Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T23:33:58.183782Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 1 inbound Pith citation observation for arXiv:2607.03845.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T23:33:58.183782Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-08T17:36:38.462998Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-08T17:45:12.567813Z
95 of 95 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4c06d5c0-0a13-4268-87b1-67261fa11d9f · outbound
Quantum tunneling Mpemba effect hot” system to reach the vacuum state faster than the “cold
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5ab3e0e-cff1-4390-9fbe-3cfcaac76148 · outbound
Quantum tunneling Mpemba effect Crucially, as an operator equation, it must strictly retain the off-diagonal coherence terms (k ̸= j)
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation edecb269-fcdb-459a-be55-93e5fbd3b02d · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f0f69e4-6b52-482a-8408-f65c7f8eacb3 · outbound
Quantum tunneling Mpemba effect Consequently, the Boltzmann factors approach unity uniformly across the spectrum: lim Ti→∞ e− Em/k B Ti = 1 ∀m ∈ N0
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac6803a9-e2e1-4c8d-9937-df48f7312438 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9132a6b-806a-4d2d-9875-a421f6b8564b · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1043a6f-e91a-42d8-b856-075974afea38 · outbound
Quantum tunneling Mpemba effect To construct a well-defined spectral decomposition, we invoke the fr amework of biorthogonal quantum mechanics
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9eecfe9-3277-4750-9c35-dc47bd0836c2 · outbound
Quantum tunneling Mpemba effect The conditional, non-unitary time-evolution operator is given by: ˆUeff (t) = e− i ˆHeff t/ ℏ
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 024436b2-97a5-43e8-8eac-4e44455b31bb · outbound
Quantum tunneling Mpemba effect Let {|n⟩} be the orthonormal eigenstates of ˆH0
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f6d2962-c918-4b6c-af93-572f3f680218 · outbound
Quantum tunneling Mpemba effect (A11) Taking the trace of Eq
Reference 10
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Unavailable: canonical work link unavailable.
Observation 2171c060-8bde-4d54-82cb-283e1f9f4b19 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3e301ef-2993-4fa4-9107-d6fc779afbba · outbound
Quantum tunneling Mpemba effect By cross-multiplying the denominators from Eq
Reference 12
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Unavailable: canonical work link unavailable.
Observation aa47b02e-c911-4003-bd47-1b202f937816 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01ff191f-8aa1-4647-9a0c-17fc9468e36c · outbound
Quantum tunneling Mpemba effect likes to hit a wall
Reference 14
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Unavailable: canonical work link unavailable.
Observation 97db712c-5979-4b5e-addf-3eda2677b467 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 15
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Unavailable: canonical work link unavailable.
Observation b9d627ff-3080-48e3-870f-6435c59aa074 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 16
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Unavailable: canonical work link unavailable.
Observation 569d531b-691f-4558-990c-021b637970cb · outbound
Quantum tunneling Mpemba effect Reply to Burridge & Linden: Hot water may freeze sooner than cold
Reference 17
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Unavailable: canonical work link unavailable.
Observation 7e430c86-6863-445c-bb1c-924ca26742cd · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 18
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Unavailable: canonical work link unavailable.
Observation 37800cc1-56c5-416a-8410-fd7a467215e2 · outbound
Quantum tunneling Mpemba effect Bechhoefer, A
Reference 19
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Unavailable: canonical work link unavailable.
Observation fcd2a68d-0228-4358-9c6f-30fc42e51e5d · outbound
Quantum tunneling Mpemba effect Lu and O
Reference 20
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Unavailable: canonical work link unavailable.
Observation 559802ff-89f8-47f1-95d1-3304394a5e9b · outbound
Quantum tunneling Mpemba effect Klich, O
Reference 21
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Unavailable: canonical work link unavailable.
Observation e946dd0a-7ca4-463c-bbcd-383a96164a04 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a607c109-55ca-4fe4-85b0-46f15ccd4a31 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 143cc097-2139-43aa-9301-91024a778683 · outbound
Quantum tunneling Mpemba effect Yang and J.-X
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a79765f2-09b0-43b7-971d-7a2c5bda0ae3 · outbound
Quantum tunneling Mpemba effect Baity-Jesi, E
Reference 25
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Unavailable: canonical work link unavailable.
