marker key and the new \TFPTbadges bar show the full typology. (Inline body markers retain [E]where they are genuine exact identities.)

Details

• Claim hygiene (review section A). The introduction's one-sentence claim is softened from “derives all constants” to “constructs a discrete compiler; physical readouts run through named, status-typed bridges”; the ledger zombie in FLAV.QRATIO.01 is removed (the statement no longer says “stays [P]” — ratios are [E]closed on the derived stratum, only the absolute scale stays [O], with an explicit forbidden-wording note); the seam misalignment is written explicitly as \varepsilon=\tfrac34\phiz=\cthree+36\cthree^4 (leading \cthree, fourth-order puncture correction exact); \theta_{12} has a single prediction of record 0.306747 with the seam/non-linear values typed as scheme diagnostics; JUNO's first 59.1-day result (0.3092\pm0.0087, compatible, precision pending) is recorded and NuFIT 6.0 is marked the pre-JUNO baseline; the ACT DR6 birefringence hint carries a systematics caveat (not a validation target); CODATA-2022 is dated; the null-model figure is moved out of the main text and typed as a grammar-internal bound. “Complete solutions of the five open questions” becomes “Closure status of the five former open questions”.
• Interface language unified (review sections A5/C2/C3/C6/C7/C8). The live residual is stated everywhere as v_{\mathrm{geo}}\oplus G_{\mathrm{net}}\oplus F_{\mathrm{transfer}} (historical U_{\mathrm{wall}}/G_{\mathrm{metric}}/F_{\mathrm{frontier}} kept only for ledger continuity); tfpt_research_contracts is retitled and its recommended order rewritten (selector-triangle pairings \to v_{\mathrm{geo}}\to G_{\mathrm{net}}); F_{\mathrm{transfer}} is named as one missing functor with Koide/\eta_B/axion/m_p/m_e as its four instances; full QG closure is framed as a certification layer, not a prerequisite. Document numbering aligned with file names (the Red Team paper is now in the canonical set; document N\equiv tfpt_N). Website mirrored throughout (papers.ts, predictions.ts, faq.ts, glossary.ts, OpenGates, Hero, orientation components).

Details

• Shared style and central status artifact. Two new single-source fragments: tfpt_style.tex (the canonical palette, status markers, marker key, \veri reference, the four tcolorbox families with back-compat aliases, and one running header/footer) is now \input by all eight documents — the per-paper duplicated preambles are gone; and tfpt_status.tex (“TFPT status at a glance”) gives one canonical overall-status card imported near the front of every document, replacing the divergent per-paper status statements. Both registered in build.sh and the manifest TEX list.

