A hybrid classical-quantum dynamics whose decoherence, geometry noise, and causal-order action are all driven by one record-export current faces a sharp question the moment it is written down non-relativistically: is the single laboratory time in its intensities and its equal-time noise a removable scaffold, or a load-bearing preferred simultaneity? This paper audits that question for the record-history kernel P_ker adopted earlier in this series, in a fully declared formal setting and with a pre-committed either-way verdict. The scope is fixed before anything is scored: a fixed globally hyperbolic background (Minkowski benchmark) under a minimal dressing assumption D0, at leading order in the export couplings — never background independence, never Planckian physics. The setting types record exports as non-selective instruments implemented in the Fewster-Verch measurement-scheme sense; lifts the kernel's adaptedness clause to a causal-set-indexed filtration (intensities measurable with respect to their own causal past); and requires export-sourced noise to admit a representation as a retarded kernel integrated against an adapted martingale measure, separating retarded response (M3a) from screened common-past correlations (M3b). Four covariant lifts of the export intensity are scored on eight criteria, including a local-implementation witness and covariant trade-off data. The hypersurface candidate fails as a primitive — the live example of the barred move, "notation-covariantization" — while the world-tube candidate passes, with the density and diamond forms as its aggregates. For the surviving class the paper constructs, rather than asserts, its core: an explicit measurement-scheme witness model (a pointer coupling to a fragment carrier field, compactly supported in the event diamond and switched by the apparatus's own trigger field) for the self-adjoint dephasing subclass of the kernel's operator family — a declared narrowing carried as an explicit scope condition; an explicit admissible-noise construction (compensated-Poisson impulses along the tube, retarded profiles), whose covariance computation recovers the kernel's equal-time form as its non-relativistic cell limit and whose screening property is proved, not assumed; an export stress tensor constructed pathwise — the difference of one closed, internally switched action's on-shell conserved stress tensor along two coupled realizations differing only in the jump innovation at the event diamond — so that conservation is a pathwise identity, causal support follows by finite propagation speed, and the monopole vanishes by global conservation, with the trigger's locality carried as a displayed hypothesis; a typing theorem showing the kernel's three type declarations make every witnessed export a causally admissible local operation (with a two-step counterexample showing each declaration is necessary — the Sorkin impossible-measurement threat is blocked by exactly those declarations); a leading-order foliation-independence proposition (spacelike-separated update maps commute; adapted increments compose; the multi-event kernel is independent of the causal linear extension); and the tube-wise decoherence-diffusion floor with the Minkowski benchmark numbers recovered unchanged. The verdict is scoped, not discharged. What is certified is a constructed microcausality core at leading order for the exhibited, witnessed class: after this paper, the registered sentence "nothing relativistic certified" no longer stands as written. What remains open is named, not hidden: the general-frame operator derivation of the trade-off floor for boosted extended populations; the multi-event composition law beyond leading order, where geometry back-reaction couples updates within a light cone; background independence — the dressed-source seam assigned to the next paper; and measurement-scheme witnesses for the kernel's operator family beyond the self-adjoint dephasing subclass. Because those conjuncts are open, the covariant-extension debt as a whole is not paid, and the honest verdict under the grouping's shared discharge type is scoped, with the kernel keeping its declared non-relativistic restriction and the series' U3-level claims keeping their published ceiling until the completion closes. Within the series this opens the thirteenth grouping — the Debt-Discharge Program (Papers 45-47) — whose charter, naming rule, and verdict type are defined here and reused by the dressed-source and species/ultraviolet panels. Nothing is adopted, calibrated, or scored; no band moves; the substantive preferred-foliation rival is declined, not refuted.
