References

Sriramkumar2001

L. Sriramkumar, Fluctuations in the current and energy densities around a magnetic-flux-carrying cosmic string, Classical and Quantum Gravity 18 (2001), 1015–1025. DOI: 10.1088/0264-9381/18/6/304. https://arxiv.org/abs/gr-qc/0011074. Used for the explicit current comparison: equations (2.10), (2.12), (2.13), and (A2).

SitenkoVlasii2009

Yu. A. Sitenko and N. D. Vlasii, Induced vacuum current and magnetic field in the background of a cosmic string, Classical and Quantum Gravity 26 (2009), 195009. DOI: 10.1088/0264-9381/26/19/195009. https://arxiv.org/abs/0909.0405. Historical and analytical context; its Maxwell response is not imported.

Bezerra2015

E. R. Bezerra de Mello, V. B. Bezerra, A. A. Saharian, and H. H. Harutyunyan, Vacuum currents induced by a magnetic flux around a cosmic string with finite core, Physical Review D 91 (2015), 064034. DOI: 10.1103/PhysRevD.91.064034. https://arxiv.org/abs/1411.1258. Cited for the distinction between idealized and finite-core current problems.

BalakumarWinstanley

V. Balakumar and E. Winstanley, Hadamard renormalization for a charged scalar field, Classical and Quantum Gravity 37 (2020), 065004. DOI: 10.1088/1361-6382/ab6b6e. https://arxiv.org/abs/1910.03666. Used for charged point splitting and the current renormalization ambiguity, especially equation (5.6).

KleinZahn

C. Klein and J. Zahn, Renormalized charged scalar current in the Reissner–Nordström–de Sitter spacetime, Physical Review D 104 (2021), 025009. DOI: 10.1103/PhysRevD.104.025009. https://arxiv.org/abs/2104.06005. Cited for local gauge-covariant current point splitting and its conserved-current ambiguity, not for its black-hole state.

KayStuder

B. S. Kay and U. M. Studer, Boundary conditions for quantum mechanics on cones and fields around cosmic strings, Communications in Mathematical Physics 139 (1991), 103–139. DOI: 10.1007/BF02102731.

Watson

G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd edition, Cambridge University Press, 1944.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, 2nd edition, Springer, 1990. Used for elliptic regularity of distributional solutions.

MorreyNirenberg

C. B. Morrey, Jr., and L. Nirenberg, On the analyticity of the solutions of linear elliptic systems of partial differential equations, Communications on Pure and Applied Mathematics 10 (1957), 271–290. DOI: 10.1002/cpa.3160100204.

Wald1994

R. M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, University of Chicago Press, 1994. Cited for the spectral one-particle and quasifree construction; no global-hyperbolicity theorem is applied to the entire regular cone.

Cheung companion records. The following unpublished manuscripts and supplied excerpts are cited by identifier, version, and source label. Documentary use does not assert independent verification of an entire record, publication, compiler execution, or formal proof checking.

CheungPhilosophy

N. Cheung, The Philosophy of Enter: Destructive Readout, Quantum Recovery, and the Refusal of Identification, version 2, -v2.tex, Enter Calculus Companion. Introductory philosophical map, not a theorem premise. https://enter.grok.me/enter.

CheungIB

N. Cheung, I-B-v1: A Finite Enter Spacetime: Calibrated Destructive Time Readout on a Prescribed Conical Product, version 1, Enter Calculus Companion. Used: the prescribed host, :instrument, and :not-source. https://enter.grok.me/browse/I-B.

CheungIBG

N. Cheung, I-B-G: Intrinsic and holonomy-twisted Green operators on a prescribed conical spacetime: Self-adjoint extensions, diffraction, finite propagation, and supported transfer from flat-completion laboratories, version 2, October 2026. Supplied source -B-G-v2.tex, Enter Calculus Companion. Used: :host, :product, :positivity, :closed, :Phi, :structure, :transfer, and :transfer-contract.

CheungIBVP

N. Cheung, I-B-VP: Vacuum polarization of the Friedrichs ground state on a prescribed conical spacetime: Local Hadamard subtraction, holonomy, and the renormalized stress tensor, version 2, October 2026. Supplied source -B-VP-v2.tex, Enter Calculus Companion. Used: :infrared, :euclidean, :state, :analytic, :hadamard, :phi2, :T-complex, and :contour. Its current-evaluation item V4 is the specific successor target addressed here.

CheungXAST

N. Cheung, X-A-ST, version 1, Enter Calculus Companion. Used: :signature-ledger, :noeinstein, and the supported-completion scope. https://enter.grok.me/browse/X-A-ST.

CheungXBST

N. Cheung, X-B-ST: One scalar retarded map on the X-A-ST host, version 1, Enter Calculus Companion. Used: :host, :supported, and the equation/Hessian normalization and retained-shadow distinctions. https://enter.grok.me/browse/X-B-ST.

CheungXCST

N. Cheung, X-C-ST: Second-order scalar completion on the inherited X-A-ST/X-B-ST host, version 1, Enter Calculus Companion. Cited for compact intermediate-source support obligations and unchanged product boundaries. https://enter.grok.me/browse/X-C-ST.

CheungXIE

N. Cheung, XI-E, version 1, Enter Calculus Companion. Supplied excerpts: :domain and :star. Its declared polynomial Hadamard product domain is not a positive-state selection or a conical interacting construction. https://enter.grok.me/browse/XI-E.

CheungO1ST

N. Cheung, XVI-O1-ST, version 5, -O1-ST-v5.tex, Enter Calculus Companion. Used for the complete supplied-report interface and the integrity-aware distinction between proof, retained discrepancy, and execution evidence. No unrelated closure status is imported. https://enter.grok.me/browse/XVI-O1-ST.

CheungEn09

N. Cheung, En09-A, version 1, Enter Calculus Companion. Supplied source excerpts concerning destructive finite reporting, record–residual separation, and standing non-identifications. https://enter.grok.me/browse/En09-A.

CheungOai282A

N. Cheung, Oai282-A, version 1, Enter Calculus Companion. Used for the finite-test/coverage distinction identified by :coverage and :invisible in the supplied companion material. No external catalogue theorem is used as a premise. https://enter.grok.me/browse/Oai282-A.