# Frontier exhaustion checkpoint v1 **Date:** 25 October 2026 **Status:** explicit gate enumeration exhausted across the complete corpus Markdown/JSON scope; physics programme remains open **Queue authority:** [53-topic register](open_topics_register_v1.json) **Durable completion authority:** [corpus completion exit criteria](corpus_completion_exit_criteria_v1.md). The checkpoint below establishes current-input search and ownership exhaustion only; it does not establish full physics–mathematics saturation. ## What is now complete The corpus has a closed navigation loop from target to frontier area to detector bundle to open topic to next action, closure condition and kill test. The audit covers: - all 22 canonical physics targets and all 20 frontier areas; - 38 detector bundles, including records, controls, maturity and source provenance; - the maintained admissibility sequence through AZ-147, including the observer/horizon, nuclear and focused public-data decision programmes; - every discovered Wave 6--7 packet file in the regenerated gate audit, with reused display numbers held under distinct audit identities; - every remaining programme Markdown or JSON file containing the declared open-gate vocabulary: 69 files, of which 48 map to physics topics and 21 retain separate programme governance; - the complete source corpus-and-evidence backstop: all 3,264 in-scope Markdown/JSON artifacts hashed and inventoried, including 1,575 numbered claims and 960 evidence artifacts; 1,909 gate-bearing or open-status files are reconciled, 1,176 claims contain declared gates, the other 399 claims are explicitly recorded without one, and zero owners remain unresolved; - 53 independently closable topics: 14 active, 8 open, 3 audit, 18 gated, 2 blocked and 8 closed with retained evidence. No scanned gate is orphaned. The [full-corpus census](full_corpus_gate_census_v1.md) distinguishes old closure language, live semantic ownership, navigation surfaces and separately governed inquiries rather than equating every occurrence of “open” with a new target. “Exhausted” here means the declared corpus search and ownership problem is exhausted, not that nature, unstated tacit questions, the literature, or every possible experiment is exhausted. AZ-056 adds a second coordinate to this result. AZ-052 charts horizontal motion inside a representation; AZ-056 charts vertical descent between representations. Exact descent is now equivalent to invariance of the coarse kernel, and multi-scale defects obey an exact composition identity. This closes the abstract calculus but leaves source-native physical arrows under their existing topic owners rather than inventing a duplicate frontier. AZ-057 closes OT-001 for the declared three-mechanism selector family and integrates OT-002--OT-005 in one generative simulator. Reversal tomography separates geometric holonomy from even splitting/loss effects, and process singular values finish the separation. The same run proves that an independently declared (Y), complete measurement record and matched-contraction thermodynamic ledgers are algebraically compatible. Their remaining gates are physical: carrier calibration, source-native (Y), record efficiency and measured heat/work/activity. AZ-058 closes a documentation ambiguity around the same-film Casimir bridge. The published 0.2--1.5 THz complex Hall window maps to characteristic separations near 119--16 micrometres. A 0.1--1 micrometre force experiment instead samples roughly 24--239 THz or 0.099--0.987 eV. Broadband longitudinal data do not replace the missing same-specimen off-diagonal tensor. OT-006 therefore remains active with a precise spectroscopy target; OT-007 is gated until that tensor exists and its predicted differential exceeds the force-systematics covariance. AZ-050 likewise moves OT-008 behind a declared external-scale compute requirement rather than pretending the present dictionary matvec is executable production code. AZ-059 closes OT-010's hardware-design ambiguity. A 100 MHz four-resonator star with 2 MHz couplings and 0.1 MHz linewidth has a frozen exact/weak/resolved/reversal schedule, measured-unit calibration limits and a packet-specific five-stage complexity card. The symmetric hub record has rank two; resolved centred detuning releases rank four; weak-breaking memory is quadratic; and a physical port exchange reverses the oriented contrast cubic. All 5,000 frozen tolerance draws pass the gap, hub-visibility and Krylov-conditioning thresholds. OT-010 remains active only for construction and blinded execution. AZ-060 closes OT-033's provenance ambiguity without pretending to close its census. The two source images name `RequestProject/Ogg/DeclFold.lean`, `DeclFoldReflect.lean`, `DeclFoldCerts.lean`, `fold/decls.json`, `fold_certify` and the worked `HeckeFold.card_address` certificate. None is present across the 49 public branch tips and 134 public gists audited on 25 October. OT-033 is therefore gated, not generically open: its next datum is the named source/data bundle plus the pinned Lean/Lake environment and declaration-selection policy. The reported 1,979 declarations, 908 addresses, 789 unclamped folds and 13 certificates remain unreproduced; the synthetic adaptive-depth theorem is not promoted into their substitute. AZ-061 advances OT-037 from an unspecified device request to an active, finite engineering fork. The strict two-percent adiabatic budget requires coupling-length product at least 207.7968; an illustrative 20 per millimetre, 12 mm coupled-mode design passes the adiabatic, accumulated splitting, accumulated loss, dark-retention, nonunitarity and reversal tests when the unmeasured residual ratios are each assumed to be (10^{-4}). That witness is not fabrication admission. Its exact latitude uses signed couplings, its reversal sign exists only against an external phase reference, and a passive selector would spend the same splitting/loss budget used to certify neutral transport. The next decision is therefore one full-wave fabrication-native route with an explicit reference port and separate Y stage. AZ-062 resolves OT-012's first fork. The reported YIG photon--magnon--phonon system is an irreducible three-mode chain; with both couplings nonzero its Jacobi matrix has simple eigenvalues and only one dark direction. Treating the driven polariton--phonon pair as a near-doublet does not rescue the route: the three reported coupling cases exceed the AZ-027 relative-splitting budget by factors 1.92, 3.38 and 16.12, while the weakest pair is unresolved from its reported linewidth. The three-mode protected-doublet branch is closed. OT-012 becomes active on the structurally correct four-mode tripod: one central mode, three independently controlled outer partners and a two-dimensional dark kernel, still requiring a new auxiliary mode and measured loop/tomography closure. AZ-063 corrects the type of OT-009's selector experiment. A fixed lossless pressure-transfer block preserves projective distance; a fixed passive block attracts only through unequal singular values, so passive loop-plus-selector convergence is ordinary loss/gain filtering rather than an independent selection mechanism. The exact map with slope one third is instead a replacement channel on density or covariance records. It is buildable by indexed stochastic routing between the returned field and an independently calibrated Y preparation, but only the ensemble contracts. A single-trajectory version requires declared feedback or a nonlinear reservoir and a work/noise/reset ledger. OT-009 remains active on that corrected detector protocol; its passive nonloss interpretation is closed. AZ-064 sharpens OT-011's thermal-Hall detector equivalence. Controlled disorder cannot