A hybrid classical-quantum dynamics whose decoherence, geometry noise, and causal-order action are all driven by one record-export current faces a sharp question the moment it is written down non-relativistically: is the single laboratory time in its intensities and its equal-time noise a removable scaffold, or a load-bearing preferred simultaneity? This paper audits that question for the record-history kernel P_ker adopted earlier in this series, in a fully declared formal setting and with a pre-committed either-way verdict. The scope is fixed before anything is scored: a fixed globally hyperbolic background (Minkowski benchmark) under a minimal dressing assumption D0, at leading order in the export couplings — never background independence, never Planckian physics. The setting types record exports as non-selective instruments implemented in the Fewster-Verch measurement-scheme sense; lifts the kernel's adaptedness clause to a causal-set-indexed filtration (intensities measurable with respect to their own causal past); and requires export-sourced noise to admit a representation as a retarded kernel integrated against an adapted martingale measure, separating retarded response (M3a) from screened common-past correlations (M3b). Four covariant lifts of the export intensity are scored on eight criteria, including a local-implementation witness and covariant trade-off data. The hypersurface candidate fails as a primitive — the live example of the barred move, "notation-covariantization" — while the world-tube candidate passes, with the density and diamond forms as its aggregates. For the surviving class the paper constructs, rather than asserts, its core: an explicit measurement-scheme witness model (a pointer coupling to a fragment carrier field, compactly supported in the event diamond and switched by the apparatus's own trigger field) for the self-adjoint dephasing subclass of the kernel's operator family — a declared narrowing carried as an explicit scope condition; an explicit admissible-noise construction (compensated-Poisson impulses along the tube, retarded profiles), whose covariance computation recovers the kernel's equal-time form as its non-relativistic cell limit and whose screening property is proved, not assumed; an export stress tensor constructed pathwise — the difference of one closed, internally switched action's on-shell conserved stress tensor along two coupled realizations differing only in the jump innovation at the event diamond — so that conservation is a pathwise identity, causal support follows by finite propagation speed, and the monopole vanishes by global conservation, with the trigger's locality carried as a displayed hypothesis; a typing theorem showing the kernel's three type declarations make every witnessed export a causally admissible local operation (with a two-step counterexample showing each declaration is necessary — the Sorkin impossible-measurement threat is blocked by exactly those declarations); a leading-order foliation-independence proposition (spacelike-separated update maps commute; adapted increments compose; the multi-event kernel is independent of the causal linear extension); and the tube-wise decoherence-diffusion floor with the Minkowski benchmark numbers recovered unchanged. The verdict is scoped, not discharged. What is certified is a constructed microcausality core at leading order for the exhibited, witnessed class: after this paper, the registered sentence "nothing relativistic certified" no longer stands as written. What remains open is named, not hidden: the general-frame operator derivation of the trade-off floor for boosted extended populations; the multi-event composition law beyond leading order, where geometry back-reaction couples updates within a light cone; background independence — the dressed-source seam assigned to the next paper; and measurement-scheme witnesses for the kernel's operator family beyond the self-adjoint dephasing subclass. Because those conjuncts are open, the covariant-extension debt as a whole is not paid, and the honest verdict under the grouping's shared discharge type is scoped, with the kernel keeping its declared non-relativistic restriction and the series' U3-level claims keeping their published ceiling until the completion closes. Within the series this opens the thirteenth grouping — the Debt-Discharge Program (Papers 45-47) — whose charter, naming rule, and verdict type are defined here and reused by the dressed-source and species/ultraviolet panels. Nothing is adopted, calibrated, or scored; no band moves; the substantive preferred-foliation rival is declined, not refuted.
