Paper Citation Record · LEDGER

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.13351.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.13351 v1

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Pith citing papers itemized under the disclosed page cap.

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Outbound references

Observation 05bc905a-0ffe-45e6-97c1-77b6e8468a7a · outbound

This paper cites The Stress-Energy Operator.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Stress-Energy Operator

Reference 1

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Observation c1ea0459-32bb-4bcf-ab8c-0b7ad8afa4d5 · outbound

This paper cites Quantum Fields at Any Time.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Fields at Any Time

Reference 2

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Observation 98a9de4a-321d-4ae9-b378-f9c41af79592 · outbound

This paper cites Functional Evolution of Free Quantum Fields.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Functional Evolution of Free Quantum Fields

Reference 3

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Observation b418bf0a-1e8d-4c59-bba2-05bb228a129d · outbound

This paper cites A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:58.705521Z

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Observation 01759fbe-31f9-4fc1-9913-0fc1c4ab174e · outbound

This paper cites Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time

Reference 5

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Observation 940863bc-0636-4111-a4ea-64a1e38522c2 · outbound

This paper cites Unitarity and ultraviolet regularity in cosmology.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Unitarity and ultraviolet regularity in cosmology

Reference 6

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Observation 58c21216-b37b-44db-b494-ab1b82f2f007 · outbound

This paper cites Bogoliubov transformation and Schr¨ odinger representation on curved space,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Bogoliubov transformation and Schr¨ odinger representation on curved space,

Reference 7

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Observation e125e14d-ea2b-4aa8-8a78-ed93c22c0323 · outbound

This paper cites Hadamard, Lectures on Cauchy’s problem in linear partial differential equations.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Hadamard, Lectures on Cauchy’s problem in linear partial differential equations

Reference 8

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Unresolved cited work

Reference 9

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Observation 27e9d80e-346b-4e5b-936b-f046c5a14b61 · outbound

This paper cites The Dynamics of General Relativity.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Dynamics of General Relativity

Reference 10

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Observation cce90b2c-5f97-40e0-9cc7-592b04d59396 · outbound

This paper cites Quantum Field Theory in Curved Spacetime (2nd Edition).

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Field Theory in Curved Spacetime (2nd Edition)

Reference 11

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Observation 00c64384-a541-459a-8eae-30c0e24a5894 · outbound

This paper cites Nonviolent unitarization: basic postulates to soft quantum structure of black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Nonviolent unitarization: basic postulates to soft quantum structure of black holes

Reference 12

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Observation 040f07f7-4641-47f8-b291-53c0fa43c72e · outbound

This paper cites Schr\"odinger evolution of the Hawking state.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Schr\"odinger evolution of the Hawking state

Reference 13

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Observation 8f78511a-d2b2-4213-8790-b575fd48a6cf · outbound

This paper cites Quantum evolution of the Hawking state for black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum evolution of the Hawking state for black holes

Reference 14

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Observation 7c7972ea-b1ab-4ca9-a9b7-38163648bac8 · outbound

This paper cites Representations of the commutation relations,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Representations of the commutation relations,

Reference 15

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Observation fba429a5-4d58-4144-8ca5-e4d154da9f77 · outbound

This paper cites Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?

Reference 16

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Observation ac0fa58f-ff02-4b05-b556-ea9e622f4949 · outbound

This paper cites Berndt, An introduction to symplectic geometry.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Berndt, An introduction to symplectic geometry

Reference 17

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This paper cites Quantum Fields in Curved Space-Times,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Fields in Curved Space-Times,

Reference 18

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This paper cites A curiosity concerning the role of coherent states in quantum field theory,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations A curiosity concerning the role of coherent states in quantum field theory,

Reference 19

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This paper cites Bose Bogoliubov transformations,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Bose Bogoliubov transformations,

Reference 20

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Recursive Construction of the Bosonic Bogoliubov Vacuum State,

Reference 21

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Observation c84d6308-d5b0-4c31-85f2-b30dc6c8827f · outbound

This paper cites Existence of the S-matrix in quantum field theory in curved space-time,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Existence of the S-matrix in quantum field theory in curved space-time,

Reference 22

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This paper cites Linear Symmetries of Free Boson Fields,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Linear Symmetries of Free Boson Fields,

Reference 23

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This paper cites On Quantum Field Theory in Gravitational Background,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On Quantum Field Theory in Gravitational Background,

Reference 24

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Generally Covariant Quantum Field Theory and Scaling Limits,

Reference 25

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This paper cites On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On the Derivation of Hawking Radiation Associated With the Formation of a Black Hole,

Reference 26

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Micro-local approach to the Hadamard condition in quantum field theory on curved space-time,

Reference 27

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This paper cites Weinberg, The quantum theory of fields , vol.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Weinberg, The quantum theory of fields , vol

Reference 28

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension,

Reference 29

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This paper cites Quantum Field Theory in Curved Spacetime.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Quantum Field Theory in Curved Spacetime

Reference 30

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This paper cites Can Locally Hadamard Quantum States Have Nonlocal Singularities?,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Can Locally Hadamard Quantum States Have Nonlocal Singularities?,

Reference 31

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Radzikowski, The Hadamard Condition and Kay’s Conjecture in (axiomatic) Quantum Field Theory on Curved Space-Time

Reference 32

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This paper cites Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,

Reference 33

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This paper cites Singularity structure of the two-point function in quantum field theory in curved spacetime, II,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Singularity structure of the two-point function in quantum field theory in curved spacetime, II,

Reference 34

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Singularity Structure of the Two Point Function in Quantum Field Theory in Curved Space-Time,

Reference 35

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The Formulation of Quantum Field Theory in Curved Spacetime

Reference 36

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Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Parker and D

Reference 37

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This paper cites Adiabatic invariant of the harmonic oscillator,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Adiabatic invariant of the harmonic oscillator,

Reference 38

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This paper cites Particle Creation by Black Holes,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Particle Creation by Black Holes,

Reference 39

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This paper cites On Particle Creation by Black Holes,.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations On Particle Creation by Black Holes,

Reference 40

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Observation 41933a40-f03e-4865-97e4-5b1cfcb71366 · outbound

This paper cites Perturbative quantum evolution of the gravitational state and dressing in general backgrounds.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Perturbative quantum evolution of the gravitational state and dressing in general backgrounds

Reference 41

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This paper cites Schr\"odinger evolution of two-dimensional black holes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Schr\"odinger evolution of two-dimensional black holes

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.900036Z

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Observation 3e6a0eed-a2fa-47e4-977a-855d03b5e01b · outbound

This paper cites Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Reference 43

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Observation 33a0298d-556d-4904-b718-beecbba5a7b2 · outbound

This paper cites Haag, Local quantum physics: Fields, particles, algebras.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Haag, Local quantum physics: Fields, particles, algebras

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:30:59.075093Z

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Observation e2234c63-3db7-477d-9ad5-bf389446c918 · outbound

This paper cites Diffeomorphism-invariant observables and their nonlocal algebra.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations Diffeomorphism-invariant observables and their nonlocal algebra

Reference 45

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Observation 1d1d4fcd-668e-4d9d-a696-3d9c74afaeea · outbound

This paper cites The information paradox and the locality bound.

Challenges for describing unitary evolution in nontrivial geometries: pictures and representations The information paradox and the locality bound

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:30:57.827471Z

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Pith citing papers

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