References

XXA

XX-A: Original-Rod Lapse: Classical Freeze and Quantum Admission Contract, supplied anonymous draft, -A.tex, n.d. Complete text supplied in the present exchange.

XXB

XX-B: Coupled Gauge-Fixed Free Input for the Original-Rod Lapse, supplied anonymous draft, -B.tex, n.d. Compact-test Q1 scope; no physical-state or nonlocal-insertion admission is inferred.

XXC

XX-C: State, Subtraction, and Spatial-Tail Audit for the Original-Rod Lapse, supplied anonymous draft, -C.tex, n.d. Local subtraction, conditional covariance tails, and native two-rod canonical constraint.

XXD

XX-D: The Original-Rod Relational Lapse: Composite Formula and Product Domains, supplied anonymous draft, -D.tex, n.d. Classical jet, compact-cutoff symbols, and conditional native one-contraction construction.

XXE

XX-E: Ward-Domain Audit and Newton Counterterm Images for the Original-Rod Lapse, supplied anonymous draft, -E.tex, n.d. Classical residuals, quantum-domain tests, contact images, and conditional repair.

CheungEm02E

N. Cheung, Em02-E, version 1, 02-E-v1.tex, n.d. Supplied Enter Calculus Companion record. Relevant supplied locators: :lapse, :release, and :regulated-Hessian. Original inflaton-slice rods and incomplete native quantum audit.

CheungXVIIIA

N. Cheung, Landmark XVIII-A: Prepared Relational Observables: Non-Determination, Normalization Compatibility, and Conditional Ultraviolet Matching, version 2, -A-v2.tex, n.d. Relevant supplied locators: :witness, :smoothwitness, :hbar, :ward, and :release.

CheungXVIIIB

N. Cheung, Landmark XVIII-B, version 2, -B-v2.tex, n.d. Supplied massive-scalar stress-response benchmark; not the coupled cosmological lapse.

CheungXIXA

N. Cheung, XIX-A, version 1, -A.tex, n.d. Supplied clock and prescription non-identifications, including original-versus-modified rods.

CheungXIXB

N. Cheung, XIX-B, version 1, -B.tex, n.d. Supplied coordinate-Cauchy mismatch and equation-space nontransfer qualifications.

CheungXIXC

N. Cheung, XIX-C, version 1, -C.tex, n.d. Relevant supplied locators: :two-limits and :main. Records, residuals, finite support, and continuum non-determination.

CheungXIXD

N. Cheung, XIX-D, version 1, -D.tex, n.d. Supplied Q1–Q5 same-target inventory and repair discipline.

CheungXIXE

N. Cheung, XIX-E, version 1, -E.tex, n.d. Supplied standing boundary and exact outside list.

CheungXIVH

N. Cheung, Landmark XIV-H: Internal kernel relations on the operator route, version 1, -H.tex, n.d. Relevant supplied locators: :K5exact, :H2, and :release. Separate characteristic-graph comparison.

CheungXIVI

N. Cheung, XIV-I, version 1, -I.tex, n.d. Relevant supplied locators: :I2, :I3, and :release. Internal amplitude construction and missing joint characteristic composition; not cosmological Q3.

CheungXIVJ

N. Cheung, XIV-J, version 1, -J.tex, n.d. Relevant supplied locators: :descent, :null, :reference, :J2, and :noadmission. Reconstruction and off-characteristic supported-sector interfaces, not a native lapse identity.

CheungXVB

N. Cheung, XV-B, version 2, -B.tex, n.d. Relevant supplied locators: :lifting, :jetnull, :pointcorrection, and :release. Technical actual-image and finite normal-jet interfaces; no downstream quantum admission is transferred.

CheungXVIN

N. Cheung, XVI-N, version r12, -N.tex, n.d. Relevant supplied locator: :massless-obstruction. Conditional special-family obstruction; separate spatially compact Route B remains undischarged.

CheungXVIQ

N. Cheung, XVI-Q, release Q11, -Q.tex, n.d. Relevant supplied locators: :o1, :qds, :insertion, and :package. Narrow bulk two-point report and its nontransfer boundaries.

CheungOai069

N. Cheung, Oai069-A, version 1, 069-A.tex, n.d. Supplied finite/free Ward comparison record; not a gravitational counterterm premise.

CheungOai282

N. Cheung, Oai282-B, version 1, 282-B.tex, n.d. Supplied local free-scalar Ward and finite-coverage record; not a native lapse construction.

Catalogue

OpenAI, OpenAI catalogue and companion scope records, supplied record dated 7 October 2026. Documentary comparisons only; attribution, execution, and proof validity are not independently authenticated here.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2007. DOI: 10.4171/037. arXiv:0806.1036. Cauchy well-posedness, finite propagation, and causal Green operators for normally hyperbolic bundle operators.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory, arXiv:1208.1428v2, 2013. Regular functional products, formal perturbative orders, and locally covariant Wick constructions.

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. DOI: 10.1007/s002200050004. arXiv:math-ph/9903028. Distribution extension and local renormalization framework; not automatic native noncompact admission.

FRBV

K. Fredenhagen and K. Rejzner, “Batalin–Vilkovisky formalism in perturbative algebraic quantum field theory,” Communications in Mathematical Physics 317 (2013), 697–725. DOI: 10.1007/s00220-012-1601-1. arXiv:1110.5232. Renormalized BV operations and the anomalous Master Ward Identity.

BDFrR

R. Brunetti, M. Dütsch, K. Fredenhagen, and K. Rejzner, “Unitary, anomalous Master Ward Identity and its connections to the Wess–Zumino condition, BV formalism and $L_{\infty }$-algebras,” Annales Henri Poincaré 25 (2024), 2547–2583. DOI: 10.1007/s00023-023-01388-w. arXiv:2210.05908. Anomaly-consistency framework; no native lapse breaking is imported.