This paper is the forty-first in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It opens the twelfth grouping — the U3 construction program — and executes a declared mode shift: from audit to adoption. The eleventh grouping (Papers 38-40) audited three independent seams for a framework-forced world-side observable and returned three honest nulls; its capstone proved that adoption, typing, and matched-warrant witnesses alone do not generate U3 (dynamical unification with new physical predictions), and named the additional world-side postulate such content would cost. This paper pays the named cost explicitly, in public, at a typed level. It defines a new claim level, L3-A (adopted world-side dynamics postulate) — declared, parameterized, falsifiable, conditionality-tagged, normalized before prediction — and adopts at that level a common record-history kernel P_ker: one classical-quantum (GKSL-type CQ) generator whose fixed Lindblad operators are export-event operators driven by an adapted, classical, non-future-referencing record-export intensity J_rec, with eligibility thresholds (redundancy floor, retention floor, error ceiling, grain) fixed once at adoption for every system and every experiment, never re-tuned. The same operator family drives three faces — matter-side export decoherence (lambda_dec), geometry-side stochastic sourcing (lambda_diff, connected to Paper 38's variance budget by an adopted export-fluctuation sourcing law), and causal-order classicalization at the derived rate lambda_ord = kappa lambda_dec, with kappa computed from operator overlap, not tuned. Erasing the operator family anywhere erases it everywhere: that, not an analogy among three sectors, is what "common dynamics" means here. The flagship object is the admissible coefficient space A_ker of lambda = (lambda_dec, lambda_diff) under an eight-gate consistency system: complete positivity; operational no-signaling at the declared non-relativistic weak-field regime; the decoherence-diffusion trade-off floor of classical-quantum gravity — imported only after a normal-form placement derivation licenses its hypotheses for the export-localized kernel class, in operator form first and as a benchmarked scalar projection second; Paper 38's energy-budget ceiling through the displayed sourcing bridge; second-law accounting; and three data ceilings (molecular interferometry, mm-scale gravimetry, quantum-switch visibility), each carrying an explicit export-density-audit vacuousness branch. At the declared benchmark the gates leave an explicit admissible point (lambda_dec = 1e-2, lambda_diff = 1e-57 kg^2 s^2 per event), so A_ker is nonempty and the program proceeds. A distinctness lemma separates P_ker definitionally from universal mass-density CQ coupling, with the honest converse stated (empirical distinctness must be earned in Paper 43's rho_J-varying regimes, else the generic-CQ collapse branch fires); a calibration ledger fixes what the single calibration slot may ever buy; recovery conditions RC1/RC2a/RC2b/RC3 are defined here and owed by Paper 42; a closure map guarantees every branch of the grouping — consistency no-go, generic-CQ collapse, trade-off-underdetermined, recovery no-go, suppressed, excluded, or surviving window — ends in a definite, publishable result. The paper claims no gate crossing and no U3; it asserts none of the new physics it adopts; all downstream results are conditional on P_ker. The adopted postulate is genuinely new physics as a commitment (L3-A); the paper's own computations about it are interpretive (L2-Q) on imported physics (L1).
This paper is the forty-second in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It is the recovery panel of the twelfth grouping — the U3 construction program — and it adopts nothing new. Paper 41 adopted, at the claim level L3-A defined there, the common record-history kernel P_ker (one classical-quantum GKSL-type generator whose fixed Lindblad operators are export-event operators driven by a classical, adapted record-export intensity), computed a nonempty admissible coefficient space, and left four obligations to this paper: the recovery conditions RC1/RC2a/RC2b and the single calibration RC3, under a binding ledger (one calibration, spent on lambda_dec only; lambda_diff carried as a gate-bounded prediction band; thresholds never re-tuned). This paper