Open questions

Open questions

Auto-synced 2026-06-05 UTC. 145 active, 3 archived. Newest first.

Source: Docs/status/OPEN-QUESTIONS.md (raw). Each active item also exists as an open GitHub Issue with prefix [Q-...]. Archived items have their issues closed.

Active

ID	Pillar	Tier	Summary
Q-2026-06-04-Versioning-Generator-Awareness	—	—	generate_website.py version grouping + verify check for superseded-version citations
Q-2026-06-04-Math424-AddA-PathA-Residual-Gates	P4	T5	Path A residual closure gates: H4 exhaustiveness + G1 anisotropic-Bragg Hartree + G2 phase/amplitude-pattern scan + G3 full-PDE ensemble comparison
Q-2026-05-27-Infra-IntegrityAudit-Truncation	—	—	Codes/scripts/integrity_audit.py pre-existing truncation (no __main__ block; silently exits 0 with no output) — OPENED 2026-05-27 (Math420 cascade verification side-finding) — MEDIUM priority (infrastructure)
Q-2026-05-27-Math420-AddE-Pillar8-T7-Recursive-Closure	P8	T6	Pillar 8 T7 unconditional promotion path: recursive closure of CP-pair + Casimir + PV + Brazovskii methodologies to terminal textbook axioms — OPENED 2026-05-27 (Math420-AddC + AddD §7 follow-up) — **MEDIUM priority (paper-grade closure
Q-2026-05-27-Math420-AddD-AddA-Pillar8-Sector4-Q5-Numerical	—	—	Q5 numerical refinement for paper-grade precision (Sector 4 dynamical-background correction coefficient) — OPENED 2026-05-27 (Math420-AddD §4 contingent follow-up) — LOW priority (paper-grade refinement)
Q-2026-05-27-Math420-AddC-Pillar8-Sector3-RH-Reformulation	—	—	Sector 3 BCC Casimir: Reading-H-native reformulation — OPENED 2026-05-27 (Math420-AddB §7 follow-up) — RESOLVED 2026-05-27 (Math420-AddC same-day parallel dispatch)
Q-2026-05-27-Math420-AddD-Pillar8-Sector4-RH-IR-Verification	—	—	Sector 4 Dirac PV: Reading-H Dirac operator IR bound-state verification — OPENED 2026-05-27 (Math420-AddB §7 follow-up) — RESOLVED 2026-05-27 (Math420-AddD same-day parallel dispatch)
Q-2026-05-27-Math420-AddB-Pillar8-ReadingH-Compat	P8	T6	Reading H compatibility verification for 4-sector $\Lambda$-cancellation arguments (Math58 cascade) — OPENED 2026-05-27 (Math420-AddA §5 follow-up) — RESOLVED 2026-05-27 (Math420-AddB same-day closure)
Q-2026-05-27-Math420-AddB-Pillar8-ReadingH-Compat-SUPERSEDED	P8	T3	Reading H compatibility verification (HIGH priority queue entry, superseded by RESOLVED entry above) — superseded marker
Q-2026-05-27-Math420-AddA-Pillar8-Attribution-Cleanup	P8	T6	Pillar 8 bookkeeping cleanup: Math58-cascade content audit + reattribution + Math147 dual-attribution resolution — OPENED 2026-05-27 (Math420 §6 HIGH-priority follow-up) — RESOLVED 2026-05-27 (Math420-AddA same-day closure)
Q-2026-05-27-Math420-AddA-Pillar8-Attribution-Cleanup-SUPERSEDED	P8	T7	Pillar 8 bookkeeping cleanup: Math58-cascade content audit + reattribution + Math147 dual-attribution resolution — SUPERSEDED 2026-05-27 by Math420-AddA closure (see above) — superseded entry marker; see resolution above
Q-2026-05-26-Math409-AddH-AddA-AddA-AddA-Exact-RG-Definitive	P11	T1	Exact-RG Wetterich definitive test of TECT-Brazovskii running-G (B2 closure / refutation) — OPENED 2026-05-26 (Math409-AddH-AddA-AddA §8 INTERIM NEGATIVE follow-up)
