References

CheungPhilosophy

N. Cheung, The Philosophy of Enter: Destructive Readout, Quantum Recovery, and the Refusal of Identification, EntPhil, version 2. Enter Calculus Companion. Introductory exposition, not a theorem premise. https://enter.grok.me/enter.

CheungEnter

N. Cheung, “The Enter Calculus: A Linear Quantum Lambda Calculus with an Operational Characterization of Measurement.” Frontiers in Physics, volume 14 (2026). Publisher abstract record: accepted 28 September 2026; final formatted version described there as forthcoming. DOI https://doi.org/10.3389/fphy.2026.1954943.

CheungI

N. Cheung, Manuscript I, version 2. Enter Calculus Companion. Supplied finite measurement-characterization record. https://enter.grok.me/browse/I.

Hawk05A

Hawk05-A: Enter, Page-Type Entropy Turnover, and the Classical-Record Obstruction. Supplied Hawk05-A.tex, dated 15 October 2026. Author field unspecified. The obsolete reversed-weight flagged-leakage equation is not adopted.

Hawk05B

Hawk05-B: A Finite Page-Curve Derivation under the Enter Discipline. Supplied Hawk05-B.tex, version 1. Author field unspecified. Finite Haar, record, and channel-separation proxy.

CheungHawk01B

N. Cheung, Hawk01-B, version 1. Enter Calculus Companion. Supplied endpoint and entropy-history separation records. https://enter.grok.me/browse/Hawk01-B.

CheungHawk02B

N. Cheung, Hawk02-B: Hamiltonian-Derived Emission and Quantitative Recovery in a Finite Evaporation Model, version 2. Enter Calculus Companion. Supplied single- and multi-cell calibration records. https://enter.grok.me/browse/Hawk02-B.

CheungHawk02C

N. Cheung, Hawk02-C, version 2. Enter Calculus Companion. Supplied autonomous source-field comparison; not a gravitational Hamiltonian identification. https://enter.grok.me/browse/Hawk02-C.

CheungHawk03A

N. Cheung, Hawk03-A, version 1. Enter Calculus Companion. Supplied complete-complement, independent-factor, and partner comparisons. https://enter.grok.me/browse/Hawk03-A.

CheungHawk04D

N. Cheung, Hawk04-D: From Finite Enter Interfaces to Conditional Evaporation Certificates: Controlled Limits, Mass Laws, and Quantum Recovery, version 1. Enter Calculus Companion. Supplied cutoff clock, complete-channel budgets, endpoint obligations, and finite recurrence. https://enter.grok.me/browse/Hawk04-D.

CheungEn07A

N. Cheung, En07-A, version 1. Enter Calculus Companion. Supplied readout-and-drop and prop:no-landauer-from-channel records. https://enter.grok.me/browse/En07-A.

CheungEn07B

N. Cheung, En07-B, version 1. Enter Calculus Companion. Supplied access-preserving endpoint certificate. https://enter.grok.me/browse/En07-B.

CheungEn05C

N. Cheung, En05-C, version 1. Enter Calculus Companion. Supplied tensor-free snapshot–channel–adjoint comparison. https://enter.grok.me/browse/En05-C.

CheungEn02B

N. Cheung, En02-B, version 1. Enter Calculus Companion. Supplied finite resource-certified decoder soundness and benchmark-specific workspace statements. https://enter.grok.me/browse/En02-B.

CheungEn02C

N. Cheung, En02-C, version 1. Enter Calculus Companion. Supplied sequential soundness and streaming benchmark. https://enter.grok.me/browse/En02-C.

CheungEn02D

N. Cheung, En02-D, version 4. Enter Calculus Companion. Supplied prepared turnover and transmission-dependent recovery comparisons. https://enter.grok.me/browse/En02-D.

CheungEn02E

N. Cheung, En02-E, version 2. Enter Calculus Companion. Supplied finite-mode Gaussian restriction and cutoff records. https://enter.grok.me/browse/En02-E.

CheungEm03A

N. Cheung, Em03-A, version 1. Enter Calculus Companion. Supplied fixed-background scalar emission law, thm:main. https://enter.grok.me/browse/Em03-A.

CheungEm03B

N. Cheung, Em03-B, version 2. Enter Calculus Companion. Supplied geometric packet marginal and apparatus-model transfer; not a local Schwarzschild receiver. https://enter.grok.me/browse/Em03-B.

CheungEm03F

N. Cheung, Em03-F, version 1. Enter Calculus Companion. Supplied entanglement-breaking source-to-packet comparison. https://enter.grok.me/browse/Em03-F.

CheungEm03G

N. Cheung, Em03-G, version 1. Enter Calculus Companion. Supplied ordered source and coherent-decoder comparisons. https://enter.grok.me/browse/Em03-G.

CheungEm05B

N. Cheung, Em05-B, version 1. Enter Calculus Companion. Supplied exact constant-complement criterion. https://enter.grok.me/browse/Em05-B.

CheungOai265A

N. Cheung, Oai265-A, version 2. Enter Calculus Companion. Supplied static-record, spectrum, recovery, and temporal separation. Documentary comparison only. https://enter.grok.me/browse/Oai265-A.

CheungOai290A

N. Cheung, Oai290-A, version 1. Enter Calculus Companion. Supplied whole-code, named-effect, and implemented-channel certificate distinctions. https://enter.grok.me/browse/Oai290-A.

CheungXIVI

N. Cheung, XIV-I, version 1. Enter Calculus Companion. Supplied I2 construction and I3 boundary. https://enter.grok.me/browse/XIV-I.