Observation b34d2b2c-43a9-4bfc-8f62-2274013c285b · outbound
Quantum tunneling Mpemba effect Chatterjee, S
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61d3a811-755a-4b25-a3bf-0c354c13eac2 · outbound
Quantum tunneling Mpemba effect Lasanta, F
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f7da135-3206-4f6b-93d3-d61be9a3984a · outbound
Quantum tunneling Mpemba effect Torrente, M
Reference 28
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Unavailable: canonical work link unavailable.
Observation e364e1ae-69ab-48cd-9ffa-3f8d1f7f17f4 · outbound
Quantum tunneling Mpemba effect Biswas, V
Reference 29
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Unavailable: canonical work link unavailable.
Observation 814dd5c2-0e14-4993-a242-148c3b561f4b · outbound
Quantum tunneling Mpemba effect Biswas, V
Reference 30
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Unavailable: canonical work link unavailable.
Observation 14c95853-ec2d-498d-9cc3-19182f4b8a46 · outbound
Quantum tunneling Mpemba effect Momp´ o, M
Reference 31
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Unavailable: canonical work link unavailable.
Observation cd14b0b4-07e9-4724-93a8-54ce18fa6453 · outbound
Quantum tunneling Mpemba effect Meg ´ ıas and A
Reference 32
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Unavailable: canonical work link unavailable.
Observation 643aa5d7-e58b-4485-a7c7-3ed8d2d5a2ba · outbound
Quantum tunneling Mpemba effect Patr´ on, B
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2721bf65-36e7-4b88-ba72-d0f8da7a4afe · outbound
Quantum tunneling Mpemba effect Meg ´ ıas, A
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82ddf382-6b8e-4c42-99cf-a7ba359d7cd2 · outbound
Quantum tunneling Mpemba effect Biswas, V
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c71554a-3b6b-455b-b3cb-d5d0d2e2db6b · outbound
Quantum tunneling Mpemba effect Santos and A
Reference 36
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Unavailable: canonical work link unavailable.
Observation 7454350d-ee88-4e09-8f1c-758020c647b9 · outbound
Quantum tunneling Mpemba effect Patr´ on, B
Reference 37
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Unavailable: canonical work link unavailable.
Observation f6f36eb9-3cbb-4e21-8ebf-8a05e91adf98 · outbound
Quantum tunneling Mpemba effect Takada, H
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c332998-6970-4914-b150-3f16739b008f · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3beececa-45fa-4e0d-a19c-84b3005b39f4 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 408d3d73-4d51-4cbc-9da3-7237f3476a9f · outbound
Quantum tunneling Mpemba effect Gonz´ alez-Adalid Pemrt ´ ın, E
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 612852b8-a875-4b1b-916d-e449d8e6904a · outbound
Quantum tunneling Mpemba effect Holtzman and O
Reference 42
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Unavailable: canonical work link unavailable.
Observation 85ef2182-d5b0-41c4-a4e3-67a9f29169ad · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 43
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Unavailable: canonical work link unavailable.
Observation 8d62c473-950d-4d43-b16b-7c0d7d5c4cc2 · outbound
Quantum tunneling Mpemba effect Santos, Mpemba meets Newton: Exploring the Mpemba an d Kovacs effects in the time-delayed cooling law, Phys
Reference 44
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Unavailable: canonical work link unavailable.
Observation 7e5616e8-b398-4991-bcc7-80d2227f6423 · outbound
Quantum tunneling Mpemba effect Biswas and A
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7846b40-5fb4-4b9e-9d9b-e0fe4ae78aed · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 46
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Unavailable: canonical work link unavailable.
Observation 64c902a5-1b4c-4460-9f9c-013b39f41515 · outbound
Quantum tunneling Mpemba effect Kumar and J
Reference 47
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Unavailable: canonical work link unavailable.
Observation 66da671d-34d7-41a5-b84c-d763c04ba234 · outbound
Quantum tunneling Mpemba effect Kumar, Anomalous relaxation in colloidal systems, PhD thesis, Simon Fraser University, 2021
Reference 48
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Unavailable: canonical work link unavailable.
