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Paper Citation Record · LEDGER

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity

As of 12 August 2026, this Paper Citation Record lists 92 of 92 outbound references and 1 inbound Pith citation observation for arXiv:2601.07102.

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pith.paper-citation-record.v1
2601.07102 v2

Coverage vector

measured 92 of 92 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:19:59.301009Z

measured 93 of 93 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T18:16:28.912021Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-09T06:40:39.010807Z

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92 of 92 outbound references displayed

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Outbound references

Observation 3017ca81-7e85-4e1e-bdae-f301f769f1f7 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 1

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Observation 2e118f7c-97a6-49f0-bc40-dc25b2c080e9 · outbound

This paper cites The thermal response at the photon sphere becomes transparent once the profiles displayed in Fig.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity The thermal response at the photon sphere becomes transparent once the profiles displayed in Fig

Reference 2

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Observation 8c756b34-a314-4e32-8493-692eb1e9ba5f · outbound

This paper cites As already suggested by the radial profiles,P(r, λ) does not decay to zero but instead settles to a constant limit.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity As already suggested by the radial profiles,P(r, λ) does not decay to zero but instead settles to a constant limit

Reference 3

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Observation a9aa225a-6d0b-4e58-9972-aa3507a5a1ca · outbound

This paper cites Rather than keeping the radius as the control variable, the temperature is taken as the driving parameter while the location is held just outside the event horizon.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Rather than keeping the radius as the control variable, the temperature is taken as the driving parameter while the location is held just outside the event horizon

Reference 4

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Observation 45bf3c9a-c2f6-4ca7-a985-a200dff0f42c · outbound

This paper cites Fixing the radius at this location, the expression takes the form lim r→rph U(r, λ) =9 5 π4(λ+ 1) 3/2T 4.(68) The implications of this expression are illustrated in Fig.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Fixing the radius at this location, the expression takes the form lim r→rph U(r, λ) =9 5 π4(λ+ 1) 3/2T 4.(68) The implications of this expression are illustrated in Fig

Reference 5

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Observation bf56ac05-dedd-4d5d-86ab-af5473e3cd11 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 6

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Observation 0ab50731-3a38-419a-9083-70a927bb6420 · outbound

This paper cites The temperature is taken as the driving parameter while the location is held just outside the event horizon.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity The temperature is taken as the driving parameter while the location is held just outside the event horizon

Reference 7

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Observation 663fe4bb-9b23-469f-a57f-9bcd3e4635ab · outbound

This paper cites Fixing the radius at this location, the entropy takes the form lim r→rph S(r, λ) =12 5 π4(λ+ 1) 3/2 T 3.(72) The behavior at the photon orbit is displayed in Fig.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Fixing the radius at this location, the entropy takes the form lim r→rph S(r, λ) =12 5 π4(λ+ 1) 3/2 T 3.(72) The behavior at the photon orbit is displayed in Fig

Reference 8

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Observation 8dc8cba6-e48b-4fe1-8bf9-d39696141d78 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 9

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Observation 6d894d51-307d-4634-92db-4d5d03fdc8f1 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 10

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Observation 2a87d7ea-3159-41db-a865-652693a803fb · outbound

This paper cites In this case, the expression takes the form lim r→rph CV (r, λ) =36 5 π4(1 +λ) 3/2T 3.(76) The thermal profile at the photon orbit is illustrated in Fig.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity In this case, the expression takes the form lim r→rph CV (r, λ) =36 5 π4(1 +λ) 3/2T 3.(76) The thermal profile at the photon orbit is illustrated in Fig

Reference 11

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Observation 996bd20a-48f5-4753-84ce-cf2683333b72 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 12

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Observation 1277810e-ca7b-4209-9b8c-6f46ead13c2f · outbound

This paper cites It is worth emphasizing that possible scattering states in those outer domains are not included in this analysis.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity It is worth emphasizing that possible scattering states in those outer domains are not included in this analysis

Reference 13

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Observation e21a0f6a-5df7-4f3f-93cd-a8815b5d9894 · outbound

This paper cites Spontaneous breaking of lorentz symmetry in string theory,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Spontaneous breaking of lorentz symmetry in string theory,