Q-2026-05-26-Math409-AddH-AddA-AddA-TECT-RunningG-Calculation	P11	T2	Does TECT-Brazovskii natively support asymptotic-safe Newton constant with $G_{\rm eff}(k_* \sim 0.4,M_{\rm Pl})/G_{\rm obs} < 1/26$? — PARTIAL CLOSE 2026-05-26 (1-loop INTERIM NEGATIVE; exact-RG follow-up queued)
Q-2026-05-26-Math409-AddH-AddA-AddA-TECT-RunningG-Calculation	P11	T2	Does TECT-Brazovskii natively support asymptotic-safe Newton constant with $G_{\rm eff}(k_* \sim 0.4,M_{\rm Pl})/G_{\rm obs} < 1/26$? — OPENED 2026-05-26 (Math409-AddH-AddA §6 Path B2 identification)
Q-2026-05-26-Math409-AddH-AddA-AddB-Wheeler-Geon-Brazovskii	—	—	Hopf-class Wheeler geon configuration in Brazovskii medium (secondary rescue) — OPENED 2026-05-26 (Math409-AddH-AddA §5 Path B1 marker)
Q-2026-05-26-Math409-AddH-AddA-Compactness-Corrected-Stability	P11	T2	Compactness-corrected stability theorem for super-Planck topological textures in TECT-Brazovskii regime — PARTIAL CLOSE 2026-05-26 by Math409-AddH-AddA: 5-sub-path investigation; A1/A2/A3 FAIL, B1 stalled, B2 IDENTIFIED
Q-2026-05-26-Math409-AddH-AddA-Compactness-Corrected-Stability	P11	T3	Compactness-corrected stability theorem for super-Planck topological textures in TECT-Brazovskii regime — OPENED 2026-05-26 [SCOPE-REVISED 2026-05-26 post-audit-rollback]
Q-2026-05-26-Math409-AddH-AddA-QG-Framework	P11	T2	Wheeler-DeWitt-class rigorous quantum-gravity stability theorem for super-Planck topological solitons in the Brazovskii regime? — **OPENED 2026-05-26 (Math409-AddH §3 OPEN GAP α) — [SUPERSEDED by Q-...-Compactness-Corrected-Stability above
Q-2026-05-26-Math409-AddH-AddB-Texture-CMB	P11	T3	Hopf-instanton CMB temperature anisotropy spectrum vs Planck 2018 constraints? — OPENED 2026-05-26 (Math409-AddH §6 self-meta-objection 3)
Q-2026-05-26-Math409-AddH-Hawking-Stability	P11	T3	Are TECT M_tex ~ M_Pl primordial textures stable against Hawking-class evaporation in the Brazovskii regime? — CLOSED 2026-05-26 by Math409-AddH: PASS at T3 PROOF SKETCH level
Q-2026-05-26-Math409-AddH-Hawking-Stability	P11	T2	Are TECT M_tex ~ M_Pl primordial textures stable against Hawking-class evaporation in the Brazovskii regime? — OPENED 2026-05-26 (Math409-AddD-AddD §6 critical dependency)
Q-2026-05-15-Texture-DM-Alternative	P11	T1	Are within-bubble textures (from $\pi_3 = \mathbb{Z}$) a viable Pillar 11.A alternative to walls? — CLOSED PROVISIONAL 2026-05-26 by Math409-AddD-AddD: T1 -> T2 PROVISIONAL pending Math409-AddH
Q-2026-05-15-Texture-DM-Alternative	P11	T2	Are within-bubble textures (from $\pi_3 = \mathbb{Z}$) a viable Pillar 11.A alternative to walls? — OPENED 2026-05-15 (Math409-AddD-AddC §9 follow-up)
Q-2026-05-15-Wall-DM-Bias-Mechanism	P11	T3	Can a TECT-natural bias mechanism allow walls to escape the wall-DM CMB constraint while saturating $\Omega_{\rm DM}$? — CLOSED 2026-05-15 by Math409-AddD-AddC: REFUTED at factor 10^60
Q-2026-05-15-Wall-DM-Bias-Mechanism	P11	T3	Can a TECT-natural bias mechanism allow walls to escape the wall-DM CMB constraint while saturating $\Omega_{\rm DM}$? — OPENED 2026-05-15 (Math409-AddD §8 objection 2)
