Paper Citation Record · LEDGER

Fate of Mixmaster Chaos in a Deformed Algebra framework

As of 12 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2412.20983.

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

pith.paper-citation-record.v1
2412.20983 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:20:39.233676Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

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 2026-08-10T14:56:13.416909Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T14:56:13.570328Z

Reference resolution

47 of 47 outbound references displayed

verified exact20
verified fuzzy5
unresolved14
parse uncertain0
malformed identifier8
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External citation measurements

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Outbound references

Observation da471655-5537-4304-93a1-e3b4f01974ec · outbound

This paper cites The singularities of gravitationl collapse and cosmology.

Fate of Mixmaster Chaos in a Deformed Algebra framework The singularities of gravitationl collapse and cosmology

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.068837Z

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Observation 25d91165-0341-472a-935c-94550d85e20a · outbound

This paper cites The Nature of Space and Time ; Princeton University Press: Princeton, NJ, USA, 1996.

Fate of Mixmaster Chaos in a Deformed Algebra framework The Nature of Space and Time ; Princeton University Press: Princeton, NJ, USA, 1996

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:20:39.795583Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d4c5563f-f05e-4e86-af19-731f689529cb · outbound

This paper cites Loop space representation of quantum General Relativity.

Fate of Mixmaster Chaos in a Deformed Algebra framework Loop space representation of quantum General Relativity

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.075933Z

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Observation 118e4833-d69e-4551-9a13-32e41334dff2 · outbound

This paper cites Spin networks and quantum gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework Spin networks and quantum gravity

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.607725Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5aacffcb-880e-4c27-8d46-2c6600e7c0a4 · outbound

This paper cites Quantization of diffeomorphism invariant theories of connections with local degrees of freedom.

Fate of Mixmaster Chaos in a Deformed Algebra framework Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.083552Z

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Observation ed5ab2ec-8329-412d-9daf-f0602d160cd3 · outbound

This paper cites Loop Quantum Gravity: The First 30 Years ; World Scientific: Singapore, 2017.

Fate of Mixmaster Chaos in a Deformed Algebra framework Loop Quantum Gravity: The First 30 Years ; World Scientific: Singapore, 2017

Reference 6

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T23:20:39.587569Z

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Observation ac765925-f6bd-4a1b-ba5d-181b20daacc2 · outbound

This paper cites A short review of Loop Quantum Gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework A short review of Loop Quantum Gravity

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-10T23:20:39.090802Z

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Observation b856dd65-66a1-4a5c-b738-268c706af974 · outbound

This paper cites Superstring Theory (Cambridge Monographs on Mathematical Physics) ; Cambridge University Press: Cambridge, UK, 1987.

Fate of Mixmaster Chaos in a Deformed Algebra framework Superstring Theory (Cambridge Monographs on Mathematical Physics) ; Cambridge University Press: Cambridge, UK, 1987

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:20:39.785405Z

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Observation db3bb997-3761-438d-91f7-2a3e6046353b · outbound

This paper cites Can Space-Time Be Probed Below the String Size? Phys.

Fate of Mixmaster Chaos in a Deformed Algebra framework Can Space-Time Be Probed Below the String Size? Phys

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.097659Z

Source-reported events for the cited work

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Observation f74ecec2-673c-48bf-90c6-b34d4f58009b · outbound

This paper cites On the Space–Time Uncertainty Relations of Liouville Strings and D-Branes.

Fate of Mixmaster Chaos in a Deformed Algebra framework On the Space–Time Uncertainty Relations of Liouville Strings and D-Branes

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.561992Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff9c25ab-c9ea-4e51-8479-c0979122b1a8 · outbound

This paper cites Loop Quantum Cosmology.

Fate of Mixmaster Chaos in a Deformed Algebra framework Loop Quantum Cosmology

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.104422Z

Source-reported events for the cited work

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Observation 508f3e19-1120-4f70-9e87-2abdde7ae5be · outbound

This paper cites Loop Quantum Cosmology: A status report.

Fate of Mixmaster Chaos in a Deformed Algebra framework Loop Quantum Cosmology: A status report

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.108375Z

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Unavailable: canonical work link unavailable.

Observation 3b60a59f-09e8-4272-bdb6-c0ae9a0750ef · outbound

This paper cites Brane-World Gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework Brane-World Gravity

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.112007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44cf4b89-1715-487b-a267-3b493d58424c · outbound

This paper cites Cosmology and brane worlds: A review.Class.

Fate of Mixmaster Chaos in a Deformed Algebra framework Cosmology and brane worlds: A review.Class

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T23:20:39.774081Z

Source-reported events for the cited work

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Observation 98d8cf18-7662-4363-817e-e0fc0308431b · outbound

This paper cites Brane Cosmology: An introduction.

Fate of Mixmaster Chaos in a Deformed Algebra framework Brane Cosmology: An introduction

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.119219Z

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Observation 2399259d-0434-468c-9f98-a648154020ac · outbound

This paper cites Critical Evaluation of Common Claims in Loop Quantum Cosmology.