Reference 14

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Observation 065d942e-cfc2-49f2-8b2d-ccf0e0afcf5f · outbound

This paper cites Noncommutative field theory and lorentz violation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Noncommutative field theory and lorentz violation,

Reference 15

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Observation a610697f-4f10-4012-bcbe-662c66b049e5 · outbound

This paper cites Loop quantum gravity and light propagation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Loop quantum gravity and light propagation,

Reference 16

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Observation c87c8a99-7c29-4484-9631-08d013abc0ac · outbound

This paper cites Massive graviton as a testable cold dark matter candidate,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Massive graviton as a testable cold dark matter candidate,

Reference 17

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Observation d0456c0a-e550-43be-a5ee-068e1f0a5e7c · outbound

This paper cites Quantum gravity at a lifshitz point,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum gravity at a lifshitz point,

Reference 18

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Observation 1488f2e3-68e1-4fc3-80f8-4acb2097cafa · outbound

This paper cites Dark torsion as the cosmic speed-up,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Dark torsion as the cosmic speed-up,

Reference 19

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Observation 4f4fff27-e4c5-4236-b766-1f48cc75cd69 · outbound

This paper cites Very special relativity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Very special relativity,

Reference 20

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Observation 551b5bf8-6b3d-4fa1-afde-e5b7008a014b · outbound

This paper cites Gravity with a dynamical preferred frame,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Gravity with a dynamical preferred frame,

Reference 21

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Observation 7aba850e-9351-4c9d-99d1-3dfbc662f6b9 · outbound

This paper cites Overview of the standard model extension: implications and phenomenology of lorentz violation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Overview of the standard model extension: implications and phenomenology of lorentz violation,

Reference 22

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Observation ba22366c-762e-423a-becb-f73e82aee19c · outbound

This paper cites The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes,

Reference 23

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Observation 6f29a59a-30a9-4ec6-a133-553ecc4174cf · outbound

This paper cites Shadow of slowly rotating Kalb-Ramond black holes.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Shadow of slowly rotating Kalb-Ramond black holes

Reference 24

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Observation 335452e5-5472-4218-a8c7-156e11d0589d · outbound

This paper cites Vacuum solution within a metric-affine bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Vacuum solution within a metric-affine bumblebee gravity,

Reference 25

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Observation aefeab3e-564c-4856-9923-9ec6326db57f · outbound

This paper cites Signals for lorentz violation in post-newtonian gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Signals for lorentz violation in post-newtonian gravity,

Reference 26

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Observation 826cd074-a6f0-4654-b9cc-ebc86c9ca7b0 · outbound

This paper cites An exact stationary axisymmetric vacuum solution within a metric-affine bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity An exact stationary axisymmetric vacuum solution within a metric-affine bumblebee gravity,

Reference 27

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Observation a2480046-7d35-4cb1-87a7-86a2e0fdf985 · outbound

This paper cites Constraints and stability in vector theories with spontaneous lorentz violation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Constraints and stability in vector theories with spontaneous lorentz violation,

Reference 28

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Observation b86ad362-fd0a-49a3-bda5-d1d8a8ee805e · outbound

This paper cites Phenomenological gravitational constraints on strings and higher dimensional theories,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Phenomenological gravitational constraints on strings and higher dimensional theories,

Reference 29

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Observation 866bb1d2-a459-41d0-8be4-1e5af323e6df · outbound

This paper cites Gravitational phenomenology in higher dimensional theories and strings,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Gravitational phenomenology in higher dimensional theories and strings,

Reference 30

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Observation d211ad26-5dec-4d6c-85da-0d5c92437b1f · outbound

This paper cites Gravity, lorentz violation, and the standard model,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Gravity, lorentz violation, and the standard model,

Reference 31

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Observation 2714fb1f-bda4-46b8-bc3f-b62c68b70ce0 · outbound

This paper cites Gravitational waves effects in a lorentz–violating scenario,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Gravitational waves effects in a lorentz–violating scenario,

Reference 32

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Observation d2781ebe-61e1-4ebe-885a-e12e6bf3fe41 · outbound

