References

XGST

N. Cheung, X-G-ST: Free causal BRST compatibility and a variational upgrade obstruction. Supplied -G-ST.tex. Normalized free multiplet, Green matrix, switched breaking, supported reciprocity witness, and the distinction between free causal compatibility and an interacting quantum differential.

XG

N. Cheung, Landmark X-G: The normalized BRST multiplet and the one-loop background gate: proved compatibility conditions, an exact-upgrade obstruction, and the remaining nonlocal extension problem. -G.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/X-G. Principal free normalization, source-versus-variation distinction, reciprocity obstruction, and local fish interface.

XFST

N. Cheung, X-F-ST: Three fixed-width retarded trees and the background identity. Supplied -F-ST.tex. Equation-level response, typed commutator, three-tree identity, support and variational audit. No registration is inferred.

XF

N. Cheung, {Landmark X-F: The second-order quantum metric as the retarded Møller response, and the closure of the ${\kappa }^2$ background identity}. -F.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/X-F. The direct tree mechanism is retained; the stronger variational terminology is qualified by X-G.

XAST

N. Cheung, X-A-ST: Supported classical covariance of a fixed-ramp relational scalar. Version-specific predecessor source record. Inherited supported host, chart, completion, signature ledger, fixed-width prescription, and plateau algebra.

IB

N. Cheung, I-B: A Finite Enter Spacetime: Calibrated Destructive Time Readout on a Prescribed Conical Product. -B-v1.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/I-B. Prescribed conical host and worldsheet, complete clock instrument, calibration, scheduled locality, and regular finite transport.

EnterPhilosophy

N. Cheung, The Philosophy of Enter: Destructive Readout, Quantum Recovery, and the Refusal of Identification. -v2.tex, version 2. Introductory essay, Enter Calculus Companion. https://enter.grok.me/enter. Interface orientation, not a gravitational or BV construction premise.

EnterI

N. Cheung, Manuscript I: Finite operational characterization of destructive measurement in the Enter calculus. .tex, version 2. Enter Calculus Companion. https://enter.grok.me/browse/I. Contextual attribution within its full stated structural class; no abbreviated characterization is used here.

En09

N. Cheung, En09-A: Realization of Relational Time by Destructive Enter on a Clock Register. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/En09-A. Complete destructive instrument, untouched references, conditioning, consumption, and separate dynamical hypotheses.

En03

N. Cheung, Observation Boundaries for Destructive Quantum Readout and External Geometry. 03-A.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/En03-A. Prescribed scheduled blocks, complete interfaces, and locality bounds.

VIIE

N. Cheung, VII-E. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/VII-E. Prescribed schedule locality and observation interfaces.

En08A

N. Cheung, En08-A. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/En08-A. Scheduler consistency versus geometric cone reconstruction.

En08B

N. Cheung, Resource-controlled operational approximation of null boundary transport. 08-B.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/En08-B. Reference-preserving finite SWAP transport relative to supplied geometry and operational permissions.

FRBV

K. Fredenhagen and K. Rejzner, “Batalin–Vilkovisky formalism in the functional approach to classical field theory,” Communications in Mathematical Physics 314 (2012), 93–127. https://arxiv.org/abs/1101.5112. Classical functional BV framework and its domain distinctions.

RejznerBV

K. Rejzner, BV quantization in perturbative algebraic QFT: Fundamental concepts and perspectives. arXiv:2004.14272. https://arxiv.org/abs/2004.14272. Classical and quantum BV distinctions, Møller maps, and anomalous master-Ward interfaces.

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. https://arxiv.org/abs/1306.1058. External perturbative quantum-gravity framework; not an automatic construction of the frozen source-switched nonlocal observable.

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. Finite-scaling-degree extensions, used for the stated local fish interface only.

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. https://arxiv.org/abs/0806.1036. Cauchy theory, finite propagation, and causal Green operators on the declared completion.

Watrous

J. Watrous, The Theory of Quantum Information. Cambridge University Press, 2018. Author's manuscript: https://jhwatrous.github.io/books-and-courses.html. Complete finite channels, instruments, and diamond-norm comparison.

XVIN

N. Cheung, XVI-N. Revision r12, version-specific supplied record. Enter Calculus Companion. https://enter.grok.me/browse/XVI-N. Separate prepared-insertion and antifield-linear completion obstruction; not discharged here.

BoundaryRecords

N. Cheung, XIV-H, XIV-I, and XIV-J, version 1; technical XV-B, version 2; and the supplied O.1 standing-boundary records. Enter Calculus Companion. Version-specific excerpts supplied with the request. Historical H2, the narrower internal-amplitude advance, missing full I3/J2 maps, and downstream admission requirements remain distinct. No characteristic coefficient is admitted by the present local classical construction.

OpenAICatalogue

OpenAI, Mathematics catalogue. Supplied documentary catalogue descriptions, recorded separately in the Enter Calculus Companion. Comparison only. No catalogue theorem is used or independently verified here.