Fate of Mixmaster Chaos in a Deformed Algebra framework Critical Evaluation of Common Claims in Loop Quantum Cosmology

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T23:20:39.761608Z

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Observation 8d2d64de-894d-4cf6-a02f-710b3043e9e4 · outbound

This paper cites A critical analysis of the cosmological implementation of Loop Quantum Gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework A critical analysis of the cosmological implementation of Loop Quantum Gravity

Reference 17

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.520856Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b427f7f4-0825-4a76-b4a8-e9887c791061 · outbound

This paper cites Hilbert space representation of the minimal length uncertainty relation.

Fate of Mixmaster Chaos in a Deformed Algebra framework Hilbert space representation of the minimal length uncertainty relation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.131337Z

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Observation 749778e0-99e8-4f11-ac9e-f388d2d64b21 · outbound

This paper cites A generalized uncertainty principle in quantum gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework A generalized uncertainty principle in quantum gravity

Reference 19

Resolution: malformed identifier; no resolver link, observed 2026-08-10T23:20:39.135699Z

Source-reported events for the cited work

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Observation 2ad47966-3416-43f9-bfcf-330d40cf1e1b · outbound

This paper cites Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment.

Fate of Mixmaster Chaos in a Deformed Algebra framework Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.496778Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9be62dd7-cf20-4150-98b7-f3a0ec6167fd · outbound

This paper cites Minimal Length Scale Scenarios for Quantum Gravity.

Fate of Mixmaster Chaos in a Deformed Algebra framework Minimal Length Scale Scenarios for Quantum Gravity

Reference 21

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.486127Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fe37ef0b-aacb-4b56-a90d-bb057e71f1f0 · outbound

This paper cites Comparison of the semiclassical and quantum dynamics of the Bianchi I cosmology in the polymer and GUP extended paradigms.

Fate of Mixmaster Chaos in a Deformed Algebra framework Comparison of the semiclassical and quantum dynamics of the Bianchi I cosmology in the polymer and GUP extended paradigms

Reference 22

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.474703Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1738fb56-bd43-4612-89a5-7a09ff590593 · outbound

This paper cites Revisiting the algebraic structure of the generalized uncertainty principle.

Fate of Mixmaster Chaos in a Deformed Algebra framework Revisiting the algebraic structure of the generalized uncertainty principle

Reference 23

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.463245Z

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Observation f1260dd2-19a5-4f98-b104-ea944a4f5dc4 · outbound

This paper cites N-Dimens.

Fate of Mixmaster Chaos in a Deformed Algebra framework N-Dimens

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.451291Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9bfe618f-c020-493d-919c-651ac766316c · outbound

This paper cites Mixmaster Universe.

Fate of Mixmaster Chaos in a Deformed Algebra framework Mixmaster Universe

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.158994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b8ad84a-b785-4812-bd83-3504c231aca9 · outbound

This paper cites Dynamics of the Mixmaster Universe in a non-commutative Generalized Uncertainty Principle framework.

Fate of Mixmaster Chaos in a Deformed Algebra framework Dynamics of the Mixmaster Universe in a non-commutative Generalized Uncertainty Principle framework

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.161950Z

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Observation 1fe1a53d-cb99-4e51-ac31-1449a8c29e7e · outbound

This paper cites Semiclassical and quantum analysis of the isotropic Universe in the polymer paradigm.

Fate of Mixmaster Chaos in a Deformed Algebra framework Semiclassical and quantum analysis of the isotropic Universe in the polymer paradigm

Reference 27

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.418882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3ba56cf9-e68e-4abd-b27c-b3e7aa6f8291 · outbound

This paper cites Polymer representation of the Bianchi IX cosmology in the Misner variables.

Fate of Mixmaster Chaos in a Deformed Algebra framework Polymer representation of the Bianchi IX cosmology in the Misner variables

Reference 28

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.405780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f10c27ae-6c77-4dbf-a2f2-426bbbbf2ca2 · outbound

This paper cites Polymer Dynamics of Isotropic Universe in Ashtekar and in Volume Variables.

Fate of Mixmaster Chaos in a Deformed Algebra framework Polymer Dynamics of Isotropic Universe in Ashtekar and in Volume Variables

Reference 29

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.394047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d674721f-3448-4fc4-9aa7-7ce4823ec4fe · outbound

This paper cites An Overview on the Nature of the Bounce in LQC and PQM.

Fate of Mixmaster Chaos in a Deformed Algebra framework An Overview on the Nature of the Bounce in LQC and PQM

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.382953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8158fa74-dc6d-4e38-8316-1d4f7dec5e37 · outbound

This paper cites A general solution of the Einstein equations with a time singularity.Adv.

Fate of Mixmaster Chaos in a Deformed Algebra framework A general solution of the Einstein equations with a time singularity.Adv

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.179018Z

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Observation 38310cae-1438-4694-b637-17d20da6bfcc · outbound

This paper cites Primordial Cosmology; World Scientific: Singapore, 2009.