Observation 73520573-dddf-4a76-a384-97bb5e76c32c · outbound
Quantum tunneling Mpemba effect Kumar, R
Reference 49
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Unavailable: canonical work link unavailable.
Observation c355058f-a59d-4c36-808c-9a4053055578 · outbound
Quantum tunneling Mpemba effect Malhotra and H
Reference 50
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Unavailable: canonical work link unavailable.
Observation 766dbfe1-61cc-4d4f-b6ab-16aaece1ea23 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 51
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Unavailable: canonical work link unavailable.
Observation 290c350a-25d0-44ea-8a90-38d94805b402 · outbound
Quantum tunneling Mpemba effect Biswas, R
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5001492-7d7e-4277-8f94-8bdf88254a6d · outbound
Quantum tunneling Mpemba effect Biswas, Mpemba effect in granular and Langevin system s, PhD thesis, The Institute of Mathematical Sciences, Chenna i, 2023
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14d03512-fb5a-4284-9dc3-441b750aa2d1 · outbound
Quantum tunneling Mpemba effect Ch´ etrite, A
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ca758e5-e4d5-4f18-b93d-9017b5fbd7d2 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89f70104-d446-44c2-b353-caea6d41c825 · outbound
Quantum tunneling Mpemba effect Deg¨ unther and U
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 592eec44-475b-41a7-be3a-acdcc95b59a9 · outbound
Quantum tunneling Mpemba effect Microscopic theory of Mpemba effects and a no-Mpemba theorem for monotone many-body systems
Reference 57
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Unavailable: canonical work link unavailable.
Observation b09c9486-83b2-4248-95cc-72b8d6917339 · outbound
Quantum tunneling Mpemba effect Van Vu and H
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a26357d6-fa3f-43e6-91c5-ccc8afe79d75 · outbound
Quantum tunneling Mpemba effect The Mpemba effect likes to hit a wall
Reference 59
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Unavailable: canonical work link unavailable.
Observation a6b4cdac-27b7-4354-9b1d-ef40df366d1e · outbound
Quantum tunneling Mpemba effect Predicting the conditions for observing the Mpemba effect
Reference 60
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Unavailable: canonical work link unavailable.
Observation ce796d8b-dad7-43d0-ae15-259bccda3e5f · outbound
Quantum tunneling Mpemba effect Hayakawa and S
Reference 61
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Observation 074f2fd2-774e-4b51-bb5a-34e3cd5ffba5 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 62
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Observation f4497ad3-e581-4772-9f5e-167f1a041e51 · outbound
Quantum tunneling Mpemba effect Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
Reference 63
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Observation 52e9696d-45e8-4599-b175-3246b843dd58 · outbound
Quantum tunneling Mpemba effect Nava and M
Reference 64
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Observation dbaf92b4-ae43-4a83-81cd-3aaf82e5c2e0 · outbound
Quantum tunneling Mpemba effect Carollo, A
Reference 65
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Observation 24000913-73bc-4146-a3f1-b584d2b2f070 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 66
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Unavailable: canonical work link unavailable.
Observation 24ad85bf-fe88-4b72-ac7e-f1ca8061e53c · outbound
Quantum tunneling Mpemba effect Ivander, N
Reference 67
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Unavailable: canonical work link unavailable.
Observation 68fd6e77-1336-47ca-b65c-25ed0d48668d · outbound
Quantum tunneling Mpemba effect Moroder, O
Reference 68
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Unavailable: canonical work link unavailable.
Observation fa99ae01-a58b-4556-b99c-e6b453117c23 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 69
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Observation 5be10017-5d72-4733-867d-08e407f6102b · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 70
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Unavailable: canonical work link unavailable.
Observation c5805efe-58f7-4204-8cde-16ef15ec4a3e · outbound
Quantum tunneling Mpemba effect Rylands, K
Reference 71
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Observation 71c8af68-96ae-4dfa-aee8-388f3b109be4 · outbound
Quantum tunneling Mpemba effect Chalas, F
Reference 72
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Observation 17450407-5174-428e-a087-4556c883bad9 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 73
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Unavailable: canonical work link unavailable.
