References

HameroffPenrose

S. Hameroff and R. Penrose, Consciousness in the universe: a review of the “Orch OR” theory. Physics of Life Reviews 11 (2014), 39–78. https://doi.org/10.1016/j.plrev.2013.08.002.

Penrose

R. Penrose, On gravity's role in quantum state reduction. General Relativity and Gravitation 28 (1996), 581–600. https://doi.org/10.1007/BF02105068.

Diosi

L. Diósi, Models for universal reduction of macroscopic quantum fluctuations. Physical Review A 40 (1989), 1165–1174. https://doi.org/10.1103/PhysRevA.40.1165.

Tegmark

M. Tegmark, Importance of quantum decoherence in brain processes. Physical Review E 61 (2000), 4194–4206. https://doi.org/10.1103/PhysRevE.61.4194.

Hagan

S. Hagan, S. R. Hameroff, and J. A. Tuszyński, Quantum computation in brain microtubules: decoherence and biological feasibility. Physical Review E 65 (2002), 061901. https://doi.org/10.1103/PhysRevE.65.061901.

Riberi

F. Riberi, L. M. Norris, F. Beaudoin, and L. Viola, Frequency estimation under non-Markovian spatially correlated quantum noise. New Journal of Physics 24 (2022), 103011. https://doi.org/10.1088/1367-2630/ac92a2. Author manuscript with extended title, arXiv:2204.10798. https://arxiv.org/abs/2204.10798.

GKS

V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of $N$-level systems. Journal of Mathematical Physics 17 (1976), 821–825. https://doi.org/10.1063/1.522979.

Lindblad

G. Lindblad, On the generators of quantum dynamical semigroups. Communications in Mathematical Physics 48 (1976), 119–130. https://doi.org/10.1007/BF01608499.

Watrous

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

Shirokov

M. E. Shirokov, Energy-constrained diamond norms and their use in quantum information theory. Problems of Information Transmission 54 (2018), 20–33. https://doi.org/10.1134/S0032946018010027. https://arxiv.org/abs/1706.00361.

DaviesLewis

E. B. Davies and J. T. Lewis, An operational approach to quantum probability. Communications in Mathematical Physics 17 (1970), 239–260. https://doi.org/10.1007/BF01647093.

PollockProcess

F. A. Pollock, C. Rodríguez-Rosario, T. Frauenheim, M. Paternostro, and K. Modi, Non-Markovian quantum processes: complete framework and efficient characterization. Physical Review A 97 (2018), 012127. https://doi.org/10.1103/PhysRevA.97.012127.

PollockMarkov

F. A. Pollock, C. Rodríguez-Rosario, T. Frauenheim, M. Paternostro, and K. Modi, Operational Markov condition for quantum processes. Physical Review Letters 120 (2018), 040405. https://doi.org/10.1103/PhysRevLett.120.040405.

Clerk

A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification. Reviews of Modern Physics 82 (2010), 1155–1208. https://doi.org/10.1103/RevModPhys.82.1155.

Lieb

E. H. Lieb, Sharp constants in the Hardy–Littlewood–Sobolev and related inequalities. Annals of Mathematics 118 (1983), 349–374. https://doi.org/10.2307/2007032.

Hoeffding

W. Hoeffding, Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association 58 (1963), 13–30. https://doi.org/10.1080/01621459.1963.10500830.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis. Second edition, Springer, 1990. Section 8.2 and the distributional support theorems.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization. European Mathematical Society, 2007. https://arxiv.org/abs/0806.1036.

BrunettiFredenhagen

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://doi.org/10.1007/s002200050004. https://arxiv.org/abs/math-ph/9903028.

Dang

N. V. Dang, The extension of distributions on manifolds, a microlocal approach. Annales Henri Poincaré 17 (2016), 819–859. https://doi.org/10.1007/s00023-015-0419-8. https://arxiv.org/abs/1412.2808.

FredenhagenRejzner

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory. Lecture notes, arXiv:1208.1428v2, 2013. https://arxiv.org/abs/1208.1428v2. Cited for functional domains and deformation quantization, not for an unverified inherited graph extension.

Khan

S. Khan et al., Microtubule-stabilizer epothilone B delays anesthetic-induced unconsciousness in rats. eNeuro 11, no. 8 (2024), ENEURO.0291-24.2024. https://doi.org/10.1523/ENEURO.0291-24.2024.

CheungSpinChains

N. Cheung, Transient entanglement in minimal open XXZ spin chains: a toy-model analogy for microtubule-inspired quantum biology. Frontiers in Psychiatry 17 (2026), 1855963. Published 11 August 2026. https://doi.org/10.3389/fpsyt.2026.1855963. Not a biological identification of the present code.

CheungPsy02A

N. Cheung, Psy02-A: Conditional scalar-carrier bounds and operational separation: a mathematical framework for evaluating Orch-OR hypotheses. Undated manuscript, Psy02-A.tex, supplied in full.

CheungEm04A

N. Cheung, Manuscript Em04-A, Em04-A-v2.tex, version 2, undated. Supplied thm:reduction, lines 345–381, and release excerpt. Enter Calculus Companion; documentary excerpt record.

CheungEm06B

N. Cheung, Manuscript Em06-B, Em06-B-v1.tex, version 1, undated. Supplied displaced-state, fluctuation, ordered-Weyl, and commuting family records, including lines 923–1045. Enter Calculus Companion; documentary excerpt record.

