References

HKLL2006a

A. Hamilton, D. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A boundary view of horizons and locality, Phys.\ Rev.\ D 73, 086003 (2006). arXiv:hep-th/0506118. https://arxiv.org/abs/hep-th/0506118.

HKLL2006b

A. Hamilton, D. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators, Phys.\ Rev.\ D 74, 066009 (2006). arXiv:hep-th/0606141. https://arxiv.org/abs/hep-th/0606141.

BKK2007

C. Bény, A. Kempf, and D. W. Kribs, Generalization of quantum error correction via the Heisenberg picture, Phys.\ Rev.\ Lett.\ 98, 100502 (2007). arXiv:quant-ph/0608071. https://arxiv.org/abs/quant-ph/0608071.

ADH2015

A. Almheiri, X. Dong, and D. Harlow, Bulk locality and quantum error correction in AdS/CFT, JHEP 04 (2015), 163. arXiv:1411.7041. https://arxiv.org/abs/1411.7041.

Pastawski2015

F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence, JHEP 06 (2015), 149. arXiv:1503.06237. https://arxiv.org/abs/1503.06237.

DHW2016

X. Dong, D. Harlow, and A. C. Wall, Reconstruction of bulk operators within the entanglement wedge in gauge-gravity duality, Phys.\ Rev.\ Lett.\ 117, 021601 (2016). arXiv:1601.05416. https://arxiv.org/abs/1601.05416.

RT2006

S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys.\ Rev.\ Lett.\ 96, 181602 (2006). arXiv:hep-th/0603001. https://arxiv.org/abs/hep-th/0603001.

Faulkner2014

T. Faulkner, M. Guica, T. Hartman, R. C. Myers, and M. Van Raamsdonk, Gravitation from entanglement in holographic CFTs, JHEP 03 (2014), 051. arXiv:1312.7856. https://arxiv.org/abs/1312.7856.

CheungI

N. Cheung, I, version 1, manuscript, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locator: thm:stability. Publication date and independent verification are not supplied. Archive description: https://enter.grok.me.

CheungV

N. Cheung, V, version 1, manuscript, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: scope and non-goals; eq:mixedcore; eq:nonlocalcomm. This citation identifies the supplied manuscript, not an independent holographic identification.

CheungVII

N. Cheung, VII-A, VII-E, VII-G, and VII-H, version 1 manuscripts, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: VII-A thm:first; VII-E prop:direction; VII-G thm:locality and the reported fixed-cone finite-model interface; VII-H thm:release. The four manuscripts have distinct models and are grouped here only for the non-premise ledger.

CheungVIII

N. Cheung, VIII-A, VIII-B, and VIII-C, version 2 manuscripts, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: VIII-A A:thm:A1 and A:cor:spectators; VIII-B thm:dictionary and thm:spectators; VIII-C thm:C5. These conical and schedule interfaces are not AdS data.

CheungEn02

N. Cheung, En02-A, En02-B, En02-C, En02-D, and En02-E, manuscripts, n.d. Supplied versions: A–C, version 1; D, version 4; E, version 2. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: A thm:E and the register/Born ledger; B thm:tree and the reported thm:B5; C the reported thm:C2, thm:C3, and supplied thm:C5; D abstract and evidence limitations; E scope, dependency, and evidence statements. No execution of their computational supplements is inferred.

CheungEm03

N. Cheung, Em03-A through Em03-H, manuscripts, n.d. Supplied versions: A and C–G, version 1; B, version 2; H, version 8. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: A–G thm:release; H thm:channels; the supplied packet, source, probe, and evidence limitations. The separate manuscripts are not identified with the finite AdS benchmark of this paper.

CheungEm04

N. Cheung, Em04-A, version 2, manuscript, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locator: thm:release. Source alignment, numerical execution, and compilation are not inferred from that analytical release.

CheungEm05

N. Cheung, Em05-A and Em05-B, version 1 manuscripts, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: Em05-A thm:release; Em05-B revision audit and remaining verification work. Complementary leakage is not an interior-partner construction.

CheungXIV

N. Cheung, XIV-H, XIV-I, and XIV-J, version 1 manuscripts, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: XIV-H thm:H2; XIV-I thm:I2, thm:I3, and thm:release; XIV-J prop:descent, thm:reference, thm:conditionalextension, thm:J2, cor:noadmission, and thm:release. Their supplied partial constructions do not constitute the full inherited characteristic map.

CheungXV

N. Cheung, XV-B, version 1, manuscript, n.d. Enter Calculus Companion; supplied excerpts. Relevant supplied locator: thm:release. The supplied technical interface does not construct or admit the inherited six-branch quantum coefficient.

CheungXVI

N. Cheung, XVI-N and XVI-O, manuscripts, n.d. Supplied versions: XVI-N, r12; XVI-O, o70-sync. Enter Calculus Companion; supplied excerpts. Relevant supplied locators: XVI-N thm:massless-obstruction; XVI-O abstract and the reported kernel-prescription boundaries. XVI-N's Route B is not discharged here, and bulk O.1 remains NOT_CLOSED.