References

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. Especially :s0nil, :gfnorm, :Ghb, :freeBRST, :ghost, :breaking, :matter, :upgrade, :reciprocity, :Dsigned, :obstruction, :inventory, :fish, :nullWF, and :conditional.

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 three source coefficients, typed commutator, sum-zero admission, and direct tree identity. Its variational interpretation is separately qualified by X-G.

XE

N. Cheung, Landmark X-E: A specified gravitational action for the ramp relational scalar, and the first graviton tree. -E.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/X-E. Einstein–Hilbert normalization, free graviton operator, matter tree, and one-tree truncation defect.

XC

N. Cheung, Landmark X-C: The missing second-order retarded maps for the ramp relational scalar, with the metric kept classical. -C-v3.tex, version 3. Enter Calculus Companion. https://enter.grok.me/browse/X-C. Completed scalar insertion and its counting.

XFST

N. Cheung, X-F-ST: Three fixed-width retarded trees and the background identity. Supplied -F-ST.tex. Supported predecessor source, including the equation-level response interpretation, typed commutator, compact graviton-slot representative, and variational audit. No registration is inferred.

XEST

N. Cheung, X-E-ST: Einstein–Hilbert normalization and one matter-induced tree. Supplied -E-ST.tex. Action normalization, supported matter tree, corrected scalar support, and truncation audit.

STRecords

N. Cheung, X-A-ST: Supported classical covariance of a fixed-ramp relational scalar; X-C-ST: Second-order scalar completion on the inherited X-A-ST/X-B-ST host; and X-D-ST: The sharp-width limit of the completed scalar tests. Version-specific predecessor source records. The X-B-ST adaptation is a separate predecessor record. Host instance, completed representatives, and scalar compact-test topology are retained without importing a sharp metric-admission theorem.

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 host, worldsheet, clock calibration, complete locality, and regular transport.

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. Characterization within its stated structural class; contextual attribution only.

EnterPhilosophy

N. Cheung, The Philosophy of Enter: Destructive Readout, Quantum Recovery, and the Refusal of Identification. Introductory essay, Enter Calculus Companion. https://enter.grok.me/enter. Interpretive background, not a gravitational or BRST premise.

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 reference-stable instrument, consumption, and separate dynamical hypotheses.

En08A

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

En08B

N. Cheung, En08-B. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/En08-B. Resource-controlled reference-preserving transport relative to a prescribed null boundary.

En10

N. Cheung, En10-A. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/En10-A. Separate finite source-weight estimation under a declared access contract.

VIIE

N. Cheung, VII-E. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/VII-E. Complete scheduled-support and observation interfaces.

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 Green operators; applied here on the Minkowski completion.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory. arXiv:1208.1428, version 2, 2013. https://arxiv.org/abs/1208.1428. Free functional and retarded-product frameworks. No missing nonlocal interacting map is imported.

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 extension framework, used only for the stated local fish interface.

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-gravity and BV framework; not an automatic completion theorem for the source-switched nonlocal observable.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, second edition, Springer, 1990; Classics in Mathematics reprint, 2003. Distributional kernels and wavefront product, pullback, and pushforward calculus.

Watrous

J. Watrous, The Theory of Quantum Information. Cambridge University Press, 2018. Finite instruments, completely bounded trace norm, and channel comparison.

FreeComparisons

N. Cheung, VII-I, version 1, and XI-B, version 1. Enter Calculus Companion. https://enter.grok.me/browse/VII-I; https://enter.grok.me/browse/XI-B. Different prepared free-algebra and auxiliary–ghost constructions; comparison only.

VIIC

N. Cheung, VII-C: The mixed-Wick obstruction for the sharp Cauchy sector. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/VII-C. Its exact sharp insertion, Wick matrix, topology, and mandatory-word hypotheses remain distinct.

XVIA

N. Cheung, XVI-A. Version 1, Enter Calculus Companion. https://enter.grok.me/browse/XVI-A. Conditional retarded-slot wavefront interface and formal noncancellation audit; no subtraction or missing coefficient is supplied.

XVIO

N. Cheung, XVI-O. Revision o70-sync, version-specific supplied record, Enter Calculus Companion. https://enter.grok.me/browse/XVI-O. Kernel-subsector result under its stated prescription, not bulk BV restoration or closure of O.1.

ComparisonRecords

N. Cheung, IX-A, version 1; IX-D, version 3; XI-A, XI-B, XI-G, X-A-conv, and X-Enter, version 1; with the version-specific IX-A-ST and IX-D-ST adaptation records. Enter Calculus Companion. https://enter.grok.me/browse. Documentary domain, normalization, and product separation controls; not construction premises.

EmRecords

N. Cheung, Em01-B and Em01-C, version 3. Version-specific supplied records, Enter Calculus Companion. https://enter.grok.me/browse. Separate smoothing-growth and aligned-null diagnostic comparisons.

BoundaryRecords

N. Cheung, XIV-H, XIV-I, and XIV-J, version 1; technical XV-B, version 2; and XVI-N, revision r12. Version-specific supplied records, Enter Calculus Companion. https://enter.grok.me/browse. Historical H2, the narrower internal amplitude, missing full I3/J2 maps, and downstream admission boundaries remain distinct.

FiniteComparisons

N. Cheung, Oai279-A, Oai283-A, Oai272-A, Oai276-A, Oai119-A, Oai212-A, and Oai365-A. Version 1, version-specific supplied records, Enter Calculus Companion. https://enter.grok.me/browse. Finite circuit, channel, information, and operational comparison interfaces; no proof transfer into the continuum multiplet or nonlocal loop.

OpenAICatalogue

OpenAI, Mathematics catalogue. Supplied documentary descriptions of families 282, 362, 376, 265, and 271. Separate catalogue attribution only. No catalogue proof is independently verified or used as a premise.