Publication history: July 2026
Original publication entries retain their wording and recorded status. Follow the current research history for later findings and revisions.
Recorded days in July 2026
85 publication entries across 14 recorded days. Open a day to read its complete original entries and formulas.
6 publication entries
- the interacting RP route of the alignment bit, executed: EXT-SOURCE COUPLING SEPARATES THE 81-TWINS DIRECTIONALLY IN THE UNIT BOX (v584 promoted) — exact rational flip thresholds with the v572 pencil factors as numerator…
- the continuous half of the cross-ratio check executed and closed: UNIFLOW-DEGENERATE (v575 promoted) — the native exports are forced degenerate by the single-flow theorem, so the continuous half closes onto v425; both ha…
- closing the round: the winding form's content located exactly (v574 \to11 checks — without it a four-column family survives, exactly one uniform: the compiler), and the half-sided RP restrictions shown blind (v572 \to11…
- two decisive deepenings: the anchor-Hamiltonian Gibbs pencil delivers the first DYNAMICAL distinction of the reconstruction bit (v572 \to9 checks: the compiler twin is Gibbs-critical at s^*=(8-4\sqrt{19})/15, the alterna…
- the residual reconstruction bit located and given a canonical witness: the ladder self-consistency selects the compiler Q uniquely (SELECTOR-FOUND); the split geometry excluded; Priority 2 sharpened + v568 promoted + led…
- the No-Carrier-Reconstruction audit, Stage A: the anchor self-code is carrier-free, and Q reconstructs up to ONE binary sheet-coupling choice (RECONSTRUCTS-TO-FAMILY) + v567 promoted + ledger/paper/diary/website sync
1 publication entry
1 publication entry
10 publication entries
- v530–v533 — the external review round promoted: center quotient compiler, Coxeter Stage A tensor clock, dual-degree modular checksum 744, sheet-transfer disc -7 norm line; every identity machine-confirmed exactly before…
- website entry redesign: narrative home, honesty band, proof strip, guided-tour route — editorial only, NO new modules, NO marker moves
- prominence pass — the v519–v529 breakthroughs lifted into the FRAME texts of the papers and the website data layer; purely editorial, NO new modules, NO marker moves — (1) tfpt_5_redteam gains the seam round Target G: th…
- v529 — the interacting Fidkowski–Kitaev seam toy promoted as the ledger row SEAM.INT.FKTOY.01: the FIRST firing Kill-Test-2 shadow — triple verdict F1 = KILL / F2 = KILL / F3 = ERFOLG; the celestial/twistor story in tfpt…
- v528 — the alignment bit as an exact measurable TWIST-CLASS choice promoted as the ledger row SEAM.BIT.TWISTCLASS.01: the physical definition — verdict SUCCESS; the celestial/twistor story in tfpt_3 gains Step 29 — (1) F…
- v527 — the silver clock eigenvalue EXPLAINED and DEMYSTIFIED, promoted as the ledger row SEAM.CLOCK.SILVER.01: double verdict STRUCTURE = SUCCESS / CONNECTION = KILL (anti-numerology style); the celestial/twistor story i…
- v526 — the thermal seam promoted as the ledger row SEAM.THERMAL.KMS.01: KMS of the reconstructed free OS quotient CLOSED onto the Nariai/BH temperature chain — the THIRD LEG of c_3; verdict SUCCESS; the celestial/twistor…
- v525 — the twist-state attack on the alignment bit DECIDED and promoted as the ledger row SEAM.BIT.TWISTBLIND.01: “mark-decorated states do not see \delta” — an honest, decided NEGATIVE result (v508 style), the NINTH sid…
- v524 — the WOIT-\beta_2 milestone of the OS twistor bridge WOIT.OS.TWISTOR.01 executed and promoted as the ledger row WOIT.BETA2.OS.01: “the OS quotient of the free system made explicit” — verdict SUCCESS per the frozen…
