Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:38:42.575085Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2509.04811.
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 2026-08-15T16:38:42.575085Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:38:42.225922Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T00:49:48.890002Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 78a45fe4-c906-48f9-a2de-2988710a8806 · outbound
Flavour from Fractal Mass Chains Such a successive repetition of generations in general implies complex Yukawa matrices, which lead to CP violation
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9a01ff37-6e67-4fa6-b7cc-a74ff19df366 · outbound
Flavour from Fractal Mass Chains Flavour from Fractal Mass Chains
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b14c35a4-1477-42a9-a528-53e636d9364c · outbound
Flavour from Fractal Mass Chains Modular symmetry, twisted sectors and flavour
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f1c40033-3bd6-486a-be5b-a12f3b8f9e62 · outbound
Flavour from Fractal Mass Chains Theoretical aspects of some physics beyond standard models
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1b95e2ec-92b8-4b7c-bec2-d6652c0b9e0b · outbound
Flavour from Fractal Mass Chains Hierarchy of quark masses, cabibbo angles and cp violation.Nuclear Physics B, 147(3-4):277–298, 1979
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 37152d28-848f-4ab8-817f-6d398719b133 · outbound
Flavour from Fractal Mass Chains Fermion masses and anti-grand unification.Physics Letters B, 385(1-4):150–158, 1996
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2282e343-b8c1-43c2-bf08-2c511a7ed759 · outbound
Flavour from Fractal Mass Chains Lepton masses and mixing from modular s4 symmetry.Nuclear Physics B, 939:292–307, 2019
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0eecdb28-aea9-407d-80ac-cb0a016c19de · outbound
Flavour from Fractal Mass Chains Tri-bimaximal neutrino mixing, a4 and the modular symmetry.Nuclear Physics B, 741(1-2):215–235, 2006
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2b3f08df-54de-426f-9172-6ec013d1ce6c · outbound
Flavour from Fractal Mass Chains A4 family symmetry and quark–lepton unification.Physics Letters B, 645(4):351–357, 2007
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1e606571-91ef-41df-a4f7-8d9a6e60b476 · outbound
Flavour from Fractal Mass Chains Are neutrino masses modular forms? InFrom My Vast Repertoire
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 95a143d7-0339-47c9-bbb1-8f25841a8d59 · outbound
Flavour from Fractal Mass Chains In this work, we propose a novel approach to the flavour puzzle that simultaneously addresses the longstand- ing mystery of the existence of three generations
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 736efed4-544e-4491-85ee-234e28ba6ed0 · outbound
Flavour from Fractal Mass Chains A note on the predictions of models with modular flavor symmetries.Phys
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1a0a43d2-ce83-4322-91e1-b67d49a2570b · outbound
Flavour from Fractal Mass Chains Quasi–eclectic modular flavor symmetries.Phys
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0091b24d-ae04-4172-ad4d-a30004fd4379 · outbound
Flavour from Fractal Mass Chains Neutrino mass and mixing with modular symmetry.Reports on Progress in Physics, 87(8):084201, 2024
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 059d9c83-5942-4ece-8c59-7dfe04bc7928 · outbound
Flavour from Fractal Mass Chains Flavor Patterns of Fundamental Particles from Quantum Entanglement?
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a304f29d-103c-4a03-be14-b35ebd2df8cd · outbound
Flavour from Fractal Mass Chains Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e8d29a4c-a55e-4967-a36d-b18247285cf4 · outbound
Flavour from Fractal Mass Chains Lepton flavor symmetries.Rev
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 74f6df83-52c4-471d-b9df-b95dd659c78a · outbound
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85a6b817-749d-4e96-b9c8-de18f09489fb · outbound
Flavour from Fractal Mass Chains Natural neutrino mass hierarchy in a theory of gauge flavour deconstruction.arXiv e-prints, pages arXiv–2506, 2025
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fa00f0bf-63f4-4a39-a8eb-e4a5056b0a4f · outbound
Flavour from Fractal Mass Chains Recent progress in flavor model building.Annual Review of Nuclear and Particle Science, 75, 2024
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5600637c-94e0-419a-8c34-503db734d0d7 · outbound
Flavour from Fractal Mass Chains Scaling range and cutoffs in empirical fractals.Physical Review E, 56(3):2817, 1997
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d0a3fe81-dfeb-4804-b7e8-a9245cf58d65 · outbound
Flavour from Fractal Mass Chains Emergence of fractal geometries in the evolution of a metabolic enzyme.Nature, pages 1–7, 2024
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e77b682d-7f0d-46c5-a95c-cbdff65ab04f · outbound
Flavour from Fractal Mass Chains Hofstadter Butterfly in Graphene
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1ccfb76b-b494-47d7-bd15-2ecfae922d07 · outbound
Flavour from Fractal Mass Chains Fractals and the quantum theory of spacetime.International Journal of Modern Physics A, 4(19):5047–5117, 1989
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 65bdf39b-770f-4e63-a8d3-91e91ead0809 · outbound