Q-2026-05-15-KZ-Applicability-Under-Reading-H	—	—	Does the BCC order-disorder transition admit a non-equilibrium quench, or is Reading H reached adiabatically? — CLOSED 2026-05-15 by Math409-AddD: Brazovskii weak first-order; KZ applies in bubble-nucleation form
Q-2026-05-15-KZ-Applicability-Under-Reading-H	P11	—	Does the BCC order-disorder transition admit a non-equilibrium quench, or is Reading H reached adiabatically? — OPENED 2026-05-15 (Math407-AddA binding decision 2; HIGHEST PRIORITY for Pillar 11)
Q-2026-05-15-Pillar-11-Hawking-Stability	P11	T6	What is the stable mass scale that admits both KZ-mechanism formation AND $\sim$Hubble-time stability? — OPENED 2026-05-15 (Math407-AddA binding decision 3)
Q-2026-05-14-Task156-Falsification-Gate-Fire	P4	T4	Execute F-GAP4-DEFECT-MASS numerical test (Pillar 4 sub-task 2 closure gate) — OPENED 2026-05-01 TURN 59 (Math288 §5 critical-path dependencies)
Q-2026-05-11-Math400-AddE-AddA-Two-Loop-CrossCheck	P4	T6	Two-loop Brazovskii self-consistency at TECT canonical params for Reading H fortification — OPENED 2026-05-11 (Math400-AddE Path α confirmation)
Q-2026-05-11-Math402-Kibble-Zurek-Dilution	P11	T2	Pillar 11 DM density excess from Kibble-Zurek frozen defects of Brazovskii fluctuation regime requires dilution mechanism — OPENED 2026-05-11 (Math400-AddC §6 Kibble-Zurek estimate)
Q-2026-05-09-Supplementary-Hamiltonian-Audit	—	—	Audit all Codes/supplementary/Math*.py for canonical-vs-toy Brazovskii free-energy consistency — OPENED 2026-05-09 (Math373 §6 devil's-advocate β VALID-with-mitigation)
Q-2026-05-02-Pillar11-Lambda-Numerical-Repair	P11	—	Paper-11 internal numerical-vs-gate inconsistency resolution — OPENED 2026-05-02 (Math314-AddD Paper-11 [INTERNAL_INCONSISTENCY_REPAIRED] flag)
Q-2026-05-02-Paper16-PTA-Band-Repair	—	—	Paper-16 Ω_GW peak frequency re-derivation from first principles — OPENED 2026-05-02 (Math314-AddD Paper-16 [EXTERNAL_USE_FORBIDDEN] flag)
Q-2026-05-02-Paper12-Stage2-Successor-Draft	P6	T3	Paper-12 successor draft using current canonical GAP-1/2/3/4 + verdict-shell bookkeeping — OPENED 2026-05-02 (Math314-AddD Paper-12 [EXTERNAL_USE_FORBIDDEN] flag)
Q-2026-05-02-Pillar5-Mechanism-Rewrite	P5	—	Paper-05 (Pillar 5 chirality) full theorem-level rewrite within Callias / domain-wall framework — OPENED 2026-05-02 (Math314-AddC Paper-05 [REWRITE_REQUIRED] flag)
Q-2026-05-02-Pillar7-Three-Generation-Rewrite	P7	T7	Paper-07 (Pillar 7 quantum) full theorem-level rewrite (or honest demotion to mechanism note) — OPENED 2026-05-02 (Math314-AddC Paper-07 [EXTERNAL_USE_FORBIDDEN][REWRITE_REQUIRED] flag)
Q-2026-05-02-Math171-AddA-Rank-Dependence	—	—	Retroactive patch of Math171-AddA HRR-formula note to record rank-dependent form — OPENED 2026-05-02 (Math314-AddB Objection α VALID-with-mitigation follow-up)
Q-2026-05-02-Math195-TDGL-Reversibility-Patch	—	—	Retroactive patch of Math195 to remove time-reversibility invocation — OPENED 2026-05-02 (Math314-AddB Objection β UPHELD follow-up)
Q-2026-05-02-Wave7-Independent-Audit	P6	—	Independent external peer review of all 14 Wave-6/7 paper drafts before next public snapshot — OPENED 2026-05-02 (Math314-AddA Objection γ UPHELD follow-up)