separate magnon-polaron Berry curvature from the named many-body skew mechanism because that collision mechanism is itself intrinsic and disorder-free; linewidth is likewise a shared constraint rather than a unique label. The packet replaces that non-minimal reading with two same-specimen coordinates: a low-temperature activation order using an independently measured gap, and a nuisance-corrected Hall-feature tracking ratio under a phonon-moving intervention. Ideal hybrid-band and collision endpoints occupy approximately (1,1) and (2,0) in those coordinates. OT-011 is now active on source-native data and a joint mixture fit rather than open-ended channel collection. AZ-065 resolves OT-013's simulation-level ambiguity. In a canonical two-mode loop the spectral discriminant winds once, so quasistatic analytic continuation exchanges eigenstate sheets in either orientation. Direct evolution of the same loop does something else: at fast rate it retains input memory, while slow clockwise and counterclockwise runs erase both initial states into opposite endpoints above 0.9998 population. Spectral topology and dynamic selection are therefore distinct observables. OT-013 is active on a measured-carrier protocol pairing complex left/right spectral tomography with both inputs, both orientations, a rate ladder, unnormalized gain/loss and an EP-excluding matched control. AZ-066 fires OT-018's kill test on its most natural finite response candidate. Three normalized two-port blocks can be pairwise positive while their joint three-port matrix is not: for equal real correlation the global range tightens from (-1,1) to (-1/2,1), and at magnitude 3/5 a gauge-invariant loop phase must satisfy cos(Phi) at least 5/27. The inequality is exact, basis-independent and saturating, but it is precisely the determinant member of the standard positive-semidefinite principal-minor criterion. OT-018 remains open and may no longer claim novelty by comparing a global condition only with incomplete pairwise positivity; its next candidates must act across frequency, shared dilations, detector contexts or uniform limits after the complete conventional envelope is imposed. [AZ-097](../admissibility/admissibility_97_hydrodynamic_pole_residue_response_ledger.md) assembles the previously separate OT-016 pieces into one effective response. The tensor channel is local at first derivative order, the shear channel has a diffusive pole, the sound channel has a retarded conjugate pair, every residue is nonzero, the two-port spectral matrix is positive, and common-temperature KMS multiplication preserves rank. Invertible port congruence and real analytic contacts cannot manufacture the rank. The remaining exact gates are an explicit source-functional hydrodynamic-frame transformation and microscopic or measured matching under OT-008. [AZ-098](../admissibility/admissibility_98_gaussian_hydrodynamic_source_frame_invariance.md) closes the first of those frame tests at quadratic order. Shear and sound are internal fields in one source functional; a nontrivial invertible mixing, with kernel and source coupling transformed together, leaves the complete source Hessian identical at four complex frequencies to better than \(10^{-14}\). Its poles and residues are therefore invariant. This rules out Gaussian coordinate naming as the source of the extra channel, while leaving derivative-dependent Ward-complete frames and microscopic matching open. [AZ-099](../admissibility/admissibility_99_three_scale_passive_diffusion_pushforward.md) closes OT-019's declared construction on a source-native passive carrier. Six thermal or RC cells descend through fixed physical averages from six records to three and then two without a fitted basis. Positivity and the constant mode survive three held-out component substitutions; direct and composed one-step pushforwards agree; and the quotient defect controls five-step semigroup error. The decisive refinement is scale dependence: one asymmetry creates memory at the intermediate detector and loses it again at the coarse detector, while a stronger asymmetry remains memory-bearing at both. Fabrication and covariance-aware validation remain useful engineering work, but they are no longer prerequisites for the stated mathematical construction. [AZ-100](../admissibility/admissibility_100_local_derivative_hydrodynamic_frame_invariance.md) removes the next Gaussian coordinate loophole in OT-016. A triangular unimodular field redefinition contains both a time derivative and a spatial Laplacian, has a finite polynomial inverse, and acts with the correct opposite momentum on the two legs of the bilinear source action. Transforming both couplings and the internal kernel leaves the complete source response equal across five frequency samples to within (7.11\times10^{-15}). Physical poles, residues, the spectral matrix and its common-temperature KMS image therefore survive. This is not the still-missing doubled nonlinear Schwinger–Keldysh action, Ward/improvement/contact classification or microscopic matching. [AZ-101](../admissibility/admissibility_101_gaussian_schwinger_keldysh_kms_completion.md) closes the doubled Gaussian part of that boundary without claiming the nonlinear theorem. The same local derivative frame is embedded in a four-by-four Schwinger–Keldysh kernel for shear diffusion and attenuated sound. Retarded/advanced reality and fluctuation–dissipation hold to numerical precision, the transformed noise remains positive with minimum sampled eigenvalue 0.404, and the complete doubled source covariance is invariant to (6.28\times10^{-14}). OT-016 now begins at nonlinear dynamical KMS, stress Ward identities, entropy/causality/stability control, improvement and contact classification, and microscopic or measured matching. [AZ-102](../admissibility/admissibility_102_nonlinear_stochastic_frame_and_noise_induced_drift.md) turns the first nonlinear ambiguity into a finite test. A unit-Jacobian map of two equilibrium variables makes their additive noise multiplicative. The correctly induced Itô drift restores zero equilibrium current to (4.97\times10^{-16}); pushing only the deterministic drift leaves a false current of magnitude 0.448 at every sampled point. The result is an exact finite-dimensional covariance audit, not the hydrodynamic theorem. It requires the eventual nonlinear SK calculation to transform field-dependent noise, response fields, measure terms and stochastic prescription together. [AZ-103](../admissibility/admissibility_103_causal_stable_hydrodynamic_relaxation_wedge.md) closes linear causal compatibility without pretending to derive the ultraviolet theory. The first-order diffusion and (k^2)-attenuated sound kernels are explicitly infrared and have no global finite front. Adding one relaxing shear flux and one relaxing viscous stress yields exact subluminal inequalities, a nonempty parameter wedge, stable sampled poles and low-momentum recovery. The selected point has front speeds 0.894 and 0.931. The physical relaxation spectrum, noise normalization and microscopic carrier remain new data, so OT-016 stays open. [AZ-104](../admissibility/admissibility_104_relaxation_auxiliary_gaussian_kms_completion.md) constructs positive stationary Gaussian fluctuations for those relaxation variables. Positive semidefinite noise acts only on the relaxing shear flux and viscous stress, while conservation transports it into the retained hydrodynamic variables. Positive covariances solve the Lyapunov fluctuation--dissipation identity and the declared time-reversal parities satisfy Onsager--Casimir reciprocity across all ten momenta below (9\times10^{-16}). This closes classical stationary Gaussian FDT compatibility, not exact quantum-frequency or