Flavour from Fractal Mass Chains Topological edge and corner states in bismuth fractal nanostructures.Nature Physics, pages 1–8, 2024
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d3cd2e72-d5f1-4b26-9558-c2c055bfff40 · outbound
Flavour from Fractal Mass Chains Fractal theory space: Spacetime of noninteger dimensionality.Physical Review D, 67(8):085004, 2003
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 00e6f793-5d9d-4ea6-8507-c741bb8b6d25 · outbound
Flavour from Fractal Mass Chains Electroweak symmetry breaking from dimensional deconstruction.Physics Letters B, 513(1-2):232–240, 2001
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f14d3c9c-9f61-4257-a3f1-c85bded5dcf2 · outbound
Flavour from Fractal Mass Chains Gauge invariant effective lagrangian for kaluza-klein modes
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d64fbac6-2a04-4927-b64a-f0d68204b58f · outbound
Flavour from Fractal Mass Chains Tools for deconstructing gauge theories in AdS(5).JHEP, 08:061, 2006
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 91ce6965-1fb4-40d4-93c9-dff32b809c14 · outbound
Flavour from Fractal Mass Chains A clockwork theory.Journal of High Energy Physics, 2017(2):1–39, 2017
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b84a1256-a0ed-46d6-856b-d26ba9cf219b · outbound
Flavour from Fractal Mass Chains Kaplan and Riccardo Rattazzi
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ba72374a-4ba6-481a-81e5-1d92035554ef · outbound
Flavour from Fractal Mass Chains Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry.JHEP, 01:149, 2016
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3372beff-8605-4ecf-9567-6cb96ff2ae72 · outbound
Flavour from Fractal Mass Chains Exponential hierarchies from anderson localization in theory space.Physical Review Letters, 120(22):221802, 2018
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 78dc7683-fab7-494c-813f-e8bc036c617e · outbound
Flavour from Fractal Mass Chains Vertex-, edge-, and total-colorings of sierpi´ nski-like graphs.Discrete Mathematics, 309(6):1548–1556, 2009
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f51d0807-d70f-42ca-91fd-345cba0e5a91 · outbound
Flavour from Fractal Mass Chains Another possibility is to use a discrete symmetry to project them out as happens in extra dimension theories with orbifold [39, 40]
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ebfe550b-fee1-4753-8098-93ddb5a4217e · outbound
Flavour from Fractal Mass Chains The fourteenth western meeting of the american mathematical society, 1920
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c4de4bd4-a695-4bf6-a65d-682b09214045 · outbound
Flavour from Fractal Mass Chains Application of calculus of matrices to method of least squares: with special reference to geodetic calculations.(No Title), 1951
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 35bcfd4e-4432-4a8d-a313-e372ace8a034 · outbound
Flavour from Fractal Mass Chains A generalized inverse for matrices
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 72cd9f7f-09c1-499a-88f9-a57be7b1c7cd · outbound
Flavour from Fractal Mass Chains Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2d72124c-fe1d-4279-863f-d1c9fe09452b · outbound
Flavour from Fractal Mass Chains Nufit-6.0: Updated global analysis of three-flavor neutrino oscillations.Journal of High Energy Physics, 2024(12):1–33, 2025
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c5f8aae5-4023-479e-b7c5-8b64c169707c · outbound
Flavour from Fractal Mass Chains Review of particle physics (2024)
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 43957362-3554-4b21-9ce3-29cf142acc87 · outbound
Flavour from Fractal Mass Chains Independent Chiral Control in Theory-Space Models:A Rank-Preserving Framework and Its Application to Neutrino Mass Generation
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3fa1446b-0a44-422b-a88c-e42519513723 · outbound
Flavour from Fractal Mass Chains An introduction to extra dimensions
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b78208d3-e76c-4ad9-99a9-2d69091e87cc · outbound
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca49b0a0-0bf4-43a7-a215-999e7f257c68 · outbound
Flavour from Fractal Mass Chains Hierarchies without symmetries from extra dimensions.Physical Review D, 61(3):033005, 2000
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c381bc79-6191-4d0a-8ec7-d9b6a00c81c3 · outbound
Flavour from Fractal Mass Chains Atmospheric neutrino oscillation analysis with external constraints in super-kamiokande i-iv.Physical Review D, 97(7):072001, 2018
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 18ee6b7a-4ee3-452a-b882-d60ea42461dc · outbound
Flavour from Fractal Mass Chains Resuscitation of the three-scalar doublet model with sponta- neous cp violation.Physics Letters B, 155(3):192–196, 1985
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d938d8c-b29c-4b23-b0d7-4bc620d71f93 · outbound
Flavour from Fractal Mass Chains Higgs masses in the standard, multi-higgs and supersymmetric models.Annals of Physics, 148(1):95–134, 1983
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9a01ff37-6e67-4fa6-b7cc-a74ff19df366 · inbound
Flavour from Fractal Mass Chains Flavour from Fractal Mass Chains
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f56d990a-e700-4c00-8bae-fa38a2af4522 · inbound
Graph-theoretic determination of massless modes in latticized theory-space models Flavour from Fractal Mass Chains
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.