Fate of Mixmaster Chaos in a Deformed Algebra framework Primordial Cosmology; World Scientific: Singapore, 2009

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:20:39.749243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 488d3597-57cd-4c99-8422-afa4b2fc42b2 · outbound

This paper cites Semiclassical and quantum behavior of the Mixmaster model in the polymer approach for the isotropic Misner variable.

Fate of Mixmaster Chaos in a Deformed Algebra framework Semiclassical and quantum behavior of the Mixmaster model in the polymer approach for the isotropic Misner variable

Reference 33

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.364733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cd5a513a-73f0-4957-8699-dd9a67d217f7 · outbound

This paper cites Classical and quantum features of the Mixmaster singularity.Int.

Fate of Mixmaster Chaos in a Deformed Algebra framework Classical and quantum features of the Mixmaster singularity.Int

Reference 34

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.352953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c6aeb670-f114-4a63-a4e1-a499a3db7e9b · outbound

This paper cites The Bianchi IX model in Loop Quantum Cosmology.

Fate of Mixmaster Chaos in a Deformed Algebra framework The Bianchi IX model in Loop Quantum Cosmology

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.191227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca639947-1922-4886-9334-e6af171d1745 · outbound

This paper cites Loop Quantum Cosmology of Bianchi type IX models.

Fate of Mixmaster Chaos in a Deformed Algebra framework Loop Quantum Cosmology of Bianchi type IX models

Reference 36

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T23:20:39.737603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a4d3f3e-7ffb-4895-a8e5-c306b624592a · outbound

This paper cites Inhomogeneous quantum Mixmaster: From classical towards quantum mechanics.

Fate of Mixmaster Chaos in a Deformed Algebra framework Inhomogeneous quantum Mixmaster: From classical towards quantum mechanics

Reference 37

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.335471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 65fffb75-4aa8-4143-b9a5-d278de860e3e · outbound

This paper cites Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe.

Fate of Mixmaster Chaos in a Deformed Algebra framework Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe

Reference 38

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.324728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 669f5cab-b6d0-40a0-9782-625bc7bb78d0 · outbound

This paper cites Canonical variables for General Relativity.

Fate of Mixmaster Chaos in a Deformed Algebra framework Canonical variables for General Relativity

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:20:39.725659Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5969dec1-4cca-4b35-8628-b4123c7eec41 · outbound

This paper cites Geometrical Theorems on Einstein’s Cosmological Equations.

Fate of Mixmaster Chaos in a Deformed Algebra framework Geometrical Theorems on Einstein’s Cosmological Equations

Reference 40

Resolution: malformed identifier; no resolver link, observed 2026-08-10T23:20:39.208808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ee51e11-a930-4c55-be79-f9cf289998fa · outbound

This paper cites Quantum Cosmology.

Fate of Mixmaster Chaos in a Deformed Algebra framework Quantum Cosmology

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T23:20:39.212353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fe44316-e199-46c5-bfe6-33674224c023 · outbound

This paper cites Bouncing Bianchi models with Deformed Commutation Relations.

Fate of Mixmaster Chaos in a Deformed Algebra framework Bouncing Bianchi models with Deformed Commutation Relations

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:20:39.714044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9d6674f8-a08a-437b-b457-9bc14630c4cf · outbound

This paper cites Cosmological bounce from a deformed Heisenberg algebra.Phys.

Fate of Mixmaster Chaos in a Deformed Algebra framework Cosmological bounce from a deformed Heisenberg algebra.Phys

Reference 43

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T23:20:39.699794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 162c0050-a982-43ac-8bb8-b3de88208b34 · outbound

This paper cites Extended GUP formulation and the role of momentum cut-off.

Fate of Mixmaster Chaos in a Deformed Algebra framework Extended GUP formulation and the role of momentum cut-off

Reference 44

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.298280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6c6eac38-bd54-425e-ada7-f782c3ed31d7 · outbound

This paper cites Emergent universe model from a modified Heisenberg algebra.

Fate of Mixmaster Chaos in a Deformed Algebra framework Emergent universe model from a modified Heisenberg algebra

Reference 45

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.287520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 44f6daa9-04d6-4b6c-9853-1ff7845a1fc6 · outbound

This paper cites Is Bianchi I a bouncing cosmology in the Wheeler-DeWitt picture? Phys.

Fate of Mixmaster Chaos in a Deformed Algebra framework Is Bianchi I a bouncing cosmology in the Wheeler-DeWitt picture? Phys

Reference 46

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.277493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8e85963a-60ff-4aa1-9dc7-d60bfee80e5d · outbound

This paper cites Quantum Big Bounce of the Isotropic Universe Using Relational Time.

Fate of Mixmaster Chaos in a Deformed Algebra framework Quantum Big Bounce of the Isotropic Universe Using Relational Time

Reference 47

Resolution: verified exact; doi, observed 2026-08-10T23:20:39.266906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation d61f870a-7ee0-42cd-bfd9-a3329ec8534b · inbound

Semiclassical Mixmaster Universe cites this paper.

Semiclassical Mixmaster Universe Fate of Mixmaster Chaos in a Deformed Algebra framework

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:56:13.576989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.