Q-2026-05-01-Math288-Proposition-4-3-1-Rigorous-Proof	—	T0	Rigorous Hodge-theoretic derivation of Proposition 4.3.1 (Bogomolov-type eigenvalue bound for bundle Laplacian) — OPENED 2026-05-01 TURN 59 (Math288 §7 objection α mitigation)
Q-2026-05-01-Math270-Sigma0-Moduli-Closure	P4	T6	Secondary audit of simultaneous moduli closure on $\Sigma_0$ (Task #156(g), 20-turn defence programme cross-base coherence mitigation) — OPENED 2026-05-01 TURN 41 (Math270)
Q-2026-04-30-Math260-Route-A-H6-Tier-Qualification	P4	T4	Verify H6 (ℏ matching functional) tier qualification for Route A composite T6 claim (Tasks #156a.3b, #147/#148 RGE closure) — PARTIALLY DISCHARGED 2026-04-30 TURN 31 (Math260 H5 closure), H6 deferred 2026-05-14
Q-2026-04-30-Math259-Next10TurnProgramme	P4	T4	10-turn programme (Turns 31–40) parallel research execution (Pillar 4 Route A critical path + Pillar 6 EW-bridge numerical) — OPENED 2026-04-30 TURN 30 (Math259 dispatch recommendation)
Q-2026-04-30-Math249-20Turn-Programme-Consolidation	P6	T4	20-turn autonomous research synthesis (Turns 5–20) — COMPLETED 2026-04-30 TURN 20
Q-2026-04-30-Math237-Cross-turn-audit-closure	P6	T6	Cross-turn second-order audit of Math234/235/236 (Turn 8, CLAUDE.md §6.3.2 binding) — COMPLETED 2026-04-30 TURN 8
Q-2026-04-30-Math238-Monopole-Density-Formula	P4	T3	Explicit formula for monopole-like density $\Phi_{\mathrm{mon}}$ in BCC modes (Task #151, Pillar 4 sub-task 3 complementary closure) — PARTIALLY DISCHARGED 2026-04-30 TURN 10 (Math239), residual = Task #154
Q-2026-04-30-Math238-Berry-Phase-Degeneracy	—	—	Verify Berry-phase degeneracy $v_2 \sim v_1$ for RHN Higgs (Task #152, Pillar 4 sub-task 3 gap β) — OPEN (LOW PRIORITY, post-Turn-9)
Q-2026-04-30-Math238-Cubic-Sublattice-Energy	P4	—	Derive intermediate SU(5) breaking scale $v_3$ from cubic-sublattice energy difference REINTERPRETED & DISCHARGED 2026-04-30 TURN 13 (Math242)
Q-2026-04-30-Math257-Continuum-Limit-Dependency	P6	T6	Verify continuum limit validity (Math250 product structure) for Route A H7 hypothesis (Task #156a.3a, #156a.3b numerical verification) — OPENED 2026-04-30 TURN 28 (Math257), due 2026-05-14
Q-2026-04-30-Math250-Route-A-H-Gaps	P4	T3	Verification of three hypothesis-set items for Route A T6 closure (Tasks #156a.2–#156a.4, Turn 23 target) — UPDATED 2026-04-30 TURN 24 (H-GAP-1.a CLOSED)
Q-2026-04-30-Math246-Pillar4-Recovery-Routes-A-D	P4	T4	Recovery of Pillar 4 sub-task 2 via alternative 4D Kähler bases and flat U(1)$_\chi$ structures (Task #156, Turn 17 discharge) — OPENED 2026-04-30 TURN 17 (Math246)
Q-2026-04-30-Pillar4-Alternative-Realisations	P4	—	Task #156: Alternative geometric realisations for Pillar 4 sub-task 2 (16 chiral zero modes) — OPENED 2026-04-30 TURN 16 (Math245 audit-rollback)
Q-2026-04-29-Math229-Higgs-mechanism-closure	P6	T4	Derive Higgs scalar potential from TECT + compute electroweak-breaking scale (Task #170, Pillar 6 completion) — REOPENED PARTIAL 2026-04-29 Turn 4 (canonical)
Q-2026-04-29-Math231-EW-scale-bridge	—	T2	Math231 salvage: derive Z_H from first principles + close v_EW and m_H to SM values (Task #172, NEW — highest priority)