nonlinear dynamical KMS. Stress Ward and contact structure, physical normalization and microscopic relaxation data remain open. [AZ-105](../admissibility/admissibility_105_fixed_index_defect_information_no_go.md) attacks OT-015 on the minimal chiral defect carrier. Six symmetry-preserving wall profiles retain one zero mode, signed index +1 and a gap above 0.541, yet the centre detector residue changes by a factor of 3.18 and localization changes with it. Raw phase moves under a unitary site gauge. Sublattice polarization survives, but is exactly the signed chiral index rather than new transported information. The minimal branch is closed; any reopening must add independently protected crystalline, projective, multichannel or non-Abelian data. [AZ-106](../admissibility/admissibility_106_reflection_resolved_defect_transport.md) supplies that independent structure and closes OT-015's finite existence question. Two defect carriers share the same hopping spectrum, one zero mode and signed chiral index +1 but carry opposite intrinsic mirror parity relative to a calibrated reference. Across six symmetric profiles the matching coherent port has unit weight and the opposite port is dark below (1.2\times10^{-16}); breaking reflection opens the forbidden port while leaving the index intact. The mirror datum is supplied crystalline representation data, not generated by the chiral index. Device realization and OT-046's D4 operator remain separate work. [AZ-107](../admissibility/admissibility_107_global_nonlinear_detector_injectivity.md) closes OT-034 for one compact nonlinear history family and demonstrates why the word “global” matters. A calibrated power detector has full local Fisher rank at every one of 34,782 audited points but remains exactly blind to the sign of the control coupling. Three pulse histories recover gain, coupling magnitude and signed memory coefficient while retaining the exact sign quotient. One coherent, phase-referenced amplitude record removes that quotient and makes the finite bundle injective. This is a declared-family theorem, not an unrestricted identifiability result or a physical-carrier measurement. [AZ-108](../admissibility/admissibility_108_d4_shared_action_operator_boundary.md) prevents the quotient-singularity lane from borrowing an operator by visual analogy. The D4 Cartan form, star Laplacian and coherent adjacency commute with the same three-cycle and share a two-dimensional fixed sector, yet have different kernels, spectra and descended operators. The quotient selects a subspace but not the law acting on it. OT-046 therefore remains gated on OT-027's source-native operator, now with an exact required datum: a spatial or geometric family, boundary conditions, quotient pushforward and regulator-stable localized index or pole. [AZ-109](../admissibility/admissibility_109_four_mode_sk_action_to_record.md) closes one side of OT-027 without confusing it with the whole translation. A single Gaussian doubled action now generates the four-mode bench's retarded operator, amplitudes, dissipation, positive noise and calibrated complex detector ports across 98 exact-fold and resolved-setting frequency cases. The incidence remains programmed into an engineered carrier. OT-027 therefore stays gated on OT-024's source-native hardware dictionary rather than on the absence of any coherent action-to-record example. [AZ-110](../admissibility/admissibility_110_relation_emulator_readiness_reconciliation.md) corrects OT-024's stale gate. The sixteen-mode network, twenty-four directed links, wall and seam controls, unimodular 9+14+1 detector schedule, leakage law, stability bound, equal-noise covariance and 33 withheld witnesses were already fixed and all four underlying verifiers still pass. OT-024 is therefore active laboratory work, not an unchosen design. Closure still requires measured covariance and blind out-of-sample wall testing; physics promotion remains separately barred. [AZ-111](../admissibility/admissibility_111_relation_quotient_jordan_face_and_positive_order_boundary.md) resolves the nearest algebraic ambiguity in OT-026. The relation quotient's reversible $M_2(\mathbb Q)$ block has a transpose-fixed $H_2(\mathbb Q)$ face whose symmetrized composition, determinant and rank are exact. The whole five-dimensional Jordanization is rank three and non-Euclidean, while the desired positive rank-two face appears only after discarding thirty radical dimensions and imposing real positive-semidefinite order. The gate is no longer “find any Jordan product”; it is “derive the order before seeing the answer and predict something held out.” [AZ-112](../admissibility/admissibility_112_the_jordan_face_involution_does_not_lift_through_path_memory.md) executes the first half of that gate negatively. None of the four aggregate generator transposes lies in the full 35-dimensional relation algebra, and no permutation of the four relation labels reverses more than two of the seventeen retained edges. Ordinary transpose is therefore a quotient-local enrichment, not a hidden full-graph symmetry. OT-026 now requires genuinely new source order or a nonlocal provenance-bearing anti-automorphism before any prediction test can begin. [AZ-124](../admissibility/admissibility_124_relation_face_compiler_from_adjacency_to_jordan_holonomy.md) decomposes the formerly overloaded graph arrow into a verified compiler: incidence creates positive edge rays, gluing creates Laplacian or signless-Laplacian order, Schur elimination creates a boundary face, and cycles create gauge-invariant holonomy. A two-node complex phase is removable; the first Abelian phase invariant requires a triangle. The determinant of the corresponding Hermitian Jordan face retains the cosine of the loop phase, so an odd orientation detector remains necessary for its sine. OT-026 and OT-027 may no longer treat adjacency, positive order, face selection, holonomy and dynamics as one object. [AZ-125](../admissibility/admissibility_125_claimipedia_support_native_order_and_semantic_boundary.md) executes that compiler on the live captured source. Counting-measure incidence gives a canonical positive kernel and an exact Spin--Temple two-port face, but it is invariant under reversing arrows and relabelling all four relation types. The two-port scale also changes when duplicate records are treated as repeated evidence rather than one relation. The closest source-native loop is the river dependency triangle; it becomes an experiment only after prerequisite-to-dependent maps, real measurements and a held-out closure record replace fixtures. This closes the claim that a positive kernel was wholly absent, while preserving the semantic and prediction gates. [AZ-126](../admissibility/admissibility_126_typed_two_rail_positive_lift_preserves_the_mirror_face.md) shows that positivity itself need not erase direction or type. The 304-dimensional node-by-rail-by-type carrier has a rank-41 positive Gram kernel whose source--target blocks recover all 41 distinct typed records. Rail swap is exactly equivariant with global arrow reversal, while collapse to the ordinary rank-33 Laplacian leaves an eight-direction quotient scar. The mirror squares to (+I), not (-I), and still supplies neither path composition nor a semantic adjoint. OT-026 is now sharply localized: compose this carrier with authored path memory, derive the star operation independently, and predict a withheld relation or observable. [AZ-113](../admissibility/admissibility_113_the_public_alp_ufo_is_a_two_control_slice_not_the_three_source_test.md) audits the nearest public implementation for OT-047/OT-048. The official linear ALP UFO exposes `CaPhi` and `CWtil`, but one `CaPhi` fixes the normalized top and bottom couplings to