References

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. Especially the typed covariance identity, background-gauge commutator, three source coefficients, sum-zero calculus, graviton-slot ideal, direct identity, and flat-gauge comparison. The stronger variational terminology is qualified in the present paper.

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. Action normalization, Palatini variation, free operator, matter response, and one-tree defect.

XEST

N. Cheung, X-E-ST: Einstein–Hilbert normalization and one matter-induced tree. Supplied -E-ST.tex. Fixed-width supported predecessor, including corrected scalar support, three-slot matter admission, and the truncation audit. No external registration is inferred.

XDST

N. Cheung, X-D-ST: The sharp-width limit of the completed scalar tests. Supplied -D-ST.tex. Fixed-support topology, closed scalar equation subspace, reduction identities, and the separate classical-background scalar sharp limit.

XG

N. Cheung, Landmark X-G. -G.tex, version 1. Version-specific supplied excerpts and correction record, Enter Calculus Companion. https://enter.grok.me/browse/X-G. Retarded-solution versus variational-Møller distinction, completed support, and ordering-data audit. No successor loop construction is imported.

XAST

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

XBST

X-B-ST: One scalar retarded map on the X-A-ST host. Version-specific predecessor adaptation record. Scalar map, off-shell insertion convention, and one-contraction boundary; no general time-ordered hierarchy is imported.

XCST

N. Cheung, X-C-ST: Second-order scalar completion on the inherited X-A-ST/X-B-ST host. Version-specific predecessor source record. Completed representatives, affine slot, scalar-pair counting, and background identity.

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.

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 and worldsheet, finite clock, calibration, 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 full stated class; contextual attribution, not a premise of the tree proof.

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 construction theorem.

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, Green operators, and their causal extensions; used on the 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 microcausal functionals, Wick products, and dynamical equation relations. No renormalized interaction hierarchy is imported.

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. Tensor products, distributional kernels, wavefront products, and pushforwards.

BDH

C. Brouder, N. V. Dang, and F. Hélein, “Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker),” Studia Mathematica 232 (2016), 201–226. https://doi.org/10.4064/sm8316-3-2016. Normal-topology continuity and hypocontinuity interfaces.

VIIC

N. Cheung, Landmark VII-C: The mixed-Wick obstruction for the sharp Cauchy sector. -C.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/VII-C. Comparison only, retaining its exact product, topology, and mandatory-word hypotheses.

VIIE

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

En08A

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

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.

En09

N. Cheung, En09-A: Realization of Relational Time by Destructive Enter on a Clock Register. 09-A.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/En09-A. Complete instrument identity, untouched references, conditioning, and separate dynamical hypotheses.

En10A

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; not supplied by an installed tree-evaluation table.

Watrous

J. Watrous, The Theory of Quantum Information. Cambridge University Press, 2018. Complete finite channels, instruments, and diamond-norm comparisons.

XVIA

N. Cheung, XVI-A. -A.tex, version 1. Enter Calculus Companion. https://enter.grok.me/browse/XVI-A. Conditional retarded-slot wavefront interface, not a constructed subtraction or a replacement for a missing coefficient.

ComparisonRecords

N. Cheung, VII-I, version 1; IX-A, version 1; IX-D, version 3; IX-E, version 1; XI-G, version 1; and X-Enter, version 1. Also the version-specific IX-A-ST and IX-D-ST adaptation records. Enter Calculus Companion. https://enter.grok.me/browse. Documentary separation controls, not analytical inputs to the three-tree proof.

EmRecords

N. Cheung, Em01-B, version 3; Em01-C, version 3; and Em02-D, version 4. Version-specific supplied excerpts, Enter Calculus Companion. https://enter.grok.me/browse. Separate polynomial-growth, aligned-null diagnostic, and raw-family asymptotic records.

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 manuscript 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.

OpenAICatalogue

OpenAI, Mathematics catalogue. Supplied documentary descriptions of families 282, 362, and 376 in the Enter Calculus Companion. Comparison-only attribution. No catalogue proof is independently verified or used as a premise.