This paper cites Quantum field theoretic properties of lorentz-violating operators of nonrenor- malizable dimension in the fermion sector,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum field theoretic properties of lorentz-violating operators of nonrenor- malizable dimension in the fermion sector,

Reference 33

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Observation 4ff1b348-2f0d-4a09-a53e-216f583d0b87 · outbound

This paper cites Quantum field theoretic properties of lorentz-violating operators of nonrenor- malizable dimension in the photon sector,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum field theoretic properties of lorentz-violating operators of nonrenor- malizable dimension in the photon sector,

Reference 34

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Observation e184f1a4-7604-4acb-99f3-3d4cfa1773dc · outbound

This paper cites Thermal analysis of photon–like particles in rainbow gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermal analysis of photon–like particles in rainbow gravity,

Reference 35

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Observation 0b13b9d4-ab88-4169-a1a5-42876997eec9 · outbound

This paper cites Lorentz-violating scenarios in a thermal reservoir,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Lorentz-violating scenarios in a thermal reservoir,

Reference 36

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Observation 41051792-6f99-4e2e-8d4a-e752977def0c · outbound

This paper cites Higher-derivative lorentz-breaking dispersion relations: a thermal description,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Higher-derivative lorentz-breaking dispersion relations: a thermal description,

Reference 37

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source=pdf_text observed=2026-08-03T11:19:59.035058Z digest=sha256:c5527f1707e4065ca3b5a4f7126f2d1e7a46e260ac1677f82d847c4606eee68f

Observation d8753f61-5672-4929-bacb-dee11cc72963 · outbound

This paper cites Thermodynamic properties in higher-derivative elec- trodynamics,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermodynamic properties in higher-derivative elec- trodynamics,

Reference 38

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Observation 39dc2854-8e62-4c32-84a1-588126251a89 · outbound

This paper cites an unresolved cited work.

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Reference 39

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Observation 9e609972-cb86-427a-bd45-887af6283753 · outbound

This paper cites How does geometry affect quantum gases?,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity How does geometry affect quantum gases?,

Reference 40

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source=pdf_text observed=2026-08-03T11:19:59.044740Z digest=sha256:17b6286c01315bc760028fdbb1a3029903ae37704a188169e42ff2fcf1efa936

Observation ee38e1f5-6b77-4f8c-91bc-45516141feb3 · outbound

This paper cites Lorentz-violating dimension-five operator contribution to the black body radiation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Lorentz-violating dimension-five operator contribution to the black body radiation,

Reference 41

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source=pdf_text observed=2026-08-03T11:19:59.048416Z digest=sha256:abc848046d5212c0a3c48c4e2b68d882e376a05cb92684601040ffc3a1a6f557

Observation 1dfcea78-a376-441f-a000-ab1febc81849 · outbound

This paper cites Thermal aspects of interacting quantum gases in lorentz-violating scenarios,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermal aspects of interacting quantum gases in lorentz-violating scenarios,

Reference 42

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source=pdf_text observed=2026-08-03T11:19:59.051569Z digest=sha256:0a9e8af202c16d2b2f9b9da71355e534596c4023eec65aef3a2e8957d41ffdf3

Observation 75cde965-29da-43fc-acc3-7d8bf280cc61 · outbound

This paper cites Avoiding singularities in Lorentzian-Euclidean black holes: The role of atemporality,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Avoiding singularities in Lorentzian-Euclidean black holes: The role of atemporality,

Reference 43

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source=pdf_text observed=2026-08-03T11:19:59.054806Z digest=sha256:f3c0f2bac962199de2e7ba646a1cef9bdf8a27f61ff8c7934b3c6c66ddb95575

Observation fa0a678f-2a6d-49fc-8879-3c9e5089a156 · outbound

This paper cites Atemporality from Conservation Laws of Physics in Lorentzian-Euclidean Black Holes,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Atemporality from Conservation Laws of Physics in Lorentzian-Euclidean Black Holes,

Reference 44

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source=pdf_text observed=2026-08-03T11:19:59.057847Z digest=sha256:37cb02f771f5f5a6e9a5ff7b09fff012a5bdb917340d25c286f7520b9216b7a3

