Paper Citation Record · LEDGER

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary

As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.09504.

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pith.paper-citation-record.v1
1908.09504 v4

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T11:14:58.489586Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 84135872-2388-4ac2-9dfe-c3c3688b55b4 · outbound

This paper cites Structure of globally hyperbolic spacetimes with timelike boundary.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Structure of globally hyperbolic spacetimes with timelike boundary

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.921459Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8ced53d2-0417-43ac-bba0-a80cf737ecf7 · outbound

This paper cites Bachelot, ``New boundary conditions on the time-like conformal infinity of the Anti-de Sitter universe'', Comptes Rendus Mathematique, 350 (2012) 359.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Bachelot, ``New boundary conditions on the time-like conformal infinity of the Anti-de Sitter universe'', Comptes Rendus Mathematique, 350 (2012) 359

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.106913Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a6972156-d5f5-4927-b97d-d259e1a38920 · outbound

This paper cites Green-hyperbolic operators on globally hyperbolic spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Green-hyperbolic operators on globally hyperbolic spacetimes

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.310660Z

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Observation 4ec47883-e53a-4849-9b7e-fb4954cb8ddf · outbound

This paper cites In: de Snoo, H.S.V.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary In: de Snoo, H.S.V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.094477Z

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Observation d32af417-886c-4aaf-9830-eb2f0f29177a · outbound

This paper cites A C*-algebra for quantized principal U(1)-connections on globally hyperbolic Lorentzian manifolds.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary A C*-algebra for quantized principal U(1)-connections on globally hyperbolic Lorentzian manifolds

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.890388Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8be5677a-9fb7-4bb5-86a5-9e5b9790ba67 · outbound

This paper cites Algebraic quantum field theory on spacetimes with timelike boundary.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Algebraic quantum field theory on spacetimes with timelike boundary

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.873345Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 58248fc6-6c32-4ec6-984e-5f63a254bbd6 · outbound

This paper cites Quantized Abelian principal connections on Lorentzian manifolds.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Quantized Abelian principal connections on Lorentzian manifolds

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.856720Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af794f77-2425-4319-9453-6a76c817beb3 · outbound

This paper cites Optimal space of linear classical observables for Maxwell $k$-forms via spacelike and timelike compact de Rham cohomologies.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Optimal space of linear classical observables for Maxwell $k$-forms via spacelike and timelike compact de Rham cohomologies

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.841794Z

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Observation 2c516a9c-6db7-45fd-8064-086fc4e603fd · outbound

This paper cites ar, N. Ginoux and F. Pf\.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary ar, N. Ginoux and F. Pf\

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.082163Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3ff2c9b1-7f42-4e65-a1ee-3fd6eff1ec8a · outbound

This paper cites an unresolved cited work.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:14:59.071403Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8dc183a7-fff9-4937-b2ae-5be2fc15607e · outbound

This paper cites The generally covariant locality principle -- A new paradigm for local quantum physics.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary The generally covariant locality principle -- A new paradigm for local quantum physics

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.349521Z

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Observation ea616c9f-f4fd-4d88-8da3-0ed321350d1f · outbound

This paper cites Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.813038Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bdf835ce-cde8-49b0-a960-65a9c95c842f · outbound

This paper cites On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.792701Z

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Observation 66d4efd4-8690-4094-8f19-9b527e22fb15 · outbound

This paper cites Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.772723Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ce81a365-7b43-4982-b984-4bf9a55f882c · outbound

This paper cites Quantization of Maxwell's equations on curved backgrounds and general local covariance.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Quantization of Maxwell's equations on curved backgrounds and general local covariance

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.370328Z

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Observation e369bd43-a4f9-4ef7-a8cc-784c056b42c6 · outbound

This paper cites Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.375887Z

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Observation db64a83d-9819-413e-be29-3e9d17126343 · outbound

This paper cites An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.732597Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 34c6d547-84d3-45c7-83f3-1eac70f1df60 · outbound

This paper cites Dimock, ``Quantized electromagnetic field on a manifold,'' Rev.\ Math.\ Phys.\ 4 (1992) 223.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Dimock, ``Quantized electromagnetic field on a manifold,'' Rev.\ Math.\ Phys.\ 4 (1992) 223

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.058625Z

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Observation 78f54fe9-db33-4d4c-aeff-dfa0575c9cda · outbound

This paper cites A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.715770Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 79628966-d81a-4cd5-85f0-ef9750d28130 · outbound