CheungXIVJ

N. Cheung, XIV-J, version 1. Enter Calculus Companion. Supplied reconstruction descent, supported-sector reference, and J2 boundary. https://enter.grok.me/browse/XIV-J.

CheungXVB

N. Cheung, XV-B, version 2. Enter Calculus Companion. Supplied relative-lifting and extension interfaces; the inherited graph-specific map remains unresolved. https://enter.grok.me/browse/XV-B.

CheungXVIN

N. Cheung, XVI-N, version r12. Enter Calculus Companion. Supplied conditional massless special-family obstruction and undischarged universal obligation. https://enter.grok.me/browse/XVI-N.

PageAverage

D. N. Page, “Average entropy of a subsystem.” Physical Review Letters 71 (1993), 1291–1294. DOI https://doi.org/10.1103/PhysRevLett.71.1291. https://arxiv.org/abs/gr-qc/9305007.

Sen

S. Sen, “Average entropy of a subsystem.” Physical Review Letters 77 (1996), 1–3. DOI https://doi.org/10.1103/PhysRevLett.77.1. https://arxiv.org/abs/hep-th/9601132.

PageTime

D. N. Page, “Time dependence of Hawking radiation entropy.” Journal of Cosmology and Astroparticle Physics 2013(09), 028. DOI https://doi.org/10.1088/1475-7516/2013/09/028. https://arxiv.org/abs/1301.4995.

PageEmission

D. N. Page, “Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole.” Physical Review D 13 (1976), 198–206. DOI https://doi.org/10.1103/PhysRevD.13.198.

Bekenstein

J. D. Bekenstein, “Black holes and entropy.” Physical Review D 7 (1973), 2333–2346. DOI https://doi.org/10.1103/PhysRevD.7.2333.

Hawking

S. W. Hawking, “Particle creation by black holes.” Communications in Mathematical Physics 43 (1975), 199–220. DOI https://doi.org/10.1007/BF02345020.

Watrous

J. Watrous, The Theory of Quantum Information. Cambridge University Press, 2018. Author's manuscript: https://cs.uwaterloo.ca/ watrous/TQI/.

KnillLaflamme

E. Knill and R. Laflamme, “Theory of quantum error-correcting codes.” Physical Review A 55 (1997), 900–911. DOI https://doi.org/10.1103/PhysRevA.55.900.

KSW

D. Kretschmann, D. Schlingemann, and R. F. Werner, “The information-disturbance tradeoff and the continuity of Stinespring's representation.” IEEE Transactions on Information Theory 54 (2008), 1708–1717. DOI https://doi.org/10.1109/TIT.2008.917696. https://arxiv.org/abs/quant-ph/0605009.

HorodeckiShorRuskai

M. Horodecki, P. W. Shor, and M. B. Ruskai, “Entanglement breaking channels.” Reviews in Mathematical Physics 15 (2003), 629–641. DOI https://doi.org/10.1142/S0129055X03001709. https://arxiv.org/abs/quant-ph/0302031.

Audenaert

K. M. R. Audenaert, “A sharp continuity estimate for the von Neumann entropy.” Journal of Physics A: Mathematical and Theoretical 40 (2007), 8127–8136. DOI https://doi.org/10.1088/1751-8113/40/28/S18. https://arxiv.org/abs/quant-ph/0610146.

Baumgratz

T. Baumgratz, M. Cramer, and M. B. Plenio, “Quantifying coherence.” Physical Review Letters 113 (2014), 140401. DOI https://doi.org/10.1103/PhysRevLett.113.140401. https://arxiv.org/abs/1311.0275.

SymmetryPage

S. Murciano, P. Calabrese, and L. Piroli, “Symmetry-resolved Page curves.” Physical Review D 106 (2022), 046015. DOI https://doi.org/10.1103/PhysRevD.106.046015. https://arxiv.org/abs/2206.05083.

ChenPetz

C.-F. Chen, G. Penington, and G. Salton, “Entanglement wedge reconstruction using the Petz map.” Journal of High Energy Physics 2020(01), 168. DOI https://doi.org/10.1007/JHEP01(2020)168. https://arxiv.org/abs/1902.02844.

CotlerRecovery

J. Cotler, P. Hayden, G. Penington, G. Salton, B. Swingle, and M. Walter, “Entanglement wedge reconstruction via universal recovery channels.” Physical Review X 9 (2019), 031011. DOI https://doi.org/10.1103/PhysRevX.9.031011.

NullInfinity

A. Laddha, S. G. Prabhu, S. Raju, and P. Shrivastava, “The holographic nature of null infinity.” SciPost Physics 10 (2021), 041. DOI https://doi.org/10.21468/SciPostPhys.10.2.041. https://arxiv.org/abs/2002.02448.

Penington

G. Penington, Entanglement Wedge Reconstruction and the Information Paradox. arXiv:1905.08255. External gravitational comparison, not a premise identifying the proxy. https://arxiv.org/abs/1905.08255.

IslandReview

A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “The entropy of Hawking radiation.” Reviews of Modern Physics 93 (2021), 035002. DOI https://doi.org/10.1103/RevModPhys.93.035002. https://arxiv.org/abs/2006.06872.

ReebWolf

D. Reeb and M. M. Wolf, “An improved Landauer principle with finite-size corrections.” New Journal of Physics 16 (2014), 103011. DOI https://doi.org/10.1088/1367-2630/16/10/103011. https://arxiv.org/abs/1306.4352.