References

XXC

XX-C: State, Subtraction, and Spatial-Tail Audit for the Original-Rod Lapse, draft supplied in the present manuscript exchange, -C.tex, n.d. Frozen background and normalization, local subtraction, conditional covariance tails, and native two-rod commutator calculation. Its quantum Q2 package is explicitly not closed.

XXB

XX-B: Coupled Gauge-Fixed Free Input for the Original-Rod Lapse, draft referred to in the supplied XX-C record, n.d. Only the equations reproduced in the present manuscript are used. Full-text inspection and registered authorship are not asserted.

CheungEm02E

N. Cheung, Em02-E, version 1, 02-E-v1.tex, registered manuscript, n.d. Enter Calculus Companion, https://enter.grok.me. Relevant supplied locators: :lapse, :release, and “The quantum input gate and the first contraction target.” Original inflaton-slice rods, the classical second expansion, and incomplete quantum audit.

CheungXIXA

N. Cheung, XIX-A, version 1, -A.tex, registered manuscript, n.d. Enter Calculus Companion, https://enter.grok.me. Relevant supplied locators: :original-rods, :lapse-composition, :n1, :n2, and :rod-detection. Original-versus-modified rod distinction and the second-order composition identity.

CheungXIXD

N. Cheung, XIX-D, version 1, -D.tex, registered manuscript, n.d. Enter Calculus Companion, https://enter.grok.me. Relevant supplied sections: “CE: the original-rod relational lapse” and “An equation and a singularity condition do not select a state.” The five native quantum audit slots are not filled by the inventory.

CheungXVIIIA

N. Cheung, Landmark XVIII-A: Prepared Relational Observables: Non-Determination, Normalization Compatibility, and Conditional Ultraviolet Matching, version 2, -A-v2.tex, registered manuscript, n.d. Enter Calculus Companion, https://enter.grok.me. Relevant supplied locators: :witness, :smoothwitness, :ward, and :release. Pure-trace blind sectors and actual-image normalization criteria.

CheungXIXC

N. Cheung, XIX-C, version 1, -C.tex, registered manuscript, n.d. Enter Calculus Companion, https://enter.grok.me. Relevant supplied locator: :main. Finite scheduled support, residual-versus-record separation, and continuum non-determination.

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. In particular, Theorems 5.2–5.3 and Section 6 give finite-scaling-degree extension results.

HWlocal

S. Hollands and R. M. Wald, “Local Wick polynomials and time ordered products of quantum fields in curved spacetime,” Communications in Mathematical Physics 223 (2001), 289–326. DOI: 10.1007/s002200100540. arXiv:gr-qc/0103074. Compact distributional Wick kernels, smooth ordering transport, and local normalization.

HWexistence

S. Hollands and R. M. Wald, “Existence of local covariant time ordered products of quantum fields in curved spacetime,” Communications in Mathematical Physics 231 (2002), 309–345. DOI: 10.1007/s00220-002-0719-y. arXiv:gr-qc/0111108. Local time-ordered-product construction; not automatic admission of the noncompact Newton insertion.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, Zürich, 2007. DOI: 10.4171/037. arXiv:0806.1036. Normally hyperbolic Cauchy theory and causal Green operators.

BFHPR

R. Brunetti, K. Fredenhagen, T.-P. Hack, N. Pinamonti, and K. Rejzner, “Cosmological perturbation theory and quantum gravity,” Journal of High Energy Physics 08 (2016), 032. DOI: 10.1007/JHEP08(2016)032. arXiv:1605.02573. Relational-coordinate context; no prescription or native insertion identification is imported.