opposite signs. Its intervention map into \((c_t,c_b,c_{WW})\) has rank two: only nine of AZ-074's twenty-seven settings are reachable, and only three combinations of a general six-coefficient quadratic kernel survive. This is a public-model boundary, not a physics no-go. The next gate is a nonredundant gauge-invariant three-control export with anomaly shifts and Ward checks. [AZ-114](../admissibility/admissibility_114_more_detail_of_the_same_w_associated_process_cannot_open_the_sixth_coordinate.md) closes the proposed same-process shape escape at dimension five. The exact source map \((v_u,v_d,a_2,c_{WW})\mapsto(c_t,c_b,\widetilde c_{WW})=(-v_u,-v_d,c_{WW}-a_2/2)\) kills \((0,0,2,1)\) before phase space or detection. Every angular, energy, polarization and linearly folded detector Jacobian therefore kills it too, and every quadratic kernel pulls back with the same null direction. A three-control export remains necessary to execute AZ-074 and identify the three amplitude coordinates; it cannot by itself separate \(a_2\) from \(c_{WW}\). That sixth-coordinate gate now requires a genuinely current-sensitive record, a declared ultraviolet condition, higher-dimensional structure or a new state. [AZ-115](../admissibility/admissibility_115_the_full_gauge_dictionary_turns_the_sixth_coordinate_into_a_declared_slice.md) corrects that last instruction with the complete dimension-five gauge dictionary. The five current coordinates plus three direct gauge labels map to seven, not eight, physical coefficients and annihilate \((\Delta A_2,\Delta c_{WW},\Delta c_{BB})=(2,1,-1)\). If \(c_{BB}=0\) is declared, weak and hypercharge records have a nonzero two-by-two determinant and can separate \(A_2\) from \(c_{WW}\). If \(c_{BB}\) is free, no dimension-five detector can recover all three origin labels. The next detector is therefore a conditional weak-plus-neutral-gauge programme, while the general theory must be fitted in its seven basis-invariant coordinates. [AZ-116](../admissibility/admissibility_116_the_minimal_second_gauge_detector_needs_a_phase_reference.md) translates that programme into detector amplitudes. On the \(c_{BB}=0\) slice, the charged record \(R_W=c_{WW}-A_2/2\) and neutral record \(R_{\gamma\gamma}=c_{WW}\) invert exactly. Two ordinary event rates do not: squaring leaves two relative-sign branches after the common reversal is removed. The finite next gate is a source-complete charged/neutral likelihood with one coherent interference or phase-reference record, plus widths, lifetime, acceptance, resolution and correlated backgrounds. [AZ-117](../admissibility/admissibility_117_an_odd_resonance_moment_can_supply_the_missing_sign.md) supplies the missing signed statistic analytically. For a narrow diphoton resonance on a smooth real continuum, the paired-bin difference is \(4BSx/(x^2+\gamma^2)\): the even background and signal square cancel, while the sign of the resonant residue survives. The corresponding sign-weighted mass moment reverses under the source intervention. The gate has therefore moved from “find a phase reference” to a process-specific complex-helicity and detector calculation with sideband-constrained slope leakage, resolution, acceptance and the 27-setting covariance. [AZ-118](../admissibility/admissibility_118_detector_folding_preserves_the_design_but_not_a_clean_odd_record.md) executes the first detector transfer without pretending it is a forecast. Symmetric Gaussian smearing preserves odd/even parity and retains the interference sign while attenuating it; odd acceptance leaks even background and signal-square terms into the odd record. A fixed linear detector still maps an amplitude linear in three sources to a quadratic response, so the 19 template settings predict all eight held-out corners after folding. The 27 settings are generator evaluations, not reversible controls on collider data. The remaining gate is one source-complete physical helicity calculation, calibrated response and nuisance covariance, followed by a likelihood for the single observed coefficient point. [AZ-119](../admissibility/admissibility_119_the_field_closes_continuity_but_screening_needs_its_own_carrier.md) opens the conventional matter-plus-field route for OT-040 and immediately finds its boundary. On a finite Fourier packet, Poynting work cancels matter work, total finite-q continuity closes, potential gauge changes leave the fields and current unchanged, and bounded energy-density retyping changes the microscopic current by a total time derivative. Screening is the nontrivial part: in the minimal local scalar completion, a static mode of \(1/(q^2+\kappa^2)\) stores fractions \(q^2/(q^2+\kappa^2)\) in the electric gradient and \(\kappa^2/(q^2+\kappa^2)\) in the non-gradient screening sector. At \(q\ll\kappa\) the latter holds nearly all the energy. The next gate is therefore a matched physical realization of that sector in the projected Ewald model, not “add the Poynting vector.” [AZ-120](../admissibility/admissibility_120_a_unitary_acoustic_rail_replaces_the_hand_shaped_capture_bath.md) replaces the OT-036 hand-shaped bath by the acoustic modes of a harmonic rail and a local bond-strain interaction. The zero mode decouples, the remaining relative mode weights are derived, and complete unitary evolution transfers 0.99662 of the population before recurrence while closing norm, energy, phase reversal and Bose detailed balance. This fires neither the Markov-sink nor freely shaped-spectrum kill test. The absolute strain matrix element is still declared, however. The next gate is its calculation between AZ-055's normalized bound and energy-normalized scattering states, followed by rail-size and temperature convergence. [AZ-121](../admissibility/admissibility_121_the_capture_matrix_element_is_a_scattering_density_not_a_two_level_number.md) computes that graph factor and corrects the bridge. The lower AZ-055 pole is normalized across its cluster and lead tail; the incoming state is normalized per unit energy; and all eight bond-modulation overlaps are evaluated. At emitted energy 1.2 the contact-side bond is strongest, with magnitude 0.0214705, and the overlap varies strongly with incoming energy. This is a continuum amplitude density, not AZ-120's discrete two-level coefficient, so their numerical ratio has no direct physical meaning. OT-036 now requires a material-normalized incoming wavepacket, coherent multi-bond phonon phases and joint lead/rail convergence. [AZ-122](../admissibility/admissibility_122_a_normalized_packet_turns_the_overlap_density_into_a_capture_probability.md) performs that normalization rather than estimating it. A right-moving energy-space packet, all eight complex bond form factors and a finite acoustic rail evolve under one Hermitian Hamiltonian. For the declared common derivative benchmark (D=0.2), the 96-bin/240-site calculation gives capture probability (1.0892761\times10^{-3}), conditional phonon energy 1.2182162 and 0.258% change from the preceding joint refinement. Norm, energy and backward phase recovery close below (1.4\times10^{-9}). The finite source-native capture mechanism is now closed; OT-036 moves to gated because its remaining inputs—bond-resolved (dt/du), masses, springs, thermal state and multiphonon sector—belong to a named material or engineered device rather than the corpus. The [residual frontier exhaustion boundary](residual_frontier_exhaustion_boundary_v1.md) now classifies every maintained nonclosed topic. Nine of 55 topics are closed; the remaining 46 split into 20 physical experiment, public-data or calibrated-hardware gates, three compute-scale or unreleased-source gates, 18 missing-model/action/cross-grade construction gates, two blocked open problems and three continuing