Q-2026-04-29-IndependentReviewer-Pass	—	T6	Independent-reviewer pass on Math230 + Math231 + Math232 audit chain (Task #171) — CLOSED 2026-04-29 Turn 4
Q-2026-04-29-Math234-OPEN-GAP	P8	—	α — Compute wave-function renormalization $Z_H$ via one-loop fermion loops (Task #147) — OPEN (HIGH PRIORITY), sub-task of Task #172 salvage pathway
Q-2026-04-29-Math234-OPEN-GAP	P6	T2	β — Extract physical wave-function amplitude $f_{\rm phys}$ from continuum limit and RG running (Task #115) — ANALYTICAL PRE-FLIGHT COMPLETE 2026-04-30 (Math236, Turn 7), operator-driven execution queued
Q-2026-04-29-Math234-OPEN-GAP	P8	T6	γ — Incorporate fermion-bilinear mixing and composite-Higgs resummation (Task #127) — OPEN (MEDIUM PRIORITY, post-Pillar-8), gates full SM Higgs identification
Q-2026-04-29-Math221-AddC-Lemma-A-explicit-nontriviality	P4	—	Prove explicit U(1)_χ × SU(5) nontrivial action on BCC shell modes for Lemma A (Task #168)
Q-2026-04-27-Math181-Rigorous-C1-Computation	P4	—	Compute c_1(U(1)_χ) on Math162 CP² base by direct curvature integration
Q-2026-04-27-Math162-SU5-Instanton-Status	P4	—	Establish c_2(E_SU(5)) on Math162 bundle
Q-2026-04-27-Pillar4-U1chi-topology	P4	—	Determine whether the BCC condensate's emergent U(1)_χ holonomy is flat (Scenario B, ind=16 RESCUED) or non-trivial (Scenario A, ind=56 FALSIFIED)
Q-2026-04-27-Math176-tangent-bundle-sanity	—	—	Verify Math176 BWB sanity-check value χ(T CP²)=8 against textbook χ(T CP^n)=n+1=3
Q-2026-04-27-Math181-Rigorous-C1-Computation	P4	—	Compute the first Chern class $c_1(\mathrm{U}(1)_\chi)$ of the Math162 bundle via explicit curvature integral on the $\mathbb{CP}^2$ base
Q-2026-04-27-Math162-SU5-Instanton-Status	P4	—	Determine whether the SU(5) part of the Math162 bundle carries zero instanton number or non-zero $c_2(\mathrm{SU}(5))$
Q-2026-04-27-Alternative-Scenario-B-Proof	P4	—	If explicit c₁ computation on Math162 yields non-trivial U(1)_χ holonomy, explore alternative base manifolds (K3, Hirzebruch, del Pezzo) for Scenario B rescue
Q-2026-04-27-Math172-defect-mass-evolution	P4	—	Compute defect-mass evolution from GUT to BBN scales using SO(10) coupling constants
Q-2026-04-27-Math172-BCC-defect-topology	P4	—	Classify BCC defect topology (disclinations vs. dislocations) and compute network GW spectrum for each topological class
Q-2026-04-26-Math160-Berry-phase-non-triviality	P4	—	Establish that the BRST Faddeev–Popov Berry-phase prefactor is non-trivial on physically relevant TECT configurations
Q-2026-04-26-GAP4-Kibble-Zurek-defect-spectrum	—	—	Quantitative defect-density and post-condensation matter-power spectrum predictions on the rescoped Kibble–Zurek branch
Q-2026-04-26-Math166-rigorous-AS-index	P4	—	Re-derive the twisted-Dirac Atiyah-Singer index on the Math162 BCC defect bundle from first principles
Q-2026-04-26-Math162-3-patch-cover	P4	—	Extend the BCC fibre-bundle construction to a three-patch cover with full Čech-cocycle verification
Q-2026-04-26-Math163-scale-clarification	P10	—	Clarify the energy scale of the GAP-1 boson-loop ratio R_boson/fermion ≈ 0.12
