References

Em06A

One declared classical-limit package for a relational observable, and the stops it does not close: Em06-A, a scalar-only coherent limit of the first plateau coefficient. Draft supplied in the conversation, n.d. Relevant formulas: compact scalar test, plateau descent, displaced vacuum mean and variance, and the nonzero preparation-response example. No authorship, publication, or registration metadata beyond the supplied draft are assumed.

CheungVIIA

N. Cheung, Manuscript VII-A, version 1, n.d. Enter Calculus Companion; supplied excerpt. Relevant locator: thm:first, lines 973–1012. Exact first-order plateau repair. The conventions and identities required here are rederived.

CheungVIIB

N. Cheung, Manuscript VII-B, version 1, n.d. Enter Calculus Companion; supplied excerpt. Relevant locator: thm:main, lines 924–985. Sharp-boundary obstruction on its declared joint off-shell domain.

CheungV

N. Cheung, Manuscript V, version 1, n.d. Enter Calculus Companion; supplied excerpts. Relevant locators: eq:mixedcore, eq:nonlocalcomm, and scope/non-goals. External-metric, finite-oscillator, and composed-response objects remain distinct.

CheungVIIH

N. Cheung, Manuscript VII-H, version 1, n.d. Enter Calculus Companion; supplied excerpt. Relevant locator: thm:release, lines 1748–1780. Free massless Wick-square response, finite normalization class $\mathbb{R}\hslash {\delta }_0$, and the reported invariant pairing. Comparison only.

CheungIXA

N. Cheung, Manuscript IX-A, version 1, n.d. Enter Calculus Companion; supplied excerpt. Relevant locator: thm:IX1, lines 1264–1302. Failure of convergence for unchanged regular approximants in the declared boundary-sensitive topology. Comparison only.

CheungXIG

N. Cheung, Manuscript XI-G, version 1, n.d. Enter Calculus Companion; supplied excerpts. Relevant locators: def:class, lines 576–589; thm:criterion, lines 1036–1069; thm:obstruction, lines 1189–1216. The frozen free-shell class obstruction is not altered here.

CheungXIV

N. Cheung, Manuscripts XIV-H, XIV-I, and XIV-J, version 1 manuscripts, n.d. Enter Calculus Companion; supplied excerpts. Relevant locators: XIV-H thm:H2; XIV-I thm:I2, thm:I3; XIV-J thm:J2, cor:noadmission, and thm:release. Grouped only for the non-transfer ledger; not mathematical premises.

CheungXVI

N. Cheung, Manuscripts XVI-N and XVI-O, n.d. Supplied revisions: XVI-N r12; XVI-O o70-sync. Enter Calculus Companion; supplied excerpts. Relevant locators: XVI-N thm:massless-obstruction; XVI-O rem:three-verdicts and status ledger. The separate completion route and bulk O.1 are not discharged.

XVIIA

XVII-A: One boundary reconstruction is not holographic emergence. Supplied file XVII-A.tex, n.d. Finite-matrix massless-scalar benchmark on an assumed ${\mathrm{AdS}}_2$ background. No publication or registration metadata are inferred.

Dossier

Em06-B development plan and accompanying manuscript-comparison dossier. Material supplied with the question, n.d. In particular, the added VII-I/VII-J theorem-label descriptions are summary-level comparison material, not full independently audited source proofs. Other finite-model and repair-route descriptions are used only to record non-premise boundaries.

Glauber

R. J. Glauber, Coherent and incoherent states of the radiation field, Physical Review 131 (1963), 2766–2788. doi:10.1103/PhysRev.131.2766.

Hepp

K. Hepp, The classical limit for quantum mechanical correlation functions, Communications in Mathematical Physics 35 (1974), 265–277. doi:10.1007/BF01646348.

Nelson

E. Nelson, Analytic vectors, Annals of Mathematics (2) 70 (1959), 572–615. doi:10.2307/1970331.

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.

ANphase

Z. Ammari and F. Nier, Mean field limit for bosons and infinite dimensional phase-space analysis, Annales Henri Poincaré 9 (2008), 1503–1574. doi:10.1007/s00023-008-0393-5. arXiv:0711.4128. General semiclassical background, not a premise of the observable-specific estimates.

ANgeneral

Z. Ammari and F. Nier, Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. arXiv:1003.2054. Comparison for broader state classes and the distinction between Weyl and Wick calculi in infinite dimension.

ANpropagation

Z. Ammari and F. Nier, Mean field limit for bosons and propagation of Wigner measures, Journal of Mathematical Physics 50 (2009), 042107. doi:10.1063/1.3115046. arXiv:0807.3108. Dynamical comparison only.

BenArous

G. Ben Arous, K. Kirkpatrick, and B. Schlein, A Central Limit Theorem in Many-Body Quantum Dynamics. arXiv:1111.6999. Dynamical fluctuation comparison only; the present fluctuation identities are fixed-input exact conjugations.