audits. Under the declared admission rule, no nonclosed topic remains as a finite corpus-ready calculation with all inputs present. This is exhaustion of the self-contained repository search, not exhaustion of the frontier: every live branch now names the external datum, public analysis or new construction required to reopen it. [AZ-095](../admissibility/admissibility_95_cross_frequency_shared_measure_bound.md) executes the first of those routes. A single positive relaxation spectrum forces a Loewner divided-difference kernel to be positive across frequency. The passive response `1/(s+1)+s/100` is positive and decreasing on the test interval yet violates every two-frequency kernel minor; typing and removing the ordinary inductive term restores the positive relaxation kernel exactly. The constraint is real and detector-useful, but it is standard Stieltjes–Loewner carrier theory. OT-018 therefore remains open at a sharper boundary: measured covariance first, then a premise not reducible to choosing a narrower conventional response class. [AZ-096](../admissibility/admissibility_96_population_storage_corrected_loewner_certificate.md) applies that distinction to the 54 fitted cell models. The complete high-frequency kernel fails 54/54; the relaxation kernel obtained by removing the already fitted series inductance passes 54/54, with positive minimum eigenvalue. This certifies the nonnegative model basis and shows that storage typing is classification-critical. It is not an independent source-data test: measured slopes, repeats and fixture covariance remain absent. AZ-067 completes the preliminary OT-047 source-and-scheme census permitted ahead of its OT-027 dependency. The apparent two-current calculation is three calculations: ultraviolet composite-operator closure and mixing; broken-phase spectral, threshold and contact matching; and finite-temperature KMS tensor/relaxation structure. Eight primary sources supply the architecture and 14 importable structural results, but not the nine programme-specific anomalous dimensions, contacts, thermal coefficients or ratios. The next honest action is the WP-A one-loop source subblock on the Dirac-neutrino branch; the Majorana branch, ALP cross-check and thermal response remain separately typed. AZ-068 then reconciles that census against the full corpus and finds that the scheme-insensitive part of WP-A was already solved in lane-expansion Results 33 and 35. The exact contact/EOM-insensitive quotient has five coordinates $(v_u,v_d,v_e,v_\nu;a_2)$ after gauged hypercharge is removed, with completed $B-L$ as its unique null current. Its leading Yukawa-channel metric is positive with four distinct eigenvalues, and neither incidence convention is an eigenray. Exact two-current closure is therefore killed. OT-047 now asks whether the energy-dependent five-channel response has a measured, threshold-stable rank-two window; only then may its $H_2(\mathbb R)_+$ slice be promoted to an operational carrier and extended thermally. AZ-069 computes the first such operational spectrum. The bottom-dominated 10--300 GeV diagnostic retains a second generalized mode at roughly seven to eleven percent, so it fails a one-broken-port reduction even at percent resolution. Above the top threshold the Yukawa-only second mode falls below one part in a thousand, but the independently normalized weak-anomaly cut raises the illustrative five-coordinate ratio to $1.217\times10^{-3}$. The high-energy branch is therefore rank one at one-percent resolution and rank two at one-per-mille resolution. This is a conditional reopening with a quantitative detector ceiling; running, broken-phase electroweak matching and held-out-energy stability remain the next gate. AZ-070 runs that complete leading five-coordinate benchmark from 400 GeV to 100 TeV. The second-to-first ratio stays between $1.315\times10^{-3}$ and $1.637\times10^{-3}$, while the leading-mode overlap with its 400 GeV orientation remains above $0.9999983$. The sampled interval therefore passes a one-percent one-broken-port gate and fails a one-per-mille gate throughout. Ordinary one-loop rotation is not the immediate obstruction; the live boundary is precision electroweak matching, uncertainty/covariance propagation and physical readout. AZ-071 quantifies that readout boundary. Certifying the weaker one-percent reduction at three sigma allows a combined one-sigma floor of $0.279\%$, whereas detecting the predicted second mode throughout the window requires less than 438 ppm and sub-degree orientation control. It also closes a hidden information gap in the observable map: three signed amplitudes have two independent relative phases, so a complete test of $a_2=v_u+v_d$ needs two coherent interference edges, not one. The remaining source-native work is to identify those common-process edges and calculate their electroweak matching and covariance. AZ-072 locates candidate process families for both edges, but also proves why naming them is insufficient. Heavy-meson ALP emission provides an explicit quark-line cross-term template for the low-energy $v_u-v_d$ edge. The common $tW+a$ final state contains top-like and weak-gauge diagrams for the high-energy $v_u-a_2$ edge, yet its published analysis uses one coefficient at a time. No retained cross term or common phase convention currently joins the two scales. The next finite gate is the paired two-coefficient differential calculation plus RG/threshold covariance. AZ-073 converts that open instruction into an exact response-extraction contract. The full signed $3\times3$ coefficient grid recovers baseline, linear, diagonal and interference terms, provides three independent quadratic-closure residuals and tests the positive-semidefinite bound. It also separates graph jobs: two edges identify the relative signs up to a global reversal, while a third $v_d-a_2$ edge creates the first node-rephasing-invariant cycle audit of the cross-scale convention. The protocol is closed; the two physical kernels, third validation process and signed RG/threshold matrix remain source-native work. AZ-074 relocates the first edge and strengthens the admission test. Published broken-phase W-associated axion amplitudes retain top--bottom mixed terms, so the candidate sign tree may be computed within one electroweak process family rather than joined first through $B_c$ decay. A full three-source grid has 27 settings: 19 fit the ten quadratic coefficients, nine pair-plane contrasts test closure and eight three-source corners remain held out. Once all three edges exist, admission requires the full response determinant as well as the three pairwise bounds. This protocol and its rephasing invariants are closed; the gauge-complete top--bottom--weak amplitude, surviving bottom--weak edge, detector folding and five-coordinate matching remain open. The low-energy $B_c$ route is retained as an independent scale-validation arm. AZ-075 corrects the authority of those rephasing invariants. A general source-basis shear can reverse the three-edge sign product while preserving positivity, rank and determinant sign. Since the chiral rotations defining $c_t$ and $c_b$ also shift anomalous gauge coefficients, raw edge signs from separate ALP conventions cannot yet be joined. The basis-covariance boundary is exact; the complete signed operator, anomaly, running and threshold dictionary remains the next source-native calculation. AZ-076 closes the signed tree-level part of that dictionary and exposes the remaining choice. In the Bauer *et al.