executes them. RC1 is proved as a theorem: in any sector containing no certified export channels, the kernel's matter/order dynamics is exactly unitary — a sector statement, not a coefficient limit, and not a claim that unexported mass ceases to gravitate. RC2a is proved as a bounded-residual theorem: the Newtonian baseline drift is fixed by definition to the imported Newtonian classical-quantum mean dynamics, the export correction is shown to be cell-mean-zero by the decomposition bookkeeping (with the adopted sourcing law's first moment checked — a real failure mode, not realized), and the residual mean-source shift is dipole-suppressed below every declared class tolerance delta_g(class); the honest status row records that no current class co-locates audited export density with a Newtonian-verification measurement, so the world-side probe is today bounded, not probed. RC2b is split in advance: an executed compatibility check — the Jacobson-route hypotheses of Paper 36 reduced row by row to declared criteria with declared tolerances, of which the normalization row is satisfied (G an input, never an output), the entropy-monotonicity row is satisfied under a displayed record-basis pinching condition, and the local-equilibrium and Clausius-defect rows are fixed as criteria whose concrete exhibition and evaluation are assigned to Paper 43's audit program (no row failed; the which-entropy circularity imported as a live defect) — and a typed covariant debt (relativistic microcausality, dressed sources, species), named and not discharged. RC3 is spent exactly once, on the single calibration benchmark declared before any dephasing datum was consumed: the measured measurement-induced dephasing of a dispersively read superconducting qubit (Schuster et al. 2005; channel model Gambetta et al. 2006). The audit is non-vacuous by construction: certified exports are the output-port photons insofar as their field modes are amplified into the retained quadrature record at the declared grain — the certified intensity is nu_eff = eta_cert kappa nbar with eta_cert = eta_ext eta_rec, the output coupling times the record-chain efficiency, both declared as intervals — and the per-event pointer-overlap deficit is computed from the device's spectroscopic parameters (2 chi / kappa = 1.0, so the which-state information is fully exported per photon). The declared linear fit proves mathematically inapplicable at this device's measurement strength, so the extraction is executed as a documented protocol-deviation conservative bound — a declared-tolerance ceiling read against the source's own validated line-shape model, from text-stated quantities only, with a full sensitivity table — and the source's data show no excess dephasing beyond that model: the calibration returns not a point but the pre-declared gate-truncated band Lambda_cal = [5e-5, 2.1], computed at the conservative corner of the declared inputs (including the record-chain efficiency) so the dominant systematics sit inside the band; the two bookkeepings of standard budget and kernel excess are ledger-distinct while the physical carriers may overlap. The band is nonempty, so the normalization survives: lambda_dec is bounded above, for the first time, by a declared-tolerance reading of laboratory line-shape data (a factor of five below Paper 41's illustrative interferometric ceiling at the most conservative record-chain reading, tightening to a factor of fifty under the architecture-level reading), lambda_dec = 0 is never carried (the trade-off floor truncates from below), and the normalized kernel — the lambda_dec band, the lambda_diff prediction band, the computed order coefficient, the unchanged thresholds — is handed to Paper 43. The retired authority is the Global Reducer: the demand that an adopted dynamics earn its standing only by a globally certified exact reduction of the established theories. Its methodological face falls to the construction — exact-but-sector-relative unitarity, on-average Newtonian sourcing over declared classes, imported-route compatibility at declared order, and declared-calibration normalization are how correspondence is legitimately held; its substantive face (one true global reduction) is declined, not refuted. Every result is conditional on P_ker; the calibration datum is spent, never scored; no gate is crossed and no U3 is claimed.