- v523 — the constructive w_m derivation executed and promoted as the ledger row CELEST.WP5E.WM.01: “1/\det_j is the Atiyah–Bott / zeta-determinant fixed-point factor, COMPUTED from three independent sources” — verdict ERF…
13 publication entries
- HFQPO scorecard extension — the NICER/MAXI J1820+070 third-tooth null and the AstroSat/LAXPC block integrated as a new evidence-scorecard row (search target, never a claim): the preregistered single-QPO extension of the…
- v522 — the WOIT-\beta_1 milestone of the OS twistor bridge WOIT.OS.TWISTOR.01 executed and promoted as the ledger row WOIT.BETA1.GSO.01: “the clock is time-like, GSO is the gauge datum” — a TYPED result (verdict UNDECIDE…
- v521 — the RP/\Theta attack on the alignment bit DECIDED and promoted as the ledger row SEAM.BIT.RPBLIND.01: “free OS positivity does NOT see \delta” — an honest, decided NEGATIVE result in the v508 style (the celestial/…
- v520 — the WP5e BCOV measure question DECIDED at probe level and promoted as the ledger row CELEST.WP5E.MEASURE.01: “single-valuedness is derived, the completion reading wins” — the \delta_{1e}+\delta_{1f} consolidation…
- v519 — the WOIT-\alpha milestone of the OS twistor bridge WOIT.OS.TWISTOR.01 executed and promoted as the ledger row WOIT.THETA.FREE.01: “the real structure exists — and free reflection positivity picks the same family”;…
- v518 — the WP5e \delta_1 chain (\delta_{1b}+\delta_{1c}+\delta_{1d}) DECIDED and promoted as the ledger row CELEST.WP5E.DELTA1.01: “the derived chiral measure kills the \delta_1 route” — an honest, decided NEGATIVE resul…
- v517 — WP5e back-reaction milestone M3 “the a_0 uplift” executed (SUCCESS on the preregistered v514 S8.3 criterion), promoted as the ledger row CELEST.WP5E.M3.01: the (4,\pm4) GH multipole (= the a_0 direction) is uplift…
- v516 — WP5e back-reaction milestone M2 “the twisted Kodaira–Spencer measure” executed (SUCCESS on the preregistered v514 S8.2 criterion, ON THE DECLARED COMPLETION MEASURE — verdict B), promoted as the ledger row CELEST.…
- v515 — WP5e back-reaction milestone M1 “the A_3 \Omega_N” executed (SUCCESS on the preregistered v514 S8.1 criterion), promoted as the ledger row CELEST.WP5E.M1.01: the back-reacted holomorphic 3-form \Omega_N is CLOSED…
- external review integrated: route renamed, object diagram, group-extension definition, SEAM.EQUIV route split (MMST/TWISTOR ids, no status change), A_3 role table, WOIT.OS.TWISTOR.01 contract — a pure structure/text inte…
- v514 — WP5e-\varepsilon_1 “the O(-2) bulk-axion slot” executed (verdict B), promoted as the ledger row CELEST.WP5E.EPS1.01: the s=0 tower field of the celestial route is now a CONSTRUCTION, \tilde\lambda=6 is pinned thre…
- v513 — the c_d negative certificate, promoted as the ledger row CELEST.DTERM.NONDERIV.01 (anti-numerology certificate in the v508 style, honest rigid NEGATIVE result): can geometry derive c_d=1920? NO — the v511 [C]fence…
- (v512 — the flag-transitivity equivalence web promoted as SEAM.TAU.FLAG.01: the \tau=i attack executed on the free RP seam circle — BARE MARK-TRANSITIVITY IS FALSIFIED as a selector (on the test family M(\delta)=\{\pm1,\…
23 publication entries
- v511 — WP5e-\delta_2 of CELEST.SEAM.01 “the full-tensor ledger” promoted as CELEST.WP5E.DELTA2.01 (intermediate verdict, exact): the named escape route of the v508 exchange no-go executed on the FULL adjoint tensor struc…
- P2 consolidation — the axiomatics reduction state written as ONE coherent statement across the papers (editorial, NO new claims, NO marker moves): the compiler's dimensionless inputs reduce to four marks (derived from P1…
- v510 — the freedom attack on the v506/v507 alignment bit promoted as SEAM.BIT.FREEDOM.01: the POSITION half of the bit is TOPOLOGY — the collar deck is a covering deck (the \Z_2 seam of the Möbius double), and covering d…