Q-2026-04-26-Math164-Higher-form-Berry-topology	P4	—	Identify a genuine TECT-specific topological signature on the BRST FP determinant beyond the trivial Berry phase
Q-2026-04-26-Pillar4-SO10-emergence	P4	—	Establish SO(10) (or equivalent anomaly-free unifying group) emergence from BCC condensate with chiral fermions in $\mathbf{16}$
Q-2026-04-26-GAP1-third-route	P10	—	Independent matter-side derivation of $\hbar_{\rm Fock}$ disjoint from elastic-modulus identification
Q-2026-04-26-GAP4-ns-failure	—	—	Resolve the $n_s = 0.913$ vs $0.9649 \pm 0.0042$ discrepancy ($\geq 5\sigma$ tension)
Q-2026-04-26-GAP2-BRST-TECT-specific	P4	—	TECT-specific Faddeev–Popov determinant for BCC-emergent gauge orbits
Q-2026-04-25-Math98-AddA-cosmology-coupling	P10	—	Derive quench rate from early-universe Friedmann equations
Q-2026-04-25-Math98-AddB-BdG-verification	P10	—	Rigorous Bogoliubov–de Gennes analysis of BCC shell modes
Q-2026-04-25-Math98-AddC-rigorous-Chern-number	P10	—	Exact Chern-number computation on BCC Brillouin-zone shell
Q-2026-04-25-Math98-AddE-pre-transition-quantisation	P10	—	Rigorous quantisation of pre-transition fluid state
Q-2026-04-25-Math98-AddE-precise-coefficient-C	P10	—	Exact Onsager-Machlup coefficient C from Bogoliubov analysis
Q-2026-04-25-Math98-falsification-design	P10	—	Design experimental/observational test of phase-transition origin of $\hbar$
Q-2026-04-25-S2A-full-55-pairs	—	—	Complete Stage-2-A meta-consistency via all 55 pillar pairs — [OPEN 2026-04-25, raised by Math60-Stage2-A-AddA devil's-advocate objection γ]
Q-2026-04-24-Solver-115-lanczos-probe	—	—	Replace 5-probe Rayleigh classifier with Lanczos mini-spectrum probe — [OPEN 2026-04-24, queued by Math82-G2 audit]
Q-2026-04-24-Solver-116-vacuum-floor-guard	—	—	Add vacuum-floor convergence guard to Newton trust-region — [OPEN 2026-04-24, queued by Math82-G2 audit]
Q-2026-04-24-P1-117-coldstart-scan	P1	—	Math82-I cold-start scan to test Regime III branch-existence — [OPEN 2026-04-24, queued by Math82-G2 audit]
Q-2026-04-24-P1-12mode-bcc-ground-state	P1	—	Full 12-mode BCC ground-state continuation curve — [OPEN 2026-04-24, queued by Math82-Addendum-G Phase Z 7-point bifurcation result]
Q-2026-04-24-P11-symmetry-broken-seed	P11	—	Symmetry-broken BCC seed for Math55 deep-endpoint convergence — [OPEN 2026-04-24, paired with Math82-Addendum-D PARTIAL Phase Z verdict]
Q-2026-04-24-P11-sector-decomposition-verification	P11	—	Four-sector $\Lambda_{\mathrm{cosmo}}$ cancellation numerical verification — [OPEN 2026-04-24, queued from Math58-v7-Addendum-A adversarial audit Q5 (UNVERIFIED)]
Q-2026-04-24-P6-Q6b-PS-two-step	P6	—	Pati-Salam two-step RGE with TECT BCC-defect $\beta$-function content — [OPEN 2026-04-24, paired with Math77-Q6b-Addendum-A FALSIFICATION of pure-SM-1-loop baseline]
Q-2026-04-24-P6-Q6d-metastability	P6	—	Does the Brazovskii operating point $(\lambda, \gamma) = (-0.43, 1.62)$ yield the true TECT ground state, or is it metastable? Impact on $Y_{\rm SO(10)}^{\rm TECT}$ prediction. — [OPEN 2026-04-24, flagged by Math80-Addendum-D-AddA Devil's-A
