A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors | Paper Citation Record

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This paper cites Quantum Gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantum Gravity

Reference 1

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This paper cites Modern Canonical Quantum General Relativity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Modern Canonical Quantum General Relativity

Reference 2

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Observation 12560072-d8ad-4f86-a8e5-fbd3040f976e · outbound

This paper cites Introduction to Loop Quantum Gravity and Spin Foams.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Introduction to Loop Quantum Gravity and Spin Foams

Reference 3

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This paper cites (2+1)-Dimensional Gravity as an Exactly Soluble System.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors (2+1)-Dimensional Gravity as an Exactly Soluble System

Reference 4

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantum Gravity as Topological Quantum Field Theory

Reference 5

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This paper cites and Yetter, D.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors and Yetter, D

Reference 6

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This paper cites State-Sum Invariants of 4-Manifolds I.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors State-Sum Invariants of 4-Manifolds I

Reference 7

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This paper cites Tullio Regge's legacy: Regge calculus and discrete gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Tullio Regge's legacy: Regge calculus and discrete gravity

Reference 8

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Observation 79ab3c95-87aa-457e-91ae-4ce44e1e352f · outbound

This paper cites Phase space descriptions for simplicial 4d geometries.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Phase space descriptions for simplicial 4d geometries

Reference 9

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Observation 56dd74e0-3d5b-4857-ad50-7bf3a3cdc1d2 · outbound

This paper cites Group Field Theory and Loop Quantum Gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group Field Theory and Loop Quantum Gravity

Reference 10

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Observation 10636951-edf1-4b9d-9394-9b41e18c64fa · outbound

This paper cites The microscopic dynamics of quantum space as a group field theory.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The microscopic dynamics of quantum space as a group field theory

Reference 11

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This paper cites Group ﬁeld theory: An overview.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group ﬁeld theory: An overview

Reference 12

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Observation 26983948-a5cc-422b-95de-a2c7d85d0ba5 · outbound

This paper cites Group field theories.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theories

Reference 13

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

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Observation 4ce5d63f-05f7-41ee-9b87-470f5b53ec18 · outbound

This paper cites An Introduction to Spin Foam Models of Quantum Gravity and BF Theory.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors An Introduction to Spin Foam Models of Quantum Gravity and BF Theory

Reference 15

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This paper cites The Spin Foam Approach to Quantum Gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The Spin Foam Approach to Quantum Gravity

Reference 16

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 17

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Observation 4a6196b7-dc28-467b-b94d-76ff6d68cc58 · outbound

This paper cites Spacetime geometry from algebra: spin foam models for non- perturbative quantum gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spacetime geometry from algebra: spin foam models for non- perturbative quantum gravity

Reference 18

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Observation 2abf9b38-1cd5-437a-ab81-6e700668bcfc · outbound

This paper cites Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance

Reference 19

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 20

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Observation 2c79afcb-7e6c-44e2-8339-3cf97f132f1f · outbound

This paper cites Quantum simplicial geometry in the group field theory formalism: reconsidering the Barrett-Crane model.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantum simplicial geometry in the group field theory formalism: reconsidering the Barrett-Crane model

Reference 21

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Observation f02c021d-14c2-473c-858b-aad43d2eaa8a · outbound

This paper cites The Complete Barrett-Crane Model and its Causal Structure.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The Complete Barrett-Crane Model and its Causal Structure

Reference 22

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Observation 97bcfe3d-bcec-4eee-bcd3-e00f06a5c2f2 · outbound

This paper cites LQG vertex with finite Immirzi parameter.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors LQG vertex with finite Immirzi parameter

Reference 23

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This paper cites Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity

Reference 24

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Observation bcad75ee-5185-4842-847a-2c7cf4145326 · outbound

This paper cites A More Sensitive Lorentzian State Sum.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors A More Sensitive Lorentzian State Sum

Reference 25

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 26

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Observation f5b6a977-1f3a-4d88-9a4c-38eb816c380b · outbound

This paper cites Spin foams as Feynman diagrams.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spin foams as Feynman diagrams

Reference 27

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This paper cites The Lorentz group and harmonic analysis.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The Lorentz group and harmonic analysis

Reference 28

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Observation 8c02f988-f1b1-4fbb-8e3b-459d153c0bfd · outbound

This paper cites Gel’fand, M.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Gel’fand, M

Reference 29

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 31

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Observation e3cbdc55-4d12-4a76-b277-5d4e45ef016d · outbound

This paper cites Inﬁnite Irreducible Representations of the Lorentz Group.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Inﬁnite Irreducible Representations of the Lorentz Group

Reference 32

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Observation 91b754a8-9dc3-4b65-8035-7eef4283e3ab · outbound

This paper cites A primer of group theory for loop quantum gravity and spin-fo ams.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors A primer of group theory for loop quantum gravity and spin-fo ams

Reference 33

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 34

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Observation f51a37ae-bc58-4feb-9be0-ab13c45a6adf · outbound

This paper cites Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials

Reference 36

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Observation c78f9e71-dee9-4007-8e80-cce3acb1bffd · outbound

This paper cites Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry

Reference 37

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Observation 6c1e6d2d-aca3-470d-9e32-2bd5e44c0420 · outbound

This paper cites The four-dimensional hyperbolic spherical harmonics.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The four-dimensional hyperbolic spherical harmonics

Reference 38

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Observation 3cf4dfca-3e06-404b-8e97-e63149e3c695 · outbound