CheungVIIH

N. Cheung, Manuscript VII-H, VII-H.tex, version 1, undated. Supplied free massless Wick-square response and normalization ledger, including lines 602–660. Enter Calculus Companion; separate model and ambiguity class.

CheungVIIJ

N. Cheung, Manuscript VII-J, VII-J.tex, version 1, undated. Supplied thm:nosignal, lines 373–417, and causal-support release. Enter Calculus Companion; documentary excerpt record.

CheungVIIIC

N. Cheung, Manuscript VIII-C, VIII-C-v2.tex, version 2, undated. Supplied thm:C5, lines 1512–1566. Prescribed finite support theorem; documentary excerpt record.

CheungEn01B

N. Cheung, Manuscript En01-B, En01-B-v2.tex, version 2, undated. Supplied thm:width, lines 1215–1266, and thm:contrast, lines 1518–1562. Calibration and orientation hypotheses are retained.

CheungEn01C

N. Cheung, Manuscript En01-C, En01-C.tex, version 1, undated. Supplied thm:prep, lines 1032–1073; thm:certificate, lines 1658–1723; and implementation ledger, lines 1859–1947.

CheungXIIA

N. Cheung, Manuscript XII-A, XII-A-v2.tex, version 2, undated. Supplied proof ledger and final decision, lines 1805–1888. Full-shell carrier release reported; its complete defining source was not supplied.

CheungXIIC

N. Cheung, Landmark XII-C: One declared cubic weighting: actual Euler source, changed Noether identity, and the coupled-jet question. XII-C.tex, version 1, undated. Title recorded in the supplied bibliography. Supplied thm:actualsource, lines 718–760, and the historical unconstructed completion slot, lines 1277–1296.

CheungXIID

N. Cheung, Manuscript XII-D, XII-D.tex, version 1, undated. Supplied response, lines 488–528; two-leg insertion, lines 638–651; compact root, lines 710–756; and signed response law, lines 1139–1164. No unavailable descriptive title is inferred.

CheungXIIE

N. Cheung, Landmark XII-E: Assembly of the second-order relational coefficient after admission of the density-weighted cubic insertion. XII-E.tex, version 1, undated. Title recorded in the supplied bibliography. Supplied XII-D handoff, lines 317–370; insertion sign, lines 651–673; assembled variation, lines 782–800; tree support and admission records; scalar-sourced slot, lines 1227–1253.

CheungXIIIC

N. Cheung, Landmark XIII-C: The joint two-line extension of one selected binary pair, on the unchanged carrier. XIII-C.tex, version 1, undated. Supplied ambiguity class, lines 440–474; eleven-branch inventory, lines 534–560; primitive extension, lines 989–1028; and unresolved joint verdict, lines 1049–1070. The full joint prescription is not supplied by these excerpts.

CheungXIIIE

N. Cheung, Manuscript XIII-E, XIII-E.tex, version 1, undated. Supplied finite-regulator construction, lines 700–728; admissible-domain convergence, lines 812–844; remaining E1 obligations, lines 861–875; and selected-attempt release, lines 1261–1299. Alternative route, not an imported completed characteristic limit.

CheungXIVH

N. Cheung, Landmark XIV-H: Internal kernel relations on the operator route. XIV-H.tex, version 1, undated. Title recorded in the supplied bibliography. Source incidence, lines 760–807; coordinate kernel, lines 974–1016; both $K_5$ placements, lines 1217–1284; transition geometry, lines 1489–1545; H2 verdict, lines 1621–1664; release, lines 1929–1977.

CheungXIVI

N. Cheung, Landmark XIV-I: Uniform internal retarded amplitudes at the diagonal–flow-out transition. XIV-I.tex, version 1, undated. Title recorded in the supplied bibliography. Fixed pole, lines 808–908; I2 and precomposition records, lines 1370–1460; I3 verdict, lines 1541–1630; release and handoff, lines 1811–1988. Full amplitude-module definitions and estimates were not supplied.

CheungXIVJ

N. Cheung, Manuscript XIV-J, XIV-J.tex, version 1, undated. Supplied descent, lines 895–928; null presentation, lines 935–965; supported reference, lines 1297–1381; conditional coefficient interface, lines 1509–1552; J2 verdict, lines 1690–1731; release, lines 1976–2021. No full characteristic map or quantum admission is reported.

CheungXVB

N. Cheung, Manuscript XV-B, XV-B.tex, version 1, undated. Supplied relative-lifting criterion, lines 629–676; source status, lines 405–434; and release, lines 1431–1493. The release retains the inherited full map as unresolved at B1, continuing J2; the abstract interface is not its construction.

CheungXIVA

N. Cheung, Manuscript XIV-A, XIV-A.tex, version 1, undated. Supplied relative master equation, lines 969–997; carrier boundary, lines 1039–1056; and front-matter scope. Classical relative branch; not an analytic graph input.

CheungXIVB

N. Cheung, Manuscript XIV-B, XIV-B.tex, version 1, undated. Supplied field-space clarification, lines 457–491; free-shell ghost theorem, lines 751–786; no-interacting-differential corollary, lines 788–802; and release, lines 1045–1079. The exact graded action and any resolution theorem require the complete source.