References

SiblingXVIIIA

XVIII-A: Prepared Relational Observables: Non-Determination, Normalization Compatibility, and Conditional Ultraviolet Matching, version 2, supplied manuscript draft, n.d. Author not specified. Sibling interface contract; not a premise of the present calculation.

CheungI

N. Cheung, Landmark I, version 2, unpublished manuscript, n.d. Supplied .tex; destructive-readout characterization and its stated structural class. Enter Calculus Companion, https://enter.grok.me.

CheungVIIE

N. Cheung, Landmark VII-E, version 1, unpublished manuscript, n.d. Supplied observation-boundary and prescribed-schedule comparisons; :locality and :local-readout. https://enter.grok.me.

CheungHawk04A

N. Cheung, Hawk04-A, version 1, unpublished manuscript, n.d. Supplied :global, :exact, and :release; complete preservation versus declared-output recovery. https://enter.grok.me.

CheungHawk04B

N. Cheung, Hawk04-B, version 2, unpublished manuscript, n.d. Supplied :global, :classical, and complete classical-record/quantum-return distinctions. https://enter.grok.me.

CheungXVIIA

N. Cheung, XVII-A: One boundary reconstruction is not holographic emergence, version 1, unpublished manuscript, n.d. Supplied :main, :timeband, and :release; separate finite-matrix AdS${}_2$ benchmark. https://enter.grok.me/browse/XVII-A.

CheungVIIH

N. Cheung, VII-H: Normalization-independent connected quantum responses: complete ambiguity, observable descent, and a nonzero free-field benchmark, version 1, unpublished manuscript, n.d. Supplied :ambiguity and :release; free massless Wick-square susceptibility. https://enter.grok.me.

CheungXVIB

N. Cheung, Landmark XVI-B, version 1, unpublished manuscript, n.d. Supplied fixed-width source identities and source/response/class comparison boundaries. https://enter.grok.me.

CheungXIIC

N. Cheung, XII-C: One declared cubic weighting: actual Euler source, changed Noether identity, and the coupled-jet question, version 1, unpublished manuscript, n.d. Supplied cubic-only density freeze and actual source derivatives. https://enter.grok.me.

CheungXAconv

N. Cheung, X-A-conv, version 1, unpublished manuscript, n.d. Supplied fixed switched-convolution construction and first-order covariance obstruction. https://enter.grok.me.

CheungOai282A

N. Cheung, Oai282-A, version 1, unpublished manuscript, n.d. Supplied :ward; finite local-Ward insertion contract, contact bookkeeping, and coverage qualifications. https://enter.grok.me.

CheungOai282B

N. Cheung, Oai282-B, version 1, unpublished manuscript, n.d. Supplied :coverage and :release; ordered free-scalar Wick action and homogeneous stress class. https://enter.grok.me.

CheungOai069A

N. Cheung, Oai069-A, unpublished manuscript, n.d.; version not supplied. Cited only through the supplied scope summary of a finite free-scalar Ward-defect audit. No full theorem or decoder construction is assumed. https://enter.grok.me.

Catalogue

OpenAI mathematics catalogue / Family 282, attributed to OpenAI in the supplied companion record. Documentary scope summary only; attribution and mathematical proofs are not independently authenticated here. https://enter.grok.me/OpenAI.

CheungVI

N. Cheung, Landmark VI, version 1, unpublished manuscript, n.d. Supplied classical relational-descent theorem and RG-open quantum finite-renormalization audit. https://enter.grok.me.

CheungXVIM

N. Cheung, Landmark XVI-M, supplied version 1 record, unpublished manuscript, n.d. Supplied :wpB-dp, :wpB-MC, and top-versus-full scale-tensor qualifications. Artifact reports are not independently executed here. https://enter.grok.me.

CheungXVIH

N. Cheung, XVI-H: Compact polarized kernel and witness recovery, supplied version 1 record, unpublished manuscript, n.d. Supplied compact-kernel construction and retained full-wavefront/class-admission boundary. https://enter.grok.me/browse/XVI-H.

CheungXIVH

N. Cheung, XIV-H: Internal kernel relations on the operator route, version 1, unpublished manuscript, n.d. Supplied :H2, exact internal maps, and version-local amplitude boundary. https://enter.grok.me.

CheungXIVI

N. Cheung, Landmark XIV-I, version 1, unpublished manuscript, n.d. Supplied :I2, :I3, and :release. https://enter.grok.me.

CheungXIVJ

N. Cheung, Landmark XIV-J, version 1, unpublished manuscript, n.d. Supplied :reference, :J2, and :noadmission. https://enter.grok.me.

CheungXVB

N. Cheung, Landmark XV-B, version 2, unpublished manuscript, n.d. Supplied relative-lifting and finite normal-jet interfaces; full characteristic-map boundary retained. https://enter.grok.me.

CheungXVIN

N. Cheung, Landmark XVI-N, revision r12, unpublished manuscript, n.d. Supplied Theorem 11, :massless-obstruction, and Route A/Route B qualifications. https://enter.grok.me.

CheungXVIO

N. Cheung, Landmark XVI-O, revision o70-sync, unpublished manuscript, n.d. Supplied kernel-prescription subsector verdict and separate unresolved bulk O.1 status. https://enter.grok.me.

CheungXVIP

N. Cheung, Landmark XVI-P, supplied p23 record, unpublished manuscript, n.d. Selected two-point sector, external-leg scheme, and retained bulk-restoration boundary. https://enter.grok.me.

CheungEmIIE

N. Cheung, Em02-E, version 1, unpublished manuscript, n.d. Supplied :lapse, :release, and incomplete quantum regulator-removal audit. https://enter.grok.me.

AMP

P. R. Anderson, C. Molina-París, and E. Mottola, “Linear response, validity of semiclassical gravity, and the stability of flat space,” Physical Review D 67 (2003), 024026. https://arxiv.org/abs/gr-qc/0209075. External spectral and CTP comparison; no metric stability theorem is imported.

Mottola

E. Mottola, “Gravitational Vacuum Polarization: Decoupling and the Conformal Anomaly,” arXiv:2607.18180 (2026). https://arxiv.org/abs/2607.18180. External distinction between the stress correlator and the complete second metric variation with local terms.

BF

R. Brunetti and K. Fredenhagen, “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Communications in Mathematical Physics 208 (2000), 623–661. https://arxiv.org/abs/math-ph/9903028.

BDH

C. Brouder, N. V. Dang, and F. Hélein, “A smooth introduction to the wavefront set,” Journal of Physics A: Mathematical and Theoretical 47 (2014), 443001. https://arxiv.org/abs/1404.1778.

FrobCorrelation

M. B. Fröb, “Gauge-invariant quantum gravitational corrections to correlation functions,” Classical and Quantum Gravity 35 (2018), 055006. https://arxiv.org/abs/1710.00839. Different relational scalar observable; no match is asserted.