- v509 — WP5e-\varepsilon_2 of CELEST.SEAM.01 “the CPS level-from-flux dial” promoted as CELEST.WP5E.EPS2.01, verdict B: the Costello–Paquette–Sharma Burns-holography mechanism (“level = flux quantum \times Dynkin index”)…
- e8-ladder-bed v2 — the 2DCS extension executed with an honest preregistered kill_2d verdict at the DETECTOR level: the known-answer map recovers 8/8 rungs incl. m_7/m_8 via F3 difference coordinates (MC p=2\times10^{-4})…
- v508 — WP5e-\gamma of CELEST.SEAM.01 “the sphere-axion pairing check” promoted as CELEST.WP5E.GAMMA.01, an honest rigid NEGATIVE result: the VERTEX-SPACE THEOREM — the W(D_5){\times}W(A_3)-invariant quadratics on the 8-d…
- v507 — the tautology attack on the v506 alignment bit, executed and refuted, promoted as SEAM.BIT.ORIGIN.01: the ORIGIN THEOREM — marks = fixed points of the hyperelliptic involution = the 4 half-periods \Lambda/2\Lambda…
- v506 — seam clock rigidity, Route B of the v503 classification, promoted as SEAM.CLOCK.RIGIDITY.01: TWO exact theorems reduce the order-4 clock input to ONE alignment bit — Theorem A (Möbius): the deck z\mapsto-z has EXA…
- v505 — WP5e-\beta of CELEST.SEAM.01 “the equivariant anomaly ledger on twistor space” promoted as CELEST.WP5E.BETA.01: the Atiyah–Bott/Lefschetz fixed-point skeleton of the one-loop twistor inflow is EXACT — denominators…
- v504 — WP5d-\beta of CELEST.SEAM.01 “split + strong additivity from the lattice” promoted as CELEST.WP5DB.01: the two remaining KLM legs of complete rationality witnessed for the orbifold prescription — strong additivity…
- v503 — the v215 deferred emergence test (lever 7) executed light and promoted as QGEO.EMERGE.LIGHT.01: NO dynamical selection of the square modulus — the free field's global \det{}' winner is the hexagonal torus, \tau{=}…
- v502 — WP5e-\alpha of CELEST.SEAM.01 “prefactor and level bookkeeping” promoted as CELEST.WP5E.ALPHA.01: the q^{-1/3} prefactor of E_4/\eta^8 IS exact \mu_4 vacuum-energy bookkeeping (the clock is inner \Rightarrow shift…
- v501 — WP5d-\alpha of CELEST.SEAM.01 “the two-interval index from the lattice” promoted as CELEST.WP5D.01: the KLM Haag-duality discriminator measured entropically on the seam edge — the 16-layer carrier saturates the \l…
- v500 — WP5c of CELEST.SEAM.01 “the GNS limit state” promoted as CELEST.WP5C.01: the quasi-free family \omega_w exists, is positive, stabilises exactly at the WP5a threshold, and its limit carries the null ideal in its GN…
- v499 — the P2 weight-typing postulate HARDENED: the anchor a=(1,1,2) typed as the Birkhoff–Grothendieck splitting exponents of the Deligne canonical extension, so integrality/positivity/sum-4 become theorems given the [E…
- Editorial: dedicated celestial-route section in Paper 3 + website mirror — the scattered celestial sentences consolidated into one coherent six-step section; no new scripts, no status changes, no marker moves, SEAM.EQUIV…
- CELEST.SEAM.01 WP5b executed and promoted: v498 — “the singular vector as an operator”, the deleting object of the v497 null ideal constructed explicitly and machine-verified singular; contract now WP1–WP4 + WP5a + WP5b…
- CELEST.SEAM.01 WP5a executed and promoted: v497 — “the null ideal from the limit”, the v496 boundary-limit shadow made a precise coefficientwise limit and the level-2 null ideal derived from root data; contract WP5 subdi…
- comb-meta-limit re-run with the PG.06b FULL Vela recovery ingested — the stale single-obs PG.06b reference (noise-peak F_0=11.19275 Hz) corrected in the channel definitions; the new X-ray channel enters censored (no abso…
- Wolfram engine reactivated — the deferred second-path mirrors VERIFIED: base 116/116 + extension 394/394 (378\to394, the 16 mirrors accumulated since 2026-07-14 now counted); GATE.WOLFRAM.01/02 and all counter surfaces s…