Details

• Margin theorem (v122). The established frozen selectors (D_4 annihilator n=(5,-9,6), \det R=8, \det K=4) pin R uniquely among hexagon matrices (64\to12\to1); the atom margins become theorems — H2 introduces no new residual class.
• Inventory update (v123). Residual table re-pinned post v110–v122: exactly five structural classes (R1 clock, R2 index-4 net, R3 EH step, R4' selector establishment — replacing the discharged H2 dictionary — and R5 Q realisation); R2 carries three loads (metric + carrier + QBL: one theorem, three doors).
• Resummed clock + glue Q-system (v124/v125). R1's bend in closed form: \mathrm{rate}(n)=-p_2\ln(1-n/N_{\mathrm{fam}}) (pole at N_{\mathrm{fam}} forces the three-level spectrum); the index-4 \mu_4 extension exists explicitly as a Longo Q-system on \mathbb C[\mathbb Z_4] (all Frobenius axioms exact) — R2 sharpens from “find” to “identify”.
• Clock–wall bridge (v126) and ring resummation (v127). The resummed-clock weights are the Mehta–Seshadri parabolic weights (\operatorname{spec}A_0^\star); \det(\mathbf 1-A_0^\star)=\tfrac29 = the entropy curvature; the clock is a log-determinant (RPA rings, one tower per hexagon site, coupling = parabolic weight).
• Graded hull (v128). E_8 is a \mathbb Z_4-graded Lie algebra over the carrier (grading = glue Q-system; exact on all 6720 root-pair sums); ring multiplicity 6 = sheet-doubled Ginsparg–Perry zero modes. Notation fix in the same round: the clock factor 6 is p_2(a), not 2p_2 — labels corrected across modules, ledger, papers, website (numbers unchanged).
• Entropy power law \to zeta budget (v129–v133). The clock is \Gamma_n\propto(S_n/S_{dS})^{p_2} (Gibbons–Hawking form); p_2=2h with h=N_{\mathrm{fam}} from mode counting + the Born rule (v130); the zero-mode norm is the area, \|Y_{1m}\|^2=A/(4\pi) exactly (v131); the det-ratio anomaly is the Koide constant, \zeta(0)|_{\det'}=-\tfrac23 (v132); both \zeta(0) budget routes computed exactly — the reduced seam route carries pure anchor ratios (-\tfrac43 = minus the seed gain), the naive 4d route (-\tfrac{109}{45}) carries no atom (v133).
• Dual anchor + determinant surface (v134/v135). d:=a^\top R^{-1}=a^\top L^{-1}=(-\tfrac12,-\tfrac12,1) with (1,1,-2)=-2d — the inverse flavor response is the Nariai root, invariance exact via Sherman–Morrison (third algebraic flavor–horizon bridge leg); \det M(s,t)=3s(t{+}1)(t{+}2)+t^2+5t+8 with iso-volume walls at the \mathbb Z_2/\mu_4 atoms, winding line (8,14,20), \det F=32, row-budget axes with \mathrm{rowsum}(V)=\operatorname{Spec}(Q_+); micro-identities 41=16+25, 52=16+36.
• Dual-normal selector, Q_+ cohomology, Volkov–Wipf firewall (v136–v138). (d,n) pins R columnwise (each column the unique lattice point of the address box; kernel (6,8,7)); the A_0^\star zero mode carries the spectral normal \sigma=(2,-9,5) with a W(A_3) orbit control excluding the naive lift; H^1(\mathbb P^1\setminus\mu_4)=\chi_1\oplus\chi_2\oplus\chi_3 with degrees (1,2,3)=\operatorname{Spec}(Q_+)= the A_3 exponents and cusp weights =\operatorname{spec}A_0^\star; the external full-4d graviton/ghost value -\tfrac{98}{45} is pinned (arXiv:2506.02142 = Volkov–Wipf hep-th/0003081) and its edge part is exactly two copies of the reduced seam budget — R1 typed closed as an edge-sector object.
• Selector triangle + canonical map (v139/v140). d=\tfrac32a-2\cdot\mathbf 1 is pure anchor data (first selector derived); the frame (\mathbf 1,a,\sigma) has volume 11 and n is the unique covector with atom pairings (2,8,121) — the R4' residue is three pairings; the H^1\to generation equivariant map exists and is Schur-rigid (only sign-twisted \mu_4 actions match), so the GATE.QGEO residue collapses to one \mathbb Z_3 choice.
• Editorial and consistency passes. Content-currency sweep (superseded “single remaining input” claims retired across contracts, paper 3, intro, website); introduction: self-explanatory title (spells out Topological Fixed-Point Theory), the old-version comparison removed throughout, redundant diagrams dropped, the unreadable status heatmap removed, the script-index master table converted to a page-breaking xltabular (it had silently truncated \sim110 rows), status card extended with the v134–v140 reductions, predictions table completed (CP phase, cosmic birefringence); the canonical document-set box extracted into the shared tfpt_docset.tex; paper 1 cleaned of all 35 old-series references, every section now opens with its machine-check script references; smaller box fonts across all eight documents; this changelog.tex introduced as a dual-mode (standalone + imported) document.