* normalization and the corpus zero-Higgs-current representative, $c_t=-v_u$, $c_b=-v_d$ and $\widetilde c_{WW}=c_{WW}-a_2/2$. If the UV hypothesis is current-only, $c_{WW}=0$ and the three-coordinate map is invertible. In a general ALP EFT, however, the direct weak-boson coefficient is independent: a W-associated record sees only the combination $c_{WW}-a_2/2$, leaving $(\delta a_2,\delta c_{WW})=(2\lambda,\lambda)$ invisible. The next source-native work is therefore conditional but finite: choose the current-only hypothesis or retain a sixth coordinate, then compute RG evolution, electroweak matching, covariance and the 27-setting physical kernel. AZ-077 closes the first running question. The unprimed $c_{WW}$ is scale independent through the cited order, so $c_{WW}=0$ is a stable hypothesis rather than a tree-level convenience. The alternative $\widetilde c_{WW}$ and the current anomaly $a_2$ run together while preserving $\widetilde c_{WW}=c_{WW}-a_2/2$. The same calculation proves a no-go: the invisible $(2\lambda,\lambda)$ shift survives at every scale in the approximation, so a sweep of the same weak coefficient cannot separate inherited anomaly response from a direct bosonic operator. Crossing the weak threshold changes the operator set; $B_c$ is therefore a separately matched validation arm. The remaining transport needs full flavor/gauge evolution, finite weak matching and covariance plus a genuinely different record. AZ-078 closes the exact tree-level flavor lift and corrects an inherited label. Five Hermitian three-generation current matrices contain 45 real directions: five family singlets and forty traceless flavor directions. CKM conjugation changes entries while preserving trace and norm; it transports the left-handed quark carrier but adds no source coordinate. The weak anomaly has rank one on this space, so its bosonic record is blind to a 44-dimensional current kernel even though traceless perturbations change fermion records. The earlier vector $(1,1,1,-3)$ is the projection of completed $B-L$, not baryon number alone. On a family-universal source, the generation-summed anomaly is three times its per-family normalization. AZ-079 isolates a tempting term-level candidate for the different record requested by AZ-077. The finite weak matching for flavor-changing down currents contains an explicit unprimed $c_{WW}$ contribution, while the bosonic record sees $c_{WW}-A_2/2$. Treated alone, the formal two-row Jacobian has nonzero determinant. The coefficient is only about $-2.65\times10^{-5}$ before CKM and detector folding, corresponding to roughly $3.8\times10^4$ inverse sensitivity amplification. Existing Belle/Belle II $B\to K^{(*)}a$, $a\to\gamma\gamma$ data make this a real detector arm, but AZ-081 shows why neither that isolated term nor a published one-coupling interpretation establishes a new source coordinate. AZ-080 separates that calculation from an external data-release dependency. The Belle analysis publicly fixes four decay modes, mass windows, luminosity, an unbinned diphoton likelihood and aggregate systematics, but the inspected official surfaces do not expose the per-mode likelihood, efficiency/lifetime response or correlated nuisance objects needed for an exact $(A_2,c_{WW})$ recast. The missing datum is now a six-item release packet rather than “more data.” Plot digitization may orient sensitivity but cannot certify covariance or profiled rank. The common-basis theory kernels remain executable in parallel and should be frozen before the likelihood is opened. AZ-081 corrects the premise of that proposed rank test before the external likelihood is touched. Bauer *et al.* Eq. (74) already supplies a source-complete MFV numerical flavor kernel: after evolution, matching and basis conversion are combined, its $(A_2,c_{WW})$ block is $0.019(-0.0057)(-1/2,1)$, exactly parallel to the weak row. The determinant is zero and the old $(2,1)$ blind displacement survives. AZ-079's isolated $c_{WW}$ term was real but insufficient. Belle remains a constraint and cross-scale validation arm; sixth-coordinate identification returns to a gauge-complete differential amplitude whose non-collinear shape must survive Ward checks, the 27 settings and detector folding. The [complexity-card audit](frontier_complexity_cards_v1.md) completes OT-021's target-level pass across FPT-001--010 and FPT-022. Most declared records are polynomial after a carrier exists, but that favorable result is sharply conditional. FPT-004 retains exponential many-body preparation, sampling and verification through its Hilbert-space dimension; generic FPT-009 logical tomography costs exponentially in logical-qubit count; FPT-003 material yield remains empirical; FPT-008 microscopic origin and FPT-010 relaxation convergence remain unbounded; and FPT-022 is exact only at fixed four-mode size. OT-021 therefore remains an audit until the same five-stage schema is enforced on every newly active packet. [Wave 7.71](../frontier/wave-7/frontier_wave7_71_source_restricted_logical_generator_boundary.md) completes OT-017's present finite-algebra audit without closing its physical gate. The maximal source-visible qutrit alphabet has order 18; adding the source-labelled compiled mutual shear gives 54; granting local Fourier controls without mutual coupling gives the order-1,152 imprimitive group; and only both additions give all 51,840 elements of $Sp(4,\mathbb F_3)$. The remaining task is no longer abstract group search. It is one carrier that physically supplies both controls and predicts held-out words and forbidden orbits with leakage recorded. [Wave 7.72](../frontier/wave-7/frontier_wave7_72_claimipedia_sourcery_typed_extraction_no_go.md) exhausts the direct Claimipedia-to-Sourcery extraction test for the pinned relationship capture. Its 43 relations retain direction, endpoints and epistemic type, but zero directly satisfy the scientific-transformation admission contract. The common structure is an ordered path skeleton, not an ALE valuation, Jordan product or physical operator. OT-026 and OT-027 remain gated until one source-native path supplies exact endpoint typing, losses, evidence and a held-out compositional prediction. [AZ-082](../admissibility/admissibility_82_claimipedia_source_native_paths_pass_live_sourcery_but_dimension_and_operator_gates_remain.md) supplies the first positive half of that reopening datum without weakening the no-go. Four separately authored D02 scientific paths—sixteen distinct named steps—pass the active Sourcery v1 protocol with assumption, loss, evidence and authority ledgers intact; fourteen overstrong queries produce no candidates and fifteen invalid rules remain in rejection receipts. These paths are not the 43 epistemic edges, so the graph-only result remains zero of 43. The next finite gate is exact SI-dimensional migration to `common-algebra-2`, followed by one withheld product, operator composition or detector record. OT-026 and OT-027 remain gated at that sharper boundary. [AZ-083](../admissibility/admissibility_83_first_common_algebra2_path_and_legacy_dimension_projection.md) closes the first part of that next gate for the primary local-theorem path. Its four steps pass `common-algebra-2` with zero dimension rejections, while a missing dimension rule or inconsistent delta kills the candidate. The SI zero vector belongs to the proposal-record carrier, not to the response quantities represented inside it. The active v1 host requires an explicit dimension-erasing compatibility projection, whose loss is now recorded. Three family migrations, quantity-level units and every product/operator/detector prediction remain open. [AZ-084](../admissibility/admissibility_84_all_d02_families_pass_common_algebra2_record_layer.md) completes those three migrations. All four families pass strict composition and fail closed under missing-rule and invalid-delta mutations; their live v1 projections remain source-hash matched. Record-level