Observation 766b0ff4-4f0e-4a11-8315-ce1f165b217f · outbound

This paper cites Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes,

Reference 45

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source=pdf_text observed=2026-08-03T11:19:59.061617Z digest=sha256:a7667da55bda875166e491bbbe54d92bea7f7da7d3d25d3a1428880f62b9ff09

Observation 6f9c1c56-8867-43e8-a09c-35ebb343245a · outbound

This paper cites Black holes with a cosmological constant in bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Black holes with a cosmological constant in bumblebee gravity,

Reference 46

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source=pdf_text observed=2026-08-03T11:19:59.065330Z digest=sha256:603ed61700c1e2cb46be749a2d086a5dbbfa2feff31a3cc682659dbff154819d

Observation faaad5b0-e396-483b-ba61-1de2e68cd8d0 · outbound

This paper cites Bumblebee black holes in light of event horizon telescope observations,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Bumblebee black holes in light of event horizon telescope observations,

Reference 47

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source=pdf_text observed=2026-08-03T11:19:59.068478Z digest=sha256:8bd27e2f4e290beb2bacf80ee70cae0f81cd72a6e08455bf90a60f081ea80755

Observation f43002a2-12e7-47f0-b167-c8683344d71c · outbound

This paper cites Probing vector hair of black holes with extreme- mass-ratio inspirals,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Probing vector hair of black holes with extreme- mass-ratio inspirals,

Reference 48

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source=pdf_text observed=2026-08-03T11:19:59.072033Z digest=sha256:789665fa968c5279d6b9245b7ee79a69a6326cfc1de3c8edb6b7e5a44502a8b5

Observation a084f210-e690-4a80-b3b2-0d0521e63591 · outbound

This paper cites Extended thermodynamics of the bumblebee black holes,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Extended thermodynamics of the bumblebee black holes,

Reference 49

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source=pdf_text observed=2026-08-03T11:19:59.075177Z digest=sha256:0a2d1b64cee56dafa11447509b6194f44a7586d5ca4418ddb1841e9d81c37a1a

Observation ca9d3504-31f0-493f-b8a4-4919c47bdd10 · outbound

This paper cites Static spherical vacuum solutions in the bumblebee gravity model,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Static spherical vacuum solutions in the bumblebee gravity model,

Reference 50

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source=pdf_text observed=2026-08-03T11:19:59.077989Z digest=sha256:4a2d9bf9f69dfdf601a0ed6cf4a48d500dc335dad9f31b902e8ef5febbdf5720

Observation a4d2e670-41bf-4ebc-9d43-55958083bbfc · outbound

This paper cites Exact schwarzschild-like solution in a bumblebee gravity model,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Exact schwarzschild-like solution in a bumblebee gravity model,

Reference 51

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source=pdf_text observed=2026-08-03T11:19:59.081664Z digest=sha256:25f3332176082ec90aa1d2c406289251b76726775acd566da5387bb35bdcd46b

Observation 09518dc4-35a2-449c-8a2b-92529d01d744 · outbound

This paper cites Quasinormal frequencies for a black hole in a bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quasinormal frequencies for a black hole in a bumblebee gravity,

Reference 52

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source=pdf_text observed=2026-08-03T11:19:59.084661Z digest=sha256:cc12fb22cb58b2380555420371c06fd7aaa021db9fa1ea45431cd9ba3c3f2ecb

Observation c3a93065-0b24-4100-a021-ef2c32a99290 · outbound

This paper cites QNMs of slowly rotating Einstein–Bumblebee black 57 hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity QNMs of slowly rotating Einstein–Bumblebee black 57 hole,

Reference 53

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source=pdf_text observed=2026-08-03T11:19:59.087727Z digest=sha256:408ffa9b3f5de965d32a66328953bf0a8455dbb6300813bc5cb833a3ef33cccd

Observation 2855cb2f-15ef-4bf3-948a-20907b1a6140 · outbound

This paper cites Accretion of the vlasov gas onto a schwarzschild-like black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Accretion of the vlasov gas onto a schwarzschild-like black hole,