- CELEST.SEAM.01 WP3 + WP4 executed and promoted: v495 Green–Schwarz alignment (verdict B, honestly non-selective) + v496 character-vs-S-algebra type mismatch (verdict B(ii), boundary-limit shadow); contract now WP1–WP4 do…
- PG.06b FULL: the complete NICER Vela archive reduced — the first X-ray \nu(t) leg of the recovery-comb search, verdict data_limited; the old PG.06b “pipeline proven” fold corrected on record; experiments level only — no…
- the two 2026-07-20 prediction-of-record rows promoted to the suite: v494 — \alpha_s running + \mu-distortion branch discriminator machine-checked, ledger rows COSMO.RUNNING.01/COSMO.MUDIST.01, prediction surfaces synced;…
8 publication entries
- E8 mass-ladder blind-recovery bed EXECUTED: verdict validated at the detector level — the Cartan–PF ladder pipeline blindly recovers the published Zamolodchikov-E8 spectra of BaCo_2V_2O_8 (8/8) and CoNb_2O_6 (6/8 in-wind…
- v493 — WP2 of CELEST.SEAM.01 executed: the clock-invariant deformation XY{=}Z^4{+}a_0 is a PURE SCALE with the \tau{=}i pillowcase frozen, the \mu_4 clock IS the Picard–Lefschetz/Coxeter monodromy of the seam deformation…
- HFQPO “third tooth”: the preregistered archival RXTE PCA scan has RUN — a well-powered null with limits; scorecard row S1.e data_limited\tonull, no marker moves
- v492 + the new research contract CELEST.SEAM.01 — the celestial-holographic route: the E_8 \mu_4-glue is the flat \Z_4 monodromy of the equivariant celestial chiral algebra on the A_3 ALE space, with the exact correction…
- evidence scorecard: five new typed rows — the \alpha_s running prediction of record, the \mu-distortion A_s/N_\star branch discriminator, and three parked analog beds (bosonic-E8 thermal Hall, E8 mass-ladder recovery, Ef…
- v491 — \gcar{=}5 as the partition COROLLARY of the four marks: 4 into exactly 3 positive parts is uniquely \{1,1,2\}, sharpening v53; the residual is the weight-typing postulate — AX.P2.01 stays a declared axiom; no gate…
- v490 — the T^2 spin-structure parity census: \mu_{\mathrm{pre}}{=}4 witnessed on the lattice, the 16-fold-way bridge \theta_v{=}1 on measured numbers, and the honest TEE non-discriminator fence; no gate closes, no marker…
- v489 — the chiral central charge c_-{=}8 measured DIRECTLY from the bulk ground state via the Kim–Shehab–Kim modular commutator: the first ground-state witness for premise (i) of SEAM.EQUIV.01, independent of the Chern r…
1 publication entry
3 publication entries
- v488 — the 3/5 Clebsch door ENUMERATED AND CLOSED: no minimal Pati–Salam/SO(10) Majorana channel can produce 5/3 — the v482 escape is decided dead, the v481 window candidate stands as the honest endpoint; a clean negativ…
- v487 — the lazy split FORCED by the resummed clock: the walk's one-step spectrum is the complete v124 clock ladder below the wall, deck parity = rung index, and the two comb tones are one bend apart — the v486 [O]“split…
- v486 — generator hunt: the FULL transfer spectrum \{1,(2/3)^6,(1/3)^6\} from ONE forced local rule — the unique lazy \Z_2-pair walk (\mathrm{stay},\mathrm{hop},\mathrm{leak})=(\tfrac12,\tfrac16,\tfrac13); the previously…
5 publication entries
- v485 — the merged analytic target's computable side COMPLETED: the diagonal self-energy is renormalised to ZERO exactly at the KMS seam scale, the mark contact calculus resums in closed form (BFK route), and the 48/41 mu…
- v484 — the two open analytic targets MERGE: the shared “\cthree per boundary insertion” rule of ALPHA.QUILLEN.EXACT.01 and HYP.PHI0.PUNCTURE.01 is the KMS seam unit 2\pi=1/(4\cthree) with \tfrac14=1/|\mu_4|, derived on t…