dimensional migration is therefore closed. The surviving gate is no longer workflow infrastructure: it is quantity-level units and normalization followed by a withheld product, response identity, operator composition or detector record. [AZ-085](../admissibility/admissibility_85_physical_admittance_operator_and_held_out_current_witness.md) closes that gate for one conventional witness. A calibrated passive RC admittance carries siemens through Schur elimination, a declared voltage probe yields amperes, and an independent Kirchhoff solve recovers the held-out current. The quantity and operator machinery therefore works. The remaining frontier is source-native measured data, an action or common generating rule, and the untouched graph-to-Jordan extraction gate. [AZ-086](../admissibility/admissibility_86_positive_spectral_atom_and_measure_evaluation_witness.md) closes the adjacent scalar measure gate. The same RC branch yields a positive spectral atom with the correct siemens-per-second weight; evaluation recovers the eliminated response contribution and records the lost coupling sign. The unrestricted operator-measure no-go and graph-to-Jordan gate remain intact. [AZ-087](../admissibility/admissibility_87_source_native_measured_impedance_held_out_prediction.md) reaches an external measured record. A frozen nonnegative passive family predicts fifteen held-out complex impedance points from Zenodo cell ID01 inside preregistered 5% median and 20% maximum error ceilings. The next gate is the remaining 53 cells and a defensible uncertainty model. [AZ-088](../admissibility/admissibility_88_population_wide_passive_impedance_baseline.md) executes that cross-cell gate: all 54 cells pass the unchanged basis and thresholds. The remaining distinction is between a common reusable family fitted per cell and a shared law that predicts an unseen cell without recalibration. [AZ-089](../admissibility/admissibility_89_unseen_cell_shared_parameter_near_miss.md) executes the stronger no-recalibration test. A donor-only median parameter law passes 53 of 54 unseen cells, but `ID07` fails the declared median-error ceiling at 5.575%. The shared shape is broad but not universal. OT-027 now asks for a frozen hierarchical predictor and predictive covariance, with `ID07` retained as a challenge; post-hoc clustering cannot close the gate. [AZ-090](../admissibility/admissibility_90_pointwise_population_envelope_rank_identity_and_cell_level_boundary.md) closes the naive uncertainty response. A leave-one-cell-out min-max band attains 52/54 scalar coverage by rank identity, so its nominal success contains no fitted population law. Persistent cross-frequency extrema remain: `ID07` escapes the real range at all fifteen evaluated frequencies and `ID52` escapes the imaginary range at ten. The next finite gate is a nested latent-state predictor using a predeclared minimal calibration record and scoring simultaneous untouched-spectrum coverage. [AZ-091](../admissibility/admissibility_91_one_point_latent_state_boundary.md) executes that minimal-record test. Donor-selected neighbourhoods nearly close it at 53/54, but `ID07` remains beyond the median ceiling; a physically direct series-R/L anchor passes only 36/54. The next finite gate is two separated complex calibration frequencies, one port-sensitive and one relaxation/diffusion-sensitive. [AZ-092](../admissibility/admissibility_92_two_point_population_state_bridge.md) closes population-wide point prediction. All 54 cells pass from two calibration records, with donor-only selection choosing 2.8219349 Hz beside 10 kHz for 51 targets. The remaining finite gates are a globally frozen frequency pair, joint whole-spectrum uncertainty, fixture covariance and external-batch replication. [AZ-093](../admissibility/admissibility_93_frozen_two_tone_within_batch_protocol.md) freezes that pair and three-neighbour rule globally; all 54 cells still pass. The within-batch point-prediction gate is closed. The surviving boundary is simultaneous residual coverage, replicate/fixture covariance and a separately acquired batch. [AZ-094](../admissibility/admissibility_94_internal_whole_spectrum_coverage_boundary.md) closes the internal simultaneous-residual audit without overstating it. The maximum error over all fifteen untouched frequencies is covered for 49/54 cells at the nominal 90% threshold and 52/54 at the nominal 95% threshold; `ID07` and `ID12` fail the latter. Overlap among the nested donor fits prevents a distribution-free prospective claim. The finite remaining gate is an independently calibrated external batch with repeat/fixture covariance and the two challenge cells preregistered rather than used for retuning. [Wave 7.73](../frontier/wave-7/frontier_wave7_73_relative_metaplectic_phase_boundary.md) completes the reduced free-Majorana (T_1/S_1) action on the ten even genus-two characteristics. It corrects the detector target: an absolute (\pi/4) generator phase depends on a common anomaly trivialization, while the (T_1) fixed-square/two-cycle ratio and the (S_1) odd--odd/even--even fixed ratio are both the invariant (i). OT-050 remains gated on a genuinely new source object—the genus-two fermionic Baby-Monster spin family—and on a coherent relative-sector detector map. [Wave 7.107](../frontier/wave-7/frontier_wave7_107_boundary_domain_admissibility_bridge.md) adds a current-literature boundary/domain bridge without claiming a universal identification. One abelian Chern--Simons bulk supports twenty-two code boundaries; a fuzzy-sphere flux turns a declared monodromy into fractional-spin defect records; exact free-lattice Onsager structure reaches a larger infrared symmetry while trading locality and failing to survive ordinary gauging intact; and the Hitchin/Perelman operator explicitly leaves its physical real slice and eigenfunction domain undecided. The Narain handlebody coefficient supplies the hard positivity control: it vanishes for two pairs and is negative from three onward, so linear closure is not a positive ensemble. OT-051 converts this architecture into a finite test: freeze one bulk carrier, vary only declared boundary selectors, refine the regulator and demand held-out selector-specific spectra without bulk retuning. The authors state that the numerical energies, matrix elements, fit scripts and figure/table code will be released upon publication; until that release, the exact half-grid construction and published extrapolated summaries are audit fixtures, not an independent finite-size reproduction. The [Moonshine/program/lattice audit](../moonshine-program-lattice/README.md) closes two tempting identifications and the complete genus-one centralizer route, leaving a narrower oriented calculation. The Monster Lie algebra's Lorentzian grading lattice is exactly the diagonal \(II_{1,1}\) plane inside \(H_2(\mathbb R)\), but no Monster action on the full Jordan carrier or map to the conformal group follows. On the eleven-dimensional Rule-60 Golay image, \(T^{89}=\sigma^2\) and \(\operatorname{ord}(T)=23\cdot89\). Since 89 does not divide the Monster order, \(T\) is not a Monster element. The genuine shift \(\sigma\) has a determinant-23 Leech fixed lattice with Gram matrix \(\left(\begin{smallmatrix}4&1\\1&6\end{smallmatrix}\right)\), and its normalized theta/eta trace equals the common 23A/23B McKay--Thompson series. The two Golay factors contract, relative to a declared primitive root, to the conjugate ideals \((2,\alpha)\) and \((2,\alpha+1)\); their equal scalar theta series then prove exactly where orientation is erased. Volpato's September 2026 preprint supplies the abstract \(23AB\) transition channel: 529 \(U(23)\)-type sectors, an embedded \(P(23)\) parafermion algebra and a Tambara--Yamagami