This paper is the thirty-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 second panel of the ninth grouping — the quantum-mechanics–gravity interface trilogy (32 Quantum Geometry → 33 Records Backreacting on Geometry → 34 Causal Structure Without a Global Order) — the panel where the record arrow is centred and made gravitationally costly. Papers 3, 6, and 9 gave the redundancy form of public finality, a structured thermodynamic record profile (with a no-universal-heat-tax result), and the arrow of records as an adopted boundary-condition package; Paper 32 made the metric a quantum degree of freedom. None of them costs the recording against geometry. The thesis is that there is no Global Passive Ledger-Capacity: no physical capacity supporting record formation, clock use, retention, environmental redundancy, and public finality is given as a global resource free of energy, entropy, localization, and gravitational constraint. The load-bearing content is not the truism that records cost energy and energy gravitates, but a criterion and a scoped tradeoff carried on the right quantity — the localized excess energy (mass-equivalent Mₗoc, used as a weak-field compactness proxy) a record concentrates within its localization scale ℓₗoc relative to a no-record baseline, distinct from the cumulative thermodynamic cost, most of which is exported as heat and gravitates elsewhere. R-A is a flagship δ-negligibility criterion: relative to a declared metric-perturbation tolerance δ and a declared, certified bracket (lower floor, certified upper bound) on Mₗoc, whether a record's localized backreaction is negligible is a bracket-decidable three-way verdict — guaranteed negligible, guaranteed non-negligible, or undetermined — against the threshold M_δ = δ c² ℓₗoc / (2G). A short certification protocol itemizes the upper bound (carriers, clock, locally retained correction, in-region transient heat) by design, measurement, or simulation, defaulting to undetermined when uncertified. R-B is a scoped no-go: only under engineered, actively-corrected, fixed-localization antecedents does strengthening public finality past a threshold preclude δ-negligibility; under natural, dispersed (quantum-Darwinist) amplification it does not, and Paper 6's no-universal-heat-tax is honored at the source localization scale. R-C attributes the arrow-dependent increment of Mₗoc to the irreversible arrow steps (ready-state preparation, retention, proliferation, reset, locally retained correction), while the apparatus baseline gravitates regardless. A worked clock-cum-memory model evaluates the criterion using slack-aware Bekenstein (capacity) and Salecker–Wigner-type (declared clock model) floors, with Pikovski gravitational time-dilation decoherence as a retention constraint and an order-of-magnitude illustration. The account is semiclassical, bound-type, and per-branch — a bridge off Paper 32, not full quantum-gravity backreaction; the metric perturbation is read through a declared response model, no Einstein equations are derived, and the cross-branch case is carried by Paper 32's geometry-indexed localization. ALAC Paper 33. Second 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 physics; results are interpretive (L2) on imported physics (L1).
Tomoyuki Uchida (Wed,) studied this question.