Q-2026-04-24-P6-Q6a-equivariance	P6	—	BCC defect-bundle equivariance with the $\mathrm{SO}(10)$-vector representation — [RESOLVED-THEOREM 2026-04-24 — paired with Math80-Addendum-A and Math80-Addendum-B]
Q-2026-04-24-P10-R5-residual-matching	P10	—	Universal completion-scale extraction via residual matching between exact classical TECT and observed physics — [RESOLVED-NEGATIVE 2026-04-24, R5 first-iteration FAILS pre-registered failure criterion]
Q-2026-04-21-S2A	P1	—	Math60-A meta-consistency of the 11-pillar hypothesis lists on a single background model $\mathcal{M}_0$ — [OPEN 2026-04-21]
Q-2026-04-21-S2B	—	—	Math60-B parameter compression $n_{\mathrm{free}}\le 1$ from axiom A0 — [OPEN 2026-04-21]
Q-2026-04-21-S2C	P10	—	Math60-C quantization closure (measure or algebraic-QFT) — [OPEN 2026-04-21]
Q-2026-04-21-S2D	P6	—	Math60-D phenomenology closure / observable map $\Phi$ in SI units — [OPEN 2026-04-21]
Q-2026-04-21-S2E	P8	—	Math60-E falsifiability package ($
Q-2026-04-21-S3	—	—	Stage-3 phenomenological TOE qualification ledger — [OPEN 2026-04-21]
Q-2026-04-21-CG-ZeroT	P11	—	Zero-temperature rigorous limit of the 3-dimensional monopole Coulomb-gas free energy
Q-2026-04-21-CALLIAS	P11	—	Callias-type index for vortex/BCC pairing in the TECT condensate
Q-2026-04-21-YUKAWA-TECT	P5	—	TECT-native fermion-mass mechanism in place of Yukawa-to-BCC
Q-2026-04-20-X5	—	—	$\phi_0$-convention discrepancy between Math37-AddA §A.3 and Math56-Addendum §F
Q-2026-04-20-X6	—	—	[OPEN 2026-04-20] Quantify the Phase-0 cushion $\delta$ from measured RMS fluctuation
Q-2026-04-20-X7	—	—	[OPEN 2026-04-20] First-principles derivation of the Class-II abort factor $\kappa$
Q-2026-04-20-Q-HESS-JUMP	P1	—	Projected-Lanczos eigenvalue exhibits a $\times 17$ jump between $N=32$ and $N=64$ in the Newton-Krylov Phase-2 pipeline
Q-2026-04-20-Q-HESS-JUMP-ORIGINAL-TEXT	P1	—	(archival, retained for audit trail)
Q-2026-04-20-Q-GM-TRIPLET	—	—	Does the $(\mathbf{1},\mathbf{3})_{+1}$ weak-triplet isotype realise a physical Higgs-triplet in the TECT IR spectrum?
Q-2026-04-20-XX	—	—	Yukawa mass hierarchy and flavor-diagonal lepton/quark masses
Q-2026-04-20-YY	—	—	Numerical verification of Lorentz-violation SME coefficients from converged BCC condensate
Q-2026-04-20-ZZ-A	P6	—	Rigorous index-theoretic proof of $\dim(H_L) = 3$ on $\text{Gr}(2,5)/G_{\text{SM}}$ [RESOLVED NEGATIVE 2026-04-20 → FALSIFIED-ANSATZ; SEE Q-2026-04-20-R3]
Q-2026-04-20-ZZ-B	—	—	Rigorous triangle-anomaly proof with full 15-Weyl enumeration [CLOSED 2026-04-20 → Math49b-rigorous-v2]
Q-2026-04-20-ZZ-C	—	—	Lemma: BCC disclination topological charge $\equiv$ generator of $\pi_1(\text{SO}(3)/G_{\text{pt}})$ [CLOSED 2026-04-20 → Math49c-rigorous-v2]
Q-2026-04-20-ZZ-D	—	—	Dynamical proof that $m_I = m_G$ from the BCC defect–geodesic limit [CLOSED 2026-04-20 → Math_EP-rigorous-v2 scalar + Dirac]
Q-2026-04-20-ZZ-E	—	—	Rigorous Wilsonian RG bound for BCC cubic anisotropy with 1-loop $\eta$ [PARTIAL 2026-04-20 → Math_IR_Bound-rigorous-v2, OUTLINE]
Q-2026-04-20-R1	—	—	Schur-functor irreducible subbundle refinement of the three-generation index (Pillar 6, refinement R1)
