Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric | Paper Citation Record

Observation 809e756f-704f-41c0-a31c-247db117ec47 · outbound

This paper cites Amati, M.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Amati, M

Reference 1

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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 2

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This paper cites It is appropriate to comment that the GUP parameter α is α≈ 0.0133.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric It is appropriate to comment that the GUP parameter α is α≈ 0.0133

Reference 3

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This paper cites To address this, we introduce the invariant distance given by linv = ∫ rH +hS rH dr√ f(r) ≃ 2 √ 2MhS.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric To address this, we introduce the invariant distance given by linv = ∫ rH +hS rH dr√ f(r) ≃ 2 √ 2MhS

Reference 4

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Observation 968a1f23-4ba6-4466-9397-5ad5314d370b · outbound

This paper cites Quantum Geometry and Black Hole Entropy.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Quantum Geometry and Black Hole Entropy

Reference 5

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Observation ce37a4ae-9a2e-48f7-a96e-29d9b779f317 · outbound

This paper cites Amati, M.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Amati, M

Reference 6

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Observation 7b74a971-e7cb-4881-ad34-6717316bcb1f · outbound

This paper cites Konishi, G.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Konishi, G

Reference 7

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Observation ea0ba5e3-8d32-4fab-965d-af7e21116bf7 · outbound

This paper cites Black-hole models in loop quantum gravity.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Black-hole models in loop quantum gravity

Reference 8

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Observation f618d97f-92de-4ebb-aa72-1e71a9c27ff0 · outbound

This paper cites Smolin, Lect.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Smolin, Lect

Reference 9

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Observation 6de1680e-8664-4437-b425-2008c518bf70 · outbound

This paper cites Generalized uncertainty principles and localization in discrete space.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Generalized uncertainty principles and localization in discrete space

Reference 10

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Observation b699c4e2-c078-40ca-a837-2eff81504686 · outbound

This paper cites Hilbert Space Representation of the Minimal Length Uncertainty Relation.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Hilbert Space Representation of the Minimal Length Uncertainty Relation

Reference 11

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Observation 575f9a83-ffc1-4ae0-ab9a-6482a67fcb28 · outbound

This paper cites A Generalized Uncertainty Principle in Quantum Gravity.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric A Generalized Uncertainty Principle in Quantum Gravity

Reference 12

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Observation e34e0d25-f030-417d-b96e-806aabce8c67 · outbound

This paper cites Quantum gravity and minimum length.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Quantum gravity and minimum length

Reference 13

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Observation 8613cc44-cb45-4f1e-8778-d0198868f8e0 · outbound

This paper cites On Gravity and the Uncertainty Principle.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric On Gravity and the Uncertainty Principle

Reference 14

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Observation 847080e5-82a9-4266-92ac-1b59a787dac9 · outbound

This paper cites Minimal Length Uncertainty Relation and Ultraviolet Regularisation.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Minimal Length Uncertainty Relation and Ultraviolet Regularisation

Reference 15

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Observation 453c8f77-f4b0-412a-bd28-147f05618ce3 · outbound

This paper cites Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment

Reference 16

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Observation 30293a90-8d7f-4487-8767-79540a33c64d · outbound

This paper cites The Generalized Uncertainty Principle and Black Hole Remnants.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric The Generalized Uncertainty Principle and Black Hole Remnants

Reference 17

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Observation f939638b-8e18-42a9-a58a-150593184fe1 · outbound

This paper cites Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review

Reference 18

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Observation aa56f560-effa-4517-9628-2d9707d122ec · outbound

This paper cites Universality of Quantum Gravity Corrections.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Universality of Quantum Gravity Corrections

Reference 19

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Observation 1b50dd61-75c4-482b-a606-d096aecdf0ad · outbound

This paper cites Remnant mass and entropy of black holes and modified uncertainty principle.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Remnant mass and entropy of black holes and modified uncertainty principle

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:37.721489Z

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Observation bbb96b63-0731-4c97-a5e4-f7ef1545f360 · outbound

This paper cites Gravitational Uncertainty and Black Hole Remnants.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Gravitational Uncertainty and Black Hole Remnants

Reference 21

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Observation ca2a21c4-8721-45a7-aa41-afa7dde4acff · outbound

This paper cites Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:37.874272Z

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Observation e6c725f8-4cd2-4725-8de5-9e0c5dcd1545 · outbound

This paper cites Black hole entropy without brick walls.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Black hole entropy without brick walls

Reference 23

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Observation cf1e0484-82e5-4f83-891f-ee73e1b37a03 · outbound

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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:40.257721Z

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Observation 38e16c80-097f-48f0-9034-6265c67a535b · outbound

This paper cites ’t Hooft, Nucl.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric ’t Hooft, Nucl

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:42:40.095588Z

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This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:39.608259Z

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Observation bfc4387d-4a01-43d1-87d1-ed6f0f875942 · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 27

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Observation ed79200c-99fb-43c8-8c4e-340e80bdb6fe · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 28

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Observation 1e0bb28d-363f-447b-a000-473be44f001e · outbound

This paper cites This all-order GUP correction in the Planck length is expressed as ∆x∆p≥ ¯h 2eαL2 p ∆p2 ¯h2.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric This all-order GUP correction in the Planck length is expressed as ∆x∆p≥ ¯h 2eαL2 p ∆p2 ¯h2

Reference 29

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Observation b4ce43d8-c24e-4afd-997f-85238b6b2aa9 · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:39.430432Z