This paper is the forty-third in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It is the prediction-and-exclusion panel of the twelfth grouping — the U3 construction program — and it adopts nothing, spends nothing, and tunes nothing: Paper 41 adopted the common record-history kernel P_ker at the claim level L3-A and computed its admissible space; Paper 42 executed the recovery conditions and spent the grouping's single calibration, freezing the normalized kernel — the decoherence coefficient confined to the gate-truncated band Lambda_cal = [5e-5, 2.1] (architecture-level record-chain variant [5e-5, 2.1e-1]), the diffusion coefficient carried as a per-class prediction band, the order coefficient computed from operator overlap, the eligibility thresholds fixed at adoption. Every number in this paper is a consequence of the normalized kernel plus declared audit inputs. The paper computes the program's first genuine prediction bands, both defined as excesses over the full standard model. For any controlled-order process (quantum-switch class) with audited certified-export count N_exp coupling to the order register during coherence, the order coherence obeys -ln(V/V_std) = kappa_W lambda_dec N_exp, with V_std computed first (including the standard which-order record-formation decoherence Paper 34 already identifies) and the overlap coefficient computed exactly for the declared symmetric dual-rail tapped-switch configuration (orthogonal detector modes give kappa_W = 1, and V_std(t) = V_0(1-t) is derived for the actual circuit). The export-correlated geometry-noise band is delivered with its dimensional map and shown to sit roughly sixteen orders below any plausible force-noise floor — suppressed, computed and stated early; the order channel carries the panel. Three verdicts follow, each by a rule fixed before any data were consulted. The exclusion audit (one-dataset-one-role: the Paper 42 calibration dataset is barred) finds every existing class either export-vacuous or — the one export-non-vacuous sibling row, Sears et al. 2012 — bound-non-yielding, because the source states no quantitative residual and the declared transcription discipline forbids manufacturing one: nothing is carved, the surviving set equals the whole band, and this pre-declared fallback outcome is published as such. The empirical-distinctness decision (the generic-CQ collapse branch Paper 41 deferred here), evaluated pointwise over the band against the whole admissible universal-mass-density-CQ comparator class, returns undecided-with-a-specified-discriminant: no performed audit decides it in either direction, and the band's upper sub-band carries a specified, feasible, not-yet-performed differential audit — identical monitored devices with the output chain recorded versus unrecorded at fixed total decay, on which every admissible comparator predicts zero contrast and the kernel does not — with the decision rule for its execution pre-committed (contrast: distinctness earned; null across the discriminable sub-band: that region carved and the collapse verdict fires). The reachability trichotomy: the binding design inequality of any co-designed export channel is lambda_dec times the probe's certified fraction >= 4 deltaV / V_0 (derived for the declared circuit at its optimal tap), and on the supported photonic-switch platform class (Procopio 2015; Rubino 2017; Goswami 2018) the declared floors reach lambda_dec >~ 1.7e-1 at the conservative probe corner (4.7e-2 at the best declared corner): the verdict is (iii-c) — a surviving, partially reachable window — and Paper 44 is unlocked as a design-and-feasibility paper, inheriting the probe specification, the confound budget, and the differential-audit protocol. The retired authority is the Global Sequencer in its dynamical face — the assumption that definite before-and-after must be imposed by a dedicated universal classicalizing agency rather than generated at a computable, testable rate by ordinary record export; its retirement is conditional on P_ker and says so. "Not excluded" is never read as "confirmed"; no gate is crossed; no U3 is claimed — even the surviving window is a window, not a crossing.
Paper 55 of this series proved that the certified record-history kernel composes foliation-independently at the displayed orders under D0 — undressed update operators, Kraus operators in mutually commuting spacelike algebras — and relocated the dressed case in both directions: "dressed update operators (beyond D0) — the class-boundary question — not settled here in either direction: physical dressed operators fail exact spacelike commutation (Donnelly & Giddings 2016), so whether they reintroduce ordering dependence is exactly what a dressed construction must decide." Paper 57 built that dressed construction at declared anchor classes. This paper — the centre panel of the Shared-Frontier Program (Papers 57-59), consuming the charter Paper 57 defined — makes it decide at the kernel's own grade: the classical-quantum class the corpus actually runs (geometry classical at tree level), with the quantum-field dressing half of the question excluded at the definition, not at the verdict, and seated at (d5). What is decided is the kernel-grade half of the question; the paper's thesis, annotations, and verdict all carry that qualifier. The audited authority is the Global Integrability Oracle: the guarantor that the world's many dressed local updates compose consistently, assumed rather than earned. The paper replaces the pronouncement with a computation. Delivered: the dressed slab calculus — Paper 55's one-node factorization lifted to the package, with the dressing correction displayed per factor in three typed components (support re-anchoring, collar-bounded; the retarded dressed-response correction; the constraint-tail conditioning at the kernel's classical-quantum grade), complete positivity, adaptedness, and localization proved, with the common-domain fact typed at the channel level (apparatus channel type vs support realization — no canonical local-algebra