Reference 54

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source=pdf_text observed=2026-08-03T11:19:59.091165Z digest=sha256:25c9a92b65a717f90222772bf51f4ce8c3ac9943a734812630baa94ea62ce5d6

Observation d5fc4baf-be28-456a-b274-f3242529f96c · outbound

This paper cites Effects of lorentz breaking on the accretion onto a schwarzschild-like black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Effects of lorentz breaking on the accretion onto a schwarzschild-like black hole,

Reference 55

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source=pdf_text observed=2026-08-03T11:19:59.094571Z digest=sha256:dbe7371d114ae2e28b2cf1af3f630fbd8eceabe7f61fd477bb90dcca785b2163

Observation 2335da70-26f8-436f-a495-decdc579a97e · outbound

This paper cites Weak field deflection angle and analytical param- eter estimation of the Lorentz-violating Bumblebee parameter through the black hole shadow using EHT data,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Weak field deflection angle and analytical param- eter estimation of the Lorentz-violating Bumblebee parameter through the black hole shadow using EHT data,

Reference 56

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source=pdf_text observed=2026-08-03T11:19:59.097738Z digest=sha256:3a9dc532b93e58fe682f0c648ee5b2f8d91132924ce475e97379b1c3b9192828

Observation 89ea4666-f3c6-492a-a065-eb82207ff0d0 · outbound

This paper cites Probing Schwarzschild-like black holes in metric-affine bumblebee gravity with accretion disk, deflection angle, greybody bounds, and neutrino propagation,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Probing Schwarzschild-like black holes in metric-affine bumblebee gravity with accretion disk, deflection angle, greybody bounds, and neutrino propagation,

Reference 57

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source=pdf_text observed=2026-08-03T11:19:59.100728Z digest=sha256:4eef63f46981a02a99e9765aa381eee2a9c80639cbddb3a7824483190b03dcba

Observation dcf4038b-a59a-47fe-8448-31beee734a65 · outbound

This paper cites Multimodal signatures of asymptotic (A)dS Kalb–Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Multimodal signatures of asymptotic (A)dS Kalb–Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres,

Reference 58

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source=pdf_text observed=2026-08-03T11:19:59.103885Z digest=sha256:2c91b33848f11028271c12e4aa06b2aed20259f7219c77cfc7dd69f4af2a36bf

Observation 91a16d06-d0ba-4730-8ae6-c33eb6e9126c · outbound

This paper cites Gravitational Aharonov-Bohm phase in Kalb-Ramond space- times,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Gravitational Aharonov-Bohm phase in Kalb-Ramond space- times,

Reference 59

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source=pdf_text observed=2026-08-03T11:19:59.106884Z digest=sha256:0c7539f1104b7728939a465c1b8ccb3686b5fceadca1e7e406586eb79fd901fa

Observation fa206c4c-76de-4306-aea3-cdbe63f03fbf · outbound

This paper cites On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions,

Reference 60

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source=pdf_text observed=2026-08-03T11:19:59.110572Z digest=sha256:c39627756fde285c774530fc8533fc90a1699666954198e7485718b6022a33aa

Observation 77c9e13d-67b0-4e08-8b26-ffe882a59014 · outbound

This paper cites Stability and instability of Ellis and phantom wormholes: Are there ghosts?,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Stability and instability of Ellis and phantom wormholes: Are there ghosts?,

Reference 61

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source=pdf_text observed=2026-08-03T11:19:59.114231Z digest=sha256:6078ca278ab87bd55a3553ebcd08fd916dcb89f6ce0a03a54e8f2101d2b8e247

Observation 5cf0e4d6-4842-491e-921d-2e727d4170a8 · outbound

This paper cites Thermal analysis of photon-like particles in rainbow gravity.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermal analysis of photon-like particles in rainbow gravity

Reference 62

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source=pdf_text observed=2026-08-03T11:19:59.117002Z digest=sha256:a59d7fcf9787c895e4d45cbddf30d9ce490dfa06d0886fdfe65390a04d4248b1

Observation a7c2cea8-490e-449d-ac63-b69d8005da7c · outbound

This paper cites Thermodynamical properties of an ideal gas in a traversable wormhole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermodynamical properties of an ideal gas in a traversable wormhole,