This paper cites A Quantum Weak Energy Inequality for Spin-One Fields in Curved Spacetime.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary A Quantum Weak Energy Inequality for Spin-One Fields in Curved Spacetime

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.698866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c13bdc61-9ad9-4046-b815-311f328b9902 · outbound

This paper cites Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.681176Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a2caf297-f6a4-4b18-9ae8-144c3d8cf56d · outbound

This paper cites The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.663683Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 44838f61-f55c-401c-9ee8-91cab319b6af · outbound

This paper cites Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.646800Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9c7c461f-432b-4a05-afe2-cee8e3c0f902 · outbound

This paper cites Grubb, ``A characterization of the non-local boundary value problems associated with an elliptic operator'', Ann.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Grubb, ``A characterization of the non-local boundary value problems associated with an elliptic operator'', Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.046211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c634230-fbba-476d-b2b0-ea0220536660 · outbound

This paper cites Linear bosonic and fermionic quantum gauge theories on curved spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Linear bosonic and fermionic quantum gauge theories on curved spacetimes

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.420231Z

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Observation c93ef9e3-7c01-4f11-a9e5-e6d68a24cc86 · outbound

This paper cites Asymptotic properties of linear field equations in anti-de Sitter space.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Asymptotic properties of linear field equations in anti-de Sitter space

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.424419Z

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Observation 45c8e0eb-8fc8-4f01-902b-61cfc706f5e6 · outbound

This paper cites Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.603860Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5337a998-1341-4d09-8541-e859d423c2d8 · outbound

This paper cites Husem\"oller, Fibre Bundles, (1994), Springer, 356p.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Husem\"oller, Fibre Bundles, (1994), Springer, 356p

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.034260Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5f981ffa-22c5-4d03-8910-287e7682e5fd · outbound

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On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:14:59.021891Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 35ba59e2-878c-4ca4-9b05-a50f4fbbf3e1 · outbound

This paper cites Lee Introduction to Smooth Manifolds, 2nd ed.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Lee Introduction to Smooth Manifolds, 2nd ed

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:59.009790Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e3de548a-2643-4586-9e7c-354d2ddf15bf · outbound

This paper cites Malamud, ``On a formula for the generalized resolvents of a non-densely defined Hermitian operator,'' Ukr.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Malamud, ``On a formula for the generalized resolvents of a non-densely defined Hermitian operator,'' Ukr

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:58.997074Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1012d2f6-2ac1-4f1a-b964-ed9fde341b38 · outbound

This paper cites Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.452135Z

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Unavailable: canonical work link unavailable.

Observation 884076f5-4912-4457-8eda-a6144d1fead8 · outbound

This paper cites an unresolved cited work.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:14:58.983462Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0fd0e794-dc0b-4a41-b44c-50703bc6eb12 · outbound

This paper cites Quantization of the Maxwell field in curved spacetimes of arbitrary dimension.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Quantization of the Maxwell field in curved spacetimes of arbitrary dimension

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T11:14:58.460508Z

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Unavailable: canonical work link unavailable.

Observation e76500df-63b2-4500-8330-aa8780c9c52d · outbound

This paper cites Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.561797Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b3512ea7-f671-4448-89ab-d697e20b7fc0 · outbound

This paper cites Schwarz, Hodge Decomposition - A Method for Solving Boundary Value Problems, (1995) Springer, 154p.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Schwarz, Hodge Decomposition - A Method for Solving Boundary Value Problems, (1995) Springer, 154p

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:58.971821Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c4b01930-67b5-4e5a-bbf5-2aa619cad463 · outbound

This paper cites Vasy ``The wave equation on asymptotically anti de sitter spaces'' , Analysis and PDE, 5 (2012) 81.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Vasy ``The wave equation on asymptotically anti de sitter spaces'' , Analysis and PDE, 5 (2012) 81

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:58.958590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 18631158-dbfb-4051-bc3a-e455e31cea7b · outbound

This paper cites The holographic Hadamard condition on asymptotically Anti-de Sitter spacetimes.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary The holographic Hadamard condition on asymptotically Anti-de Sitter spacetimes

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.547110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ff836f1d-b359-4767-8ab9-3fd3a5978c52 · outbound

This paper cites Wrochna, J.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Wrochna, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:14:58.943219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23e015ec-c4c6-417d-8dac-22f377fee58c · outbound

This paper cites Generalized Wentzell boundary conditions and quantum field theory.

On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary Generalized Wentzell boundary conditions and quantum field theory

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:14:58.530774Z

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