Observation 27857580-fbdc-4376-9598-646d25e78d7b · outbound
Quantum tunneling Mpemba effect Yamashika, F
Reference 74
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Unavailable: canonical work link unavailable.
Observation 410e2e81-3095-4e80-a6aa-5a077488985d · outbound
Quantum tunneling Mpemba effect Liu, H.-K
Reference 75
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Unavailable: canonical work link unavailable.
Observation 2ef41a49-efd8-4ce2-823d-45b189feb4a4 · outbound
Quantum tunneling Mpemba effect Turkeshi, P
Reference 76
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Unavailable: canonical work link unavailable.
Observation 34ffed0a-62bb-4df9-b21f-5cddf47ffe84 · outbound
Quantum tunneling Mpemba effect Yamashika and F
Reference 77
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Unavailable: canonical work link unavailable.
Observation e862a93d-9ca1-4dd0-9ca5-350c44015cec · outbound
Quantum tunneling Mpemba effect Yamashika and R
Reference 78
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Observation 20ef2c19-d5dd-4152-a4e9-d7ef50e10a70 · outbound
Quantum tunneling Mpemba effect Yang and J.-X
Reference 79
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Observation a8f8ece9-7c9f-45c3-a8e9-a1d7539f63e9 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 80
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Observation 14c1a0fc-05a4-41c7-944a-7fe09baa22a7 · outbound
Quantum tunneling Mpemba effect Yang and J.-X
Reference 81
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Unavailable: canonical work link unavailable.
Observation 19f85108-62f9-452a-be7b-8bcaee0d2269 · outbound
Quantum tunneling Mpemba effect Wang and J
Reference 82
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Unavailable: canonical work link unavailable.
Observation 35c379d2-96c8-4a22-9677-bf1472164961 · outbound
Quantum tunneling Mpemba effect Nava and R
Reference 83
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Unavailable: canonical work link unavailable.
Observation fd0c665e-0497-40bf-ac5e-51c8e65e0e14 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 84
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Unavailable: canonical work link unavailable.
Observation d4a9726a-d3d9-4670-a2c1-b7fa1a579d6f · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 85
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Unavailable: canonical work link unavailable.
Observation 6e71ef9a-58fd-4c13-9c26-0a586b1b6cc8 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 86
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Unavailable: canonical work link unavailable.
Observation c8989bc3-a19b-4631-977f-54c83b109517 · outbound
Quantum tunneling Mpemba effect Longhi, Photonic Mpemba effect, Opt
Reference 87
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Unavailable: canonical work link unavailable.
Observation beaccb22-6e06-4045-8a79-3087d409a16d · outbound
Quantum tunneling Mpemba effect Zhang, G
Reference 88
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Unavailable: canonical work link unavailable.
Observation ae4af12f-632c-44fc-8eb7-fcabf31dd318 · outbound
Quantum tunneling Mpemba effect Bao and Z
Reference 89
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Unavailable: canonical work link unavailable.
Observation 29cd12e2-f165-49da-aab3-4da9d385473b · outbound
Quantum tunneling Mpemba effect Beato and G
Reference 90
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Observation 439014d3-8432-40e2-87cd-fc764593d400 · outbound
Quantum tunneling Mpemba effect Abramowitz and I
Reference 91
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Observation 36dffb5b-ab28-4d65-99a4-6c4c231ce5c3 · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 92
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Unavailable: canonical work link unavailable.
Observation c9da89a6-aac3-46b5-9615-af3221fac16b · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 93
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Observation cec03d3f-9516-45a3-8b71-7f8fa21f1799 · outbound
Quantum tunneling Mpemba effect Dalibard, Y
Reference 94
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Observation b3b9ebf7-5e7d-4fe8-b019-ac16c804981a · outbound
Quantum tunneling Mpemba effect Unresolved cited work
Reference 95
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Observation d478177a-5f2c-4598-9884-5189447f0be4 · inbound
Quantization of the classical Mpemba effect Quantum tunneling Mpemba effect
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.