element identity asserted across anchorings, consistent with Paper 57's sandwich); the residual theorem — the transposition computation extended to the full dressed pair table (sixteen cross-factor pairs, displayed as a 4x4 matrix with an order dictionary, each computed, plus the surface-tied booking schemes whose mid-composition differences cancel at the endpoint) — landing every in-class same-endpoint spacelike transposition residual in the zero cell of the pre-committed typology {zero, pure-convention, order-effective}, strict map identity for every admissible representative, the trichotomy exhaustive and decidable via a fully specified dressing-convention quotient; the representative-equivalence lemma owning the presentation content (the pure-convention cell is inhabited by presentation data, not endpoint residuals); Paper 45's (o4) operator families entering as first-class rows (their composition-facing half decided — no self-adjointness consumed; their measurement-scheme half returned open-named); the stability theorem (Paper 55's Theorems 1-2 persist under dressing at both equality grades); an out-of-class witness displaying the order-effective cell's shape (a quantum-tail toy phase, with the Weyl-convention note: the factor-2 ordering ratio is convention-independent in magnitude); and exact recovery of the undressed calculus with the Model M band unchanged. The verdict is scoped, not certified: conjuncts (d1)-(d4) close at the displayed orders on the declared classes; (d5) — iterated feedback, all-orders composition, the nonperturbative classical-quantum constraint sector, and the quantum-field dressing boundary — is scored open and built elsewhere. FrontierStatus(composition) = scoped at model grade. Paper 55's (t5) closes the kernel-grade half of its dressed-operator row by annotation; the Oracle is unemployed: consistency was computed, not pronounced. Nothing is adopted, calibrated, or scored; no band moves; the substantive integrability-of-nature face is declined, not refuted.
This paper is the thirtieth in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It is the second panel of the eighth grouping — a foundational-physics trilogy — and its quantum-structural centre. Paper 29 defined a quantum record's world-side physical-publicity capacity "at any declared admissible grain gamma," deferring the question of which grains are admissible; this paper pays that debt. Its subject is classicality: which observables support stable pointer structures and redundantly recorded outcome information, shareable as "the classical facts." The claim is that classicality is real but not authoritatively global. There is no Global Classicalizer: no physically privileged subsystem or process that primitively fixes the one system/environment tensor cut, the one set of pointer variables, the one authentic decoherent-history family, and the one true coarse-graining. Einselection selects pointer states, but only relative to a declared cut and interaction; the cut is not fixed by the bare global state, because tensor-product structure is observable-induced and admits inequivalent virtual subsystems. Decoherent and consistent histories select no unique family either. What disciplines this is not a global classicalizer but the series' admissibility machinery, here made operational. A classicality verdict is relative to a declared, anti-gerrymandered, challenge-open cut gamma and history-family kappa, is objectively assessable relative to that specification, and is profile-valued (ClassProf). The flagship R-A separates an unconditional kinematic part — a bare state fixes neither subsystem purity and entanglement nor which observables count as local; relative to a declared tensor-product structure it fixes a sharpness profile over the local-observable algebras, which a worked two-qubit Bell-state example computes (the same state is maximally entangled under one factorization and a product under a rotated one), although the Born sharpness of one fixed physical observable is not changed by a mere refactorization — from a conditional dynamical part: if one fixed dynamics admits more than one admissible factorization with distinct robust pointer structures, the classicality profiles need not be unique, an antecedent whose multiple-factorization and pointer-robustness components recent fixed-Hamiltonian searches support (Adil et al. 2026), without yet establishing its redundancy or history-family components. There is no primitive, state-only canonical cut, though a particular dynamics may contingently leave a unique admissible one. R-B lifts the set-selection problem: consistency does not single out a family, contrary inferences are possible, and whether quasiclassicality leaves a unique realm is unsettled; conditional on more than one admissible quasiclassical family, time-extended assertibility is family-relative, with a disposition trichotomy (determinate / admissibly open / spuriously unique). A coherence policy, not a theorem, governs cross-grain comparison: admissible grains agree on the full statistics of genuinely shared observables, while their publicity capacity profiles agree only given a common access and fragmentation specification; elsewhere they are declared incomparable, and the failure to glue globally is itself the signature of no global classicalizer, whose formalization is handed to Paper 31. This discharges Paper 29's grain-deferral and keeps classicality (world-side) type-distinct from warranted public standing (the warrant layer): classicality is grain-relative but objective — there is no primitive state-only canonical cut, and there is no anarchy either. ALAC Paper 30. Second panel of the eighth grouping — a foundational-physics trilogy (29 Public Quantum Records -> 30 Classicality Without a Global Classicalizer -> 31 Spacetime Localization Without a Global Frame). Part of the Consistency-Constrained Information History (Akashic Ledger Architecture Cosmology) series. Presents no new quantum mechanics; results are interpretive (L2) on imported physics (L1).