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Observation f190c9c7-060e-4d0b-9d28-e372d29ccdfa · outbound

This paper cites Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:37.509413Z

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Observation 0d7db5ef-7643-46a3-886b-cf4b6886545c · outbound

This paper cites Quantum-corrected black hole thermodynamics to all orders in the Planck length.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Quantum-corrected black hole thermodynamics to all orders in the Planck length

Reference 32

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Observation a679aaa8-55f7-4b57-99b1-9b60d58a0ae1 · outbound

This paper cites Entropy of a charged black hole in two dimensions without cutoff.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Entropy of a charged black hole in two dimensions without cutoff

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:37.283705Z

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Observation 2f4abdab-05ed-4fa3-8913-024e04e68ea0 · outbound

This paper cites Entropy of the Schwarzschild black hole to all orders in the Planck length.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Entropy of the Schwarzschild black hole to all orders in the Planck length

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:37.069415Z

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Observation 69c8ce68-da16-4519-8f9b-c393cf842424 · outbound

This paper cites Lifshitz scalar, brick wall method, and GUP in Ho\v{r}ava-Lifshitz Gravity.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Lifshitz scalar, brick wall method, and GUP in Ho\v{r}ava-Lifshitz Gravity

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.931358Z

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Observation b3533631-341f-41eb-984b-f5c82fcf9239 · outbound

This paper cites The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.742552Z

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Observation 7a7b302b-65d2-413e-9f59-37f040ef27e1 · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:39.249464Z

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Observation b1ec5e26-7f9c-469e-b98e-5cb793b77055 · outbound

This paper cites Linear and Quadratic GUP, Liouville Theorem, Cosmological Constant, and Brick Wall Entropy.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Linear and Quadratic GUP, Liouville Theorem, Cosmological Constant, and Brick Wall Entropy

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:31.975283Z

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Observation 6c65f081-61b4-42e2-aa03-7eab655b9260 · outbound

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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:39.035255Z

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Observation f985acb1-a487-429d-aefc-232b3e33711d · outbound

This paper cites GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.541579Z

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Observation 137c95a4-536d-4ade-9063-dc8223fb42d6 · outbound

This paper cites Li, Universe 9, 253 (2023).

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Li, Universe 9, 253 (2023)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:42:38.830029Z

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Observation 59d40ebe-8ad3-45b5-9477-508cb6f71528 · outbound

This paper cites Black holes thermodynamics to all orders in the Planck length in extra dimensions.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Black holes thermodynamics to all orders in the Planck length in extra dimensions

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:32.565310Z

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Observation 3c64fd5c-fa14-4eaa-9139-6a4501a7ae06 · outbound

This paper cites A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:32.765071Z

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Observation 57ebbe03-8d07-4f05-a982-557949ed2cf8 · outbound

This paper cites Generalized Uncertainty Principle: Approaches and Applications.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Generalized Uncertainty Principle: Approaches and Applications

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:32.927387Z

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Observation 9874d110-7d18-4f57-adf0-c0ad78a131d2 · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:38.699048Z

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Observation 33d4b97d-508e-4442-8588-24a9a321d434 · outbound

This paper cites Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.392056Z

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Observation 335fa1b9-07ac-408b-8cbc-726cf4da9da7 · outbound

This paper cites New generalized uncertainty principle with parameter adaptability for the minimum length.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric New generalized uncertainty principle with parameter adaptability for the minimum length

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.291172Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8b6e3f01-331b-4002-ad82-4fb1b0e8e907 · outbound

This paper cites Gravitational Observations and LQGUP.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Gravitational Observations and LQGUP

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:36.122829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f44d2608-78fc-4c40-8c56-824e866af4e9 · outbound

This paper cites Sonnino, Universe 10, 390 (2024).

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Sonnino, Universe 10, 390 (2024)

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:42:38.506777Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e1586268-46d2-45e0-b6c8-6aed4a7827b1 · outbound

This paper cites Gravitational tests of the Generalized Uncertainty Principle.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Gravitational tests of the Generalized Uncertainty Principle

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:33.696465Z

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Observation e5ef7ec1-2653-4f36-8ace-0eb60a832c8c · outbound

This paper cites Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:35.947622Z

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Observation b4961fe4-4b1c-40bd-9f21-11d9db325e2e · outbound

This paper cites Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:35.754109Z

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Observation 5562d62e-122b-4c05-adb5-c38e227efda8 · outbound

This paper cites A Critique on Some Aspects of GUP Effective Metric.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric A Critique on Some Aspects of GUP Effective Metric

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T05:42:34.127261Z

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Observation c32884c4-be79-40dd-b283-9e2d2e6fd4db · outbound

This paper cites Tidal effects based on GUP-induced effective metric.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Tidal effects based on GUP-induced effective metric

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:35.576021Z

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Observation 5cb04181-2189-415f-8b3f-101e971e554a · outbound

This paper cites GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:35.455691Z

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Observation b529d33a-d87f-4380-b623-97c4942cba85 · outbound

This paper cites an unresolved cited work.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:42:38.339350Z

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Observation 4846edfc-06ec-41c1-848b-376901494e7e · outbound

This paper cites On Hawking Radiation as Tunneling with Logarithmic Corrections.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric On Hawking Radiation as Tunneling with Logarithmic Corrections

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:35.259490Z

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Observation 32a4bd52-8f73-40af-a6dd-65d95f228bab · outbound

This paper cites Hawking Radiation as Tunneling through the Quantum Horizon.

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric Hawking Radiation as Tunneling through the Quantum Horizon

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:42:34.955303Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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