Reference 63

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source=pdf_text observed=2026-08-03T11:19:59.120977Z digest=sha256:0c1fd6122f922b6a1abbb47ffb404d72ed922eb37f5b08a86db89b307d57c5d7

Observation 5d5a835d-4a2b-414e-92c3-5b406ecb284a · outbound

This paper cites Modified particle dynamics and thermo- dynamics in a traversable wormhole in bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Modified particle dynamics and thermo- dynamics in a traversable wormhole in bumblebee gravity,

Reference 64

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source=pdf_text observed=2026-08-03T11:19:59.125191Z digest=sha256:10a3eb379275c153d2f5e4f3be7c6ad39a27c53933013390f673d0e064576eed

Observation 108e7f4a-dfac-4b8d-8000-3a1123a8ce3a · outbound

This paper cites Particle motion and thermal effects around a kalb–ramond black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Particle motion and thermal effects around a kalb–ramond black hole,

Reference 65

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source=pdf_text observed=2026-08-03T11:19:59.128974Z digest=sha256:359d1b52fd86d95e912dd1252942743c064c8e5aa02bb6b5c9f6dc9085958ad5

Observation 818f4345-b39d-4ca6-84bd-b0d6b252e91c · outbound

This paper cites Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity,

Reference 66

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source=pdf_text observed=2026-08-03T11:19:59.132447Z digest=sha256:482370e5f1915747c516d5eb542bb4621addc6d90b72c01024de179fad8c77bf

Observation 0f3976ec-4b5c-4170-bed7-5a993ee45537 · outbound

This paper cites Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS,

Reference 67

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source=pdf_text observed=2026-08-03T11:19:59.136534Z digest=sha256:12dc3608560919e27106eec885ab7a4b473659b58d90215828b9751e01ad84eb

Observation 381ccccc-0207-4b61-8db5-cce750ff6ab8 · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-03T11:19:59.140822Z digest=sha256:537cbe32ff9562d5c17f8162c5f0f727b041f00131270e347d4336ec1df59ec7

Observation 113fc339-7da5-43f2-b14e-536aa8f48baf · outbound

This paper cites an unresolved cited work.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-03T11:19:59.144895Z digest=sha256:fce0290c522d72f4cf6c15ec5e816faf9bb3f2e155cb7114c747e36c03ed9ac5

Observation 3a83246c-b24c-4f5c-884b-be22281e90fe · outbound

This paper cites Elastic scattering of electron by a Yukawa potential in non-commutative space- time,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Elastic scattering of electron by a Yukawa potential in non-commutative space- time,

Reference 70

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source=pdf_text observed=2026-08-03T11:19:59.147809Z digest=sha256:cc925376d9a00a47ca352c9a1c803d34214045ce1ba91e2ef72ecee6f8f297cd

Observation 534dd818-e15b-4ddf-8ecb-87ef0627accf · outbound

This paper cites Applications of the gauss–bonnet theorem to gravitational lensing,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Applications of the gauss–bonnet theorem to gravitational lensing,

Reference 71

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source=pdf_text observed=2026-08-03T11:19:59.150880Z digest=sha256:6df04b4e1ea0f26c5e59fef4333d9f1da8b955e34ae56caa1abaf590a42d8472

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This paper cites Thermodynamics of massless particles in curved spacetime,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Thermodynamics of massless particles in curved spacetime,

Reference 72

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source=pdf_text observed=2026-08-03T11:19:59.154040Z digest=sha256:893199e481e71f1a471d4c8541444d30bf579661cf87e52efd501bdfa83fd461

Observation c253f706-1f8a-4ad8-bb86-3aa59c03487f · outbound

This paper cites Particle motion and thermal effects around a Kalb–Ramond black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Particle motion and thermal effects around a Kalb–Ramond black hole,

Reference 73

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source=pdf_text observed=2026-08-03T11:19:59.157600Z digest=sha256:e2ee2e14778f951619bbd90468f4bd2773ea3f67e2f8d162dcc55cfe343d7973

Observation f413d824-ce35-49fb-acb6-e678da9a278b · outbound

This paper cites Quantum-spacetime phenomenology,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum-spacetime phenomenology,