Q-2026-04-20-R3	—	—	$\mathbb{Z}_6$-equivariant Lefschetz-index refinement of the three-generation count (Pillar 6, refinement R3) [CLOSED 2026-04-20 — PROVED@GEOMETRIC; see archive]
Q-2026-04-20-R4	—	—	Partial flag $\mathrm{Fl}(2,3;5)$ alternative index route (Pillar 6, refinement R4)
Q-2026-04-20-v3-IR	P2	—	Full Callan–Symanzik RG at Brazovskii FP with numerical BZ integrals for $\eta^{(c)}$
Q-2026-04-20-YK	—	—	Three-family universality of hypercharge assignments and the Yukawa mass hierarchy
Q-2026-04-15-01	—	—	Step C numerical convergence to $m^{*2}_{\mathrm{num,corr}} \to 9.0 \pm \delta$
Q-2026-04-15-02	—	—	Gate 1–4 coefficient certificate (Project IV)
Q-2026-04-15-03	—	—	Flavor Gram matrix $G_{IJ}$ positive-definiteness (Project V)
Q-2026-04-15-04	—	—	First-principles derivation of the locked triple $(\mu^{2},\lambda,\gamma)$ from RG flow [PARTIAL 2026-04-15 → Math40]
Q-2026-04-15-05	—	—	Continuum limit of the spectral BCC Laplacian
Q-2026-04-15-06	—	—	Microscopic origin of the Class-II mediator mass $M_X$ [CLOSED 2026-04-16 → Math43]
Q-2026-04-15-06-LEGACY	—	—	Microscopic origin of the Class-II mediator mass $M_X$ [PARTIAL 2026-04-15 → Math42, OPEN — superseded by Math43]
Q-2026-04-15-07	—	—	First-principles determination of the Class-II coupling $\alpha_X$ [CLOSED 2026-04-16 → Math43]
Q-2026-04-15-07-LEGACY	—	—	First-principles determination of the Class-II coupling $\alpha_X$ [PARTIAL 2026-04-15 → Math42, OPEN — superseded by Math43]
Q-2026-04-15-08	—	—	Math04 Conjecture A: fixed-size $N=12$ optimality
Q-2026-04-15-09	—	—	Math04 Conjecture B: Bravais first-shell optimality (non-cubic)
Q-2026-04-15-10	—	—	Math06 Lorentz-emergence rigor (partial claim)
Q-2026-04-15-11	—	—	Math24 $Z_{\mathrm{pol}}^{(T)}$ transverse loop weight
Q-2026-04-15-12	—	T1	Math26 C2 (gravity) unconditional derivation [CLOSED 2026-04-16 → Math45, pending Math46 finite audit]
Q-2026-04-15-12-LEGACY	—	—	Math26 C2 unconditional derivation [PARTIAL 2026-04-15 → Math41, OPEN — superseded by Math45]
Q-2026-04-15-13	—	—	Math26 C3 (gauge) unconditional derivation [CLOSED 2026-04-16 → Math44, pending Math46 extractor audit]
Q-2026-04-15-13-LEGACY	—	—	Math26 C3 unconditional derivation [PARTIAL 2026-04-15 → Math41, OPEN — superseded by Math44]
Q-2026-04-15-14	—	—	Math29 CKM convergence theorem
Q-2026-04-15-15	—	—	Math25 precision-level CKM fit including CP
Q-2026-04-15-16	—	—	Math17 longitudinal primitive odd singlet $\theta'^{3}\sigma_{3}$
Q-2026-04-15-17	—	—	Math35 $(m_{\parallel} u_{\parallel})_{\mathrm{corr}}$ numerical value
Q-2026-04-15-18	—	—	$q_{0}$ / $k_{\min}$ / $

Archive (recently resolved)

Last 30 entries; full archive in source file. Each entry's issue is closed on GitHub.

ID	Resolution	Pillar	Summary
Q-2026-04-26-Math157-RHN-singlet-documentation	RESOLVED 2026-04-27	—	Document the right-handed neutrino N singlet in the Math157 SO(10) anomaly cancellation explicitly
Q-2026-04-21-IV-shell-adaptive	RESOLVED 2026-04-21 late	P8	Shell-adaptive interval-arithmetic certificate for $c_4(\epsilon)>0$
Q-2026-04-20-PR1	RESOLVED 2026-04-21 later	P6	Replacement bundle for Pillar 6 after Math49d-R3-v2 physical retraction