This paper is the thirty-second in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It opens the ninth grouping — the quantum-mechanics–gravity interface trilogy (32 Quantum Geometry → 33 Records Backreacting on Geometry → 34 Causal Structure Without a Global Order) — and is the first paper to cross Gate IV (geometry sensitivity): the metric is no longer a fixed background but a quantum degree of freedom. Papers 8 and 31 localized records relationally but on one fixed geometry, where a frame-change groupoid on the shared space made localization objective. When the geometry is itself superposed there is no physically privileged cross-branch map — a common manifold, if used, is mathematical scaffolding, not a physical identification — so that groupoid has no physical domain, and a tempting shortcut appears: compare the branches on one external background and read "the same event" off coordinate coincidence. The claim is that there is no Global Background. The hole argument's lesson — that a record-formation event is individuated by relational coincidences and what is recorded there, not by a manifold point (Einstein's point-coincidence resolution; Stachel, 2014; Rovelli, 2002) — does not merely survive into the quantum case; it sharpens into a problem no background can solve: across inequivalent geometry branches even the relational strategy must be carried by a declared, admissibility-constrained comparison map. Throughout, an event is a record-formation event, kept type-distinct from the record token and from its provenance; unrecorded events are out of scope. The flagship R-A is a separation, not a denial: there is a two-branch geometry-superposition state for which the background-label map (a presentation artifact identifying events by the external labels used to write the branches down) and the admissible relational/provenance comparison return different verdicts, and only the latter is invariant under relabeling. So event identity is not background-readable; primitive identity gives way to identity under an admissible comparison map, where admissibility requires relabeling/gauge-invariance, a support (witness-neighborhood) condition, provenance preservation, anti-gerrymander, and challenge-openness — and the background-label map is the foil, not one admissible map. A worked finite model — two branches presented as record-coincidence graphs with no shared vertex set, including a harder case with the same labels and same contents but non-isomorphic structure — computes the divergence and the determinate / admissibly-open / incomparable trichotomy. R-B extends Paper 31's localization profile to a geometry-indexed GeoLocProf that strictly generalizes it (Paper 31 is the single-geometry degenerate case), built over an identity fiber rather than treating one event as recurring in several branches. R-C lifts the disposition trichotomy to geometry branches. R-D handles region and local-algebra correspondence as induced-where-possible or declared/deferred. This crosses Gate IV, carries Paper 9's record arrow into the interface as a provenance-compatibility clause, retires the Global Background, and hands backreaction to Paper 33 and causal order to Paper 34. Geometry is quantum; its dynamics is not derived. ALAC Paper 32. First panel of the ninth grouping — the quantum-mechanics–gravity interface trilogy (32 Quantum Geometry Without a Global Background -> 33 Records Backreacting on Geometry -> 34 Causal Structure Without a Global Order). Part of the Consistency-Constrained Information History (Akashic Ledger Architecture Cosmology) series. Presents no new quantum mechanics or gravitation; results are interpretive (L2) on imported physics (L1).