defect exchanging twist and charge. The fifth-power exchange and modular quarter-turn close as \(\mathrm{Dic}_{11}\) of order 44 on those labels; projectivizing removes its central sign and yields \(D_{11}\) with orbit sizes 2 and 22. The finite action embeds in \(Sp(4,23)\cong Spin(5,23)\), but no real signature survives that reduction. Ordinary charge projection still collapses all nonzero charges, while the stronger conditional parafermion route has twelve defect lines and the positive-genus group \(\Gamma_1(25)\). The identity plus eleven inverse-paired generator orientations gives another typed twelve, but no bijection to defect lines or holomorphic differentials is known. The modular audit reduces the nominal 529-function input to 24 projective branches of \(T_{23}\), and the completed defect calculation reduces it further to 25 scalar character types and twelve explicit commutant-character seeds. The full \(C_{23}\times S_4\) census exhausts every scalar insertion, and the order-24 Monster anomaly transgresses trivially along the order-23 twist. The action is therefore linearisable; five equal class traces determine equal graded \(S_4\) modules, while scalar word traces add nothing. OT-045 now begins with cross-grade VOA/defect composition or order-23-twined genus-two sewing and its metaplectic multiplier—not another centralizer representation. OT-050 asks separately for the fermionic Baby-Monster spin family, a derived off-diagonal response coordinate and a complete physical action. The subsequent modular-orbit calculation sharpens that checkpoint. Fricke invariance writes the 24 projective branches as \(T_{23}((\tau+r)/23)\), and Fourier orthogonality reconstructs every \(V_{a,b}\) character by keeping the coefficients with \(n\equiv ab\pmod{23}\). The 529 modules therefore reduce to 25 scalar character types. The verifier also executes the \(su(2)_{23}\) commutant inversion for the first three terms of all twelve even-\(l\) characters and assembles the scalar duality-defect trace through \(q^4\). That trace is fifth-power invariant and cannot retain the missing orientation. The remaining nominal commuting-insertion branch is now itself closed at scalar genus one. The exact centralizer is \(C_{23}\times S_4\); its five insertion classes reduce to the already scalar-degenerate cyclic product families \(23AB,46AB,46CD,69AB,92AB\). The transgressed projective cocycle is trivial, so the five class traces also determine the complete ordinary graded \(S_4\) module and word traces cannot reopen the route. OT-045 therefore begins with cross-grade VOA/defect composition or genus-two sewing—not with another centralizer representation or a search for 529 functions. The [finesse technology pathway](finesse_technology_pathway_v1.md) is the execution overlay: begin with a 90-day resonator-chain design and blind challenge, reuse its schema on a three-mode coherent selector platform, then advance to same-film response/force closure. Its escalation rule withholds “new physics” until a residual survives preregistered nuisance controls, independent-carrier replication and a common-parameter operator model. ## Shape of the remaining frontier The live frontier is not a sphere around one grand theory. It is a layered, perforated boundary: 1. **Computational inner rim:** exact mathematics exists and the next result needs derivation or simulation, but its cost is now typed—finite-dimensional linear carriers are usually polynomial; the two-current many-body lane is exponential in Hilbert dimension; and continuum/relaxation convergence is not assumed. 2. **Instrumented middle rim:** a physical carrier exists or has close precedent, but a decisive record bundle is missing—projector/process tomography, selector Y, conditioned versus unconditional maps, same-film broadband Hall spectroscopy and quotient-scar hardware. Force closure and low-frequency many-body rank sit one layer farther out behind measured-data and compute gates. 3. **Translation gaps:** the mathematics is exact but the arrow to operators, amplitudes, actions or observables is absent—A2 carrier maps, graph-to-Jordan products, triality/Furey reflection, D4 singularity operators and the Hecke test. 4. **Fundamental firewall:** torsion, cosmology, continuum mass gap and exceptional unification remain blocked or gated until an action, anomaly audit, scale matching and a no-refit prediction arrive together. Filled areas are exact constructions, executable emulators and established detector precedents. Unfilled areas are not blank ignorance: each now carries a missing datum and a kill condition. ## Next executable tranches ### Tranche A — no new laboratory required OT-014 and OT-041 are closed by [AZ-055](../admissibility/admissibility_55_finite_band_levinson_and_adaptive_pole_collisions.md): the finite-chain phase/count ledger and both pole collisions are certified. OT-043 is closed by [Wave 7.65](../frontier/wave-7/frontier_wave7_65_drive_to_record_am_fm_benchmark.md). OT-044 is now closed by [Wave 7.70](../frontier/wave-7/frontier_wave7_70_g2_response_folding_no_go.md): after the AM/FM nuisance is removed, the full normalized two-channel G2 transfer is still exactly an ordinary two-oscillator model. The surviving experiment requires the pre-fold D4 carrier and independently addressed outer perturbations, which raise the symmetric-port Krylov rank from two to four. The source-bearing operator dependency OT-024 → OT-027 still blocks a full OT-047 closure claim, but AZ-068--AZ-071 close the internal quotient, leading spectrum, one-loop window and detector-information audits. The remaining source-native calculation is broken-phase electroweak matching and shared covariance for two coherent process edges—not an assumed closed $2\times2$ source matrix or another abstract rank count. ### Tranche B — simulation and design closure OT-001's coordinated simulator is closed by AZ-057. Run OT-002, OT-003 and OT-037 as the remaining internal design layer: instantiate the frozen Hamiltonian and (Y) on a carrier and turn the photonic inequalities into a fabrication-ready device. OT-051 joins this tranche only when the promised fuzzy-sphere data and code are released; a table extraction is not a finite-size reproduction. OT-033 likewise joins only when AZ-060's named external source/data bundle is available; a reconstructed near-copy is not a reproduction. ### Tranche C — nearest experiments Advance OT-006, OT-009, OT-010 and OT-011/012. These are the same-film broadband tensor measurement, acoustic selector, construction of AZ-059's already frozen four-mode quotient-scar bench, and hybrid-magnon discrimination. OT-007 begins only after OT-006 supplies a frozen causal tensor and a force-resolvability calculation; OT-008 begins only after a production-scale compiled or distributed solver is provisioned. Reuse OT-043's closed coherent-sideband bundle whenever modulation is a nuisance rather than reopening the benchmark by default. ### Tranche D — reopen only on new typed data Hold OT-024--032, OT-038--040, OT-042, OT-045, OT-046, OT-049 and OT-050 to their declared entry criteria. The diagonal \(II_{1,1}\) embedding, determinant-23 fixed-lattice trace and fifth-power rail pairing sharpen those criteria but do not supply the missing oriented refinement, off-diagonal response, action or physical record. More dimension matches, basis changes or suggestive numerical coincidences do not move these fronts. ## Maintenance rule Every new result must do one of four things: close a topic with evidence, fire its kill test and preserve the no-go, split it into sharper children, or leave it open with an updated bound. Any new prose gate must be added to the queue before the packet is considered complete.