References

XXA

XX-A: Original-Rod Lapse: Classical Freeze and Quantum Admission Contract, anonymous draft supplied in the present manuscript exchange, -A.tex, n.d. The independently frozen power-law original-rod variant. No registered authorship, compilation, or independent verification is inferred.

CheungEm02E

N. Cheung, Em02-E, version 1, supplied registered manuscript record, 02-E-v1.tex, n.d. Enter Calculus Companion. Relevant supplied locators: :lapse, :release, “The quantum input gate and the first contraction target,” and “Checks that prevent false quantum conclusions.” Original inflaton-slice harmonic rods and incomplete quantum audit.

CheungXVIIIA

N. Cheung, Landmark XVIII-A: Prepared Relational Observables: Non-Determination, Normalization Compatibility, and Conditional Ultraviolet Matching, version 2, supplied registered manuscript record, -A-v2.tex, n.d. Enter Calculus Companion. Relevant supplied locators: :witness, :smoothwitness, :hbar, :ward, and :release. Pure-trace, formal-order, and actual-counterterm-image controls.

CheungXIXC

N. Cheung, XIX-C, version 1, supplied registered manuscript record, -C.tex, n.d. Enter Calculus Companion. Finite incidence registers, scheduled support, and continuum non-determination. Relevant supplied locators: :limit, :two-limits, and “A local checklist, not an authentication of C1–C7.”

CheungXIXD

N. Cheung, XIX-D, version 1, supplied registered manuscript record, -D.tex, n.d. Enter Calculus Companion. Relevant supplied locators: :slots, :target, :repair, and “CE: the original-rod relational lapse.” Same-target quantum-certificate discipline.

CheungXVIQ

N. Cheung, XVI-Q, release Q11, supplied registered manuscript record, -Q.tex, n.d. Enter Calculus Companion. Relevant supplied locators: :o1, :qds, :insertion, and :package. Narrow bulk two-point closure report and explicit nontransfer qualifications.

Hack

T.-P. Hack, “Quantization of the linearised Einstein–Klein–Gordon system on arbitrary backgrounds and the special case of perturbations in inflation,” Classical and Quantum Gravity 31 (2014), 215004. DOI: 10.1088/0264-9381/31/21/215004. arXiv:1403.3957. Coupled linearized field and gauge framework; its particular realization is not substituted for this one.

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-observable context; no native rod or covariance identification is imported.

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. Theorem 3.2.11 and Corollary 3.4.3: Cauchy well-posedness and unique causal Green operators for normally hyperbolic bundle operators.

IS

O. Islam and A. Strohmaier, “On microlocalisation and the construction of Feynman propagators for normally hyperbolic operators,” Communications in Analysis and Geometry 32 (2024), 1811–1883. DOI: 10.4310/CAG.241204020919. arXiv:2012.09767. Theorems 1.2 and 1.4: bundle-valued distinguished parametrices and exact Hadamard bisolutions. Positivity for an indefinite gauge-fixed pairing is not imported.

FS

C. J. Fewster and A. Strohmaier, “On the construction of Hadamard states from Feynman propagators,” arXiv:2510.11492. Primary research account of the additional positivity conditions in passing from Feynman propagators to states. No physical-state result for the present gauge theory is inferred.

BFR

R. Brunetti, K. Fredenhagen, and K. Rejzner, “Quantum gravity from the point of view of locally covariant quantum field theory,” Communications in Mathematical Physics 345 (2016), 741–779. DOI: 10.1007/s00220-016-2676-x. arXiv:1306.1058. Perturbative gravity and BV context, not a native lapse admission or ultraviolet-completeness theorem.

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. Local Wick-product framework; not automatic admission of an instantaneous nonlocal rod composite.