Reference 74

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Observation 2150cf4a-4d71-446a-8418-03c0f3624f41 · outbound

This paper cites Quantum-spacetime effects on nonrel- ativistic Schr¨ odinger evolution,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum-spacetime effects on nonrel- ativistic Schr¨ odinger evolution,

Reference 75

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Observation 54f49ab7-626d-4941-ab4f-af049913ef45 · outbound

This paper cites Lorentz-violation-induced arrival delays of cosmological particles,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Lorentz-violation-induced arrival delays of cosmological particles,

Reference 76

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Observation f9c61360-0f15-4e37-b89e-bc613822ea03 · outbound

This paper cites Ultrahigh energy cosmic rays: The state of the art before the auger observatory,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Ultrahigh energy cosmic rays: The state of the art before the auger observatory,

Reference 77

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Observation 34b7603e-93b0-4e12-8a4d-5469ba7f79a6 · outbound

This paper cites Greiner, L.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Greiner, L

Reference 78

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Observation 8ba08bd6-7d44-4716-9f8f-da44420971c2 · outbound

This paper cites Isihara,Statistical physics.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Isihara,Statistical physics

Reference 79

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Observation c94096e3-c6ba-43b1-984b-ae5ba013476c · outbound

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Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 80

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Observation bf265d96-211b-489b-8182-92d3fd0be495 · outbound

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Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Unresolved cited work

Reference 81

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Observation ff51bf1f-17f7-43f7-92de-653039c3e1a8 · outbound

This paper cites Statistical thermodynamics,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Statistical thermodynamics,

Reference 82

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Observation 772794e5-8b24-4b78-b0f3-8f054f95e5b7 · outbound

This paper cites Mandl,Statistical physics, vol.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Mandl,Statistical physics, vol

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Observation ba342afc-ae64-43e3-acff-acc9414397b5 · outbound

This paper cites Quantum particle production and radiative properties of a new bumblebee black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Quantum particle production and radiative properties of a new bumblebee black hole,

Reference 84

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Observation b16349c2-0c57-4410-80e7-149ce293beaf · outbound

This paper cites On the Global Casimir Effect in the Schwarzschild Spacetime,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity On the Global Casimir Effect in the Schwarzschild Spacetime,

Reference 85

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Observation 54349c06-b017-4dee-8e07-000cfba767ba · outbound

This paper cites Novel relations and new properties of confluent heun’s functions and their derivatives of arbitrary order,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Novel relations and new properties of confluent heun’s functions and their derivatives of arbitrary order,

Reference 86

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Observation 84924a02-8038-42e8-a958-3ca6e4ccc25a · outbound

This paper cites The klein–gordon equation in the spacetime of a charged and rotating black hole,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity The klein–gordon equation in the spacetime of a charged and rotating black hole,

Reference 87

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Observation eeba34dd-981e-486c-874c-4170451f3d74 · outbound

This paper cites Schwarzschild scalar wigs: spectral analysis and late time behav- ior,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Schwarzschild scalar wigs: spectral analysis and late time behav- ior,

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Observation bde78303-1568-4c87-8265-6fa7dd7c154e · outbound

This paper cites Electromagnetic and gravitational radiation of gravi- atoms,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Electromagnetic and gravitational radiation of gravi- atoms,

Reference 89

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Observation 5252926f-8c33-4e4f-9a58-7496af10a47a · outbound

This paper cites Bound states and decay times of fermions in a schwarzschild black hole background,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Bound states and decay times of fermions in a schwarzschild black hole background,

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Observation c3d289e8-7d7b-4f74-97a1-a55f5f8f47fb · outbound

This paper cites The casimir effect and its applications,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity The casimir effect and its applications,

Reference 91

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Observation 88cdf415-db07-429a-9a82-71bddcd248db · outbound

This paper cites Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs,.

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs,

Reference 92

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Pith citing papers

Observation 02c23a1b-9bd1-4a0c-a0f0-dee9b5d986a6 · inbound

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality cites this paper.

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity

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arxiv_id, observed 2026-07-03T02:17:08.668164Z

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