- v482–v483 — the deep-dive round: the \nu-scale decision computation EXECUTED (the integer \cthree^3-rung excluded unstructured, the 5/3-proximate structure escape recorded and declined) and the \phiz puncture target HALV…
- website + figure refresh — the /verification journey views become live HTML (the stale timeline/residual-chain images replaced by interactive components wired to the in-browser reproducer), the prediction surface's empir…
- v479–v481 — the bird's-eye “overlooked tools” round: R3's graph\togeometry bridge discharged to Kronheimer 1989; the four \mu_4 marks realised as the exactly solvable four-interval multilocal modular geometry with \omega…
6 publication entries
- v478 — first computable steps on the two remaining legs of the entropic-action bridge: the state-side modular data flows to the CHM/Bisognano–Wichmann geometric form (Calabrese–Cardy c_{\mathrm{est}}{\to}1, CHM parabola,…
- v477 — the scale-flow representation of the entropic action: the surviving R^2 route typed as one moment condition \mu_2/\mu_1^2=\tfrac{72}{17}(8\pi)^9 with the exact closure \tfrac{4608\pi^2/17}{(72/17)(8\pi)^9}=\cthree…
- v476 — the AP2 compression conjecture of the entropic-action bridge made well-posed on an exactly solvable model: the literal operator-side reading is ill-posed on a pure bulk, the state-side reading is forced, the misma…
- v475 — the R^2 kill test of the entropic-action bridge, executed: exact tensorial factors on the maximally symmetric background, raw entropic scalaron m^2=\tfrac{4608\pi^2}{17}\Mbar^2 (\approx51.7\,\Mbar, trans-Planckian…
- v474 — the operator level of the entropic-action bridge: the D_5 Clifford/spinor structure exhibited on the carrier Fock space, the Hodge fold identified as the 5{\to}\bar5 conjugation, and the v473 Q-target decided — su…
- v473 — the entropic-action bridge: Bianconi's Gravity from entropy (Phys. Rev. D 111, 066001 (2025); arXiv:2408.14391) quantified as an external candidate for the missing action level of the parameter-free Einstein equat…
2 publication entries
- surfacing round — three already-computed unique readouts promoted to the public prediction surfaces: the axion–photon coefficient g_{a\gamma\gamma}=-4\cthree, the free-seam Higgs band m_H\approx129–134 GeV, and the never…
- v472 — the determinant line over the U(1)-twist moduli of the collar model carries curvature = the inflow level: the v470 bridge lemma exhibited at the finite/model level; ALPHA.QUILLEN.EXACT.01 stays [O]. Plus: bird's-e…
4 publication entries
- v471 — the Seam–Horizon replica chain exercised numerically on the discretized collar: the kernel-identification premise of SEAM.THEOREM.01 discharged at the finite/model level; residual retypes to the continuum MMST leg…
- v295 robustness patch — external-review follow-up: the numeric a_2-kernel tolerance must dominate its own finite-difference floor
- v469/v470 — the closure-route round on the two named targets: the SEAM.EQUIV.01 extension leg re-founded on 1995–2001 peer-reviewed crossed-product theorems + the realisation axiom reduced to invariant level; the \alpha^…
- v467/v468 — two named post-hoc [O]flavor candidates, record unchanged: the three {\sim}2\sigma mixing tensions as one third-generation -\varphi_0 pattern, and the splitting ratio \Delta m^2_{21}/\Delta m^2_{31}=|J_{\math…
2 publication entries
- v466 — a sixth seed channel from a new measurement sector: the charged-lepton mass ratio m_e/m_\mu{=}\tfrac{12}{7}\varphi_0^2 back-solves the same axiom seed to -0.11\%, extending the empirical over-determination to five…
- v465 — the cross-sector one-parameter seed test: a CMB birefringence angle and a quark Cabibbo angle point to the same seed within 0.01\sigma, the \theta_{13}-independent externally-runnable slice of v306