This paper cites Spin foam models and the Duflo map.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spin foam models and the Duflo map

Reference 39

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Observation e2a8f323-a8e4-4abf-b919-ba3be893ff3d · outbound

This paper cites A Lorentzian Signature Model for Quantum General Relativity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors A Lorentzian Signature Model for Quantum General Relativity

Reference 40

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Observation a2f8f0da-1d4e-464d-be7e-d09cd91bced3 · outbound

This paper cites Non-commutative Fourier transform for the Lorentz group via the Duflo map.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Non-commutative Fourier transform for the Lorentz group via the Duflo map

Reference 41

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This paper cites The Quantum Tetrahedron in 3 and 4 Dimensions.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The Quantum Tetrahedron in 3 and 4 Dimensions

Reference 43

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Observation 36c7cbdc-3350-4a86-8095-0bf7c2e57c79 · outbound

This paper cites Quantum tetrahedra and simplicial spin net- works.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantum tetrahedra and simplicial spin net- works

Reference 44

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Observation 67df255e-b3c9-4cfa-8a2e-46fbcdfc4770 · outbound

This paper cites Non-commutative flux representation for loop quantum gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Non-commutative flux representation for loop quantum gravity

Reference 45

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This paper cites Group field theory with non-commutative metric variables.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theory with non-commutative metric variables

Reference 46

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Observation d36dea1f-2e01-4373-9e68-4a9115c56614 · outbound

This paper cites Minkowski space-time and hyperbolic geometry (original 20 15 version) (2015).

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Minkowski space-time and hyperbolic geometry (original 20 15 version) (2015)

Reference 47

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Observation 984a45e1-aabf-47ec-b534-46ab03307724 · outbound

This paper cites Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups

Reference 48

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Observation 119a2b71-e7e3-40c7-9526-b4d48f623bb6 · outbound

This paper cites Spin foam model for Lorentzian General Relativity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spin foam model for Lorentzian General Relativity

Reference 49

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Observation 5ac8df77-1639-450f-9649-15b70323016f · outbound

This paper cites Spin Foam Models for Quantum Gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spin Foam Models for Quantum Gravity

Reference 50

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Observation e2ae523f-3f8c-4ffb-b6c6-190d9fb97607 · outbound

This paper cites 3+1 spinfoam model of quantum gravity with spacelike and timelike components.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors 3+1 spinfoam model of quantum gravity with spacelike and timelike components

Reference 51

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Observation 279b72a7-0004-4680-bec5-b9d590181ce5 · outbound

This paper cites Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model

Reference 52

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This paper cites Group field theories.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theories

Reference 53

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Observation c19776df-25e3-48c1-8c92-e588766708bf · outbound

This paper cites Colored Tensor Models - a Review.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Colored Tensor Models - a Review

Reference 54

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This paper cites and Vitale, P.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors and Vitale, P

Reference 55

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Observation 5261acc9-2e82-4eb8-8e67-53179de4b9a4 · outbound

This paper cites How-To compute EPRL spin foam amplitudes.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors How-To compute EPRL spin foam amplitudes

Reference 56

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This paper cites Spinor Representation for Loop Quantum Gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spinor Representation for Loop Quantum Gravity

Reference 57

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Observation 5ab0c1a7-ae1d-404c-827f-8661ae8f363a · outbound

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A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Spinors and Voros star-product for Group Field Theory: First Contact

Reference 58

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Observation 33d87e7f-3287-478b-87c1-139c29c12c69 · outbound

This paper cites Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators

Reference 59

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Observation 7b8aa0c8-fbc6-4db5-b7db-87c7623f312d · outbound

This paper cites Regge Calculus as a Local Theory of the Poincare Group.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Regge Calculus as a Local Theory of the Poincare Group

Reference 60

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Observation ffd87b54-0d86-4f23-b63c-347f42085d3e · outbound

This paper cites and Krajewski, T.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors and Krajewski, T

Reference 61

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Observation c3a67750-349a-4144-b660-c118b0f1ebcc · outbound

This paper cites Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:27:24.723967Z

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This paper cites Twisted geometries are area-metric geometries.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Twisted geometries are area-metric geometries

Reference 63

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Observation b6fddd66-0fb5-41d8-87bd-b414cab266f7 · outbound

This paper cites The Degrees of Freedom of Area Regge Calculus: Dynamics, Non-metricity, and Broken Diffeomorphisms.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The Degrees of Freedom of Area Regge Calculus: Dynamics, Non-metricity, and Broken Diffeomorphisms

Reference 64

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Observation eb75044b-b780-4d4f-bc2d-306a3679f34a · outbound

This paper cites A note on area variables in Regge calculus.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors A note on area variables in Regge calculus

Reference 65

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Observation af08a4d0-e8bd-40e6-829a-6fa32dbc6e5d · outbound

This paper cites Discretization of 4d Poincar\'e BF theory: from groups to 2-groups.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Discretization of 4d Poincar\'e BF theory: from groups to 2-groups

Reference 66

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Observation 417f6b9e-01aa-4bf2-ba94-b74d77eb935c · outbound

This paper cites Group field theory on 2-groups.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theory on 2-groups

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:27:24.602150Z

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Observation 5b8e344e-a1b9-494a-a4f6-92ce52804425 · outbound

This paper cites Quantum geometry from higher gauge theory.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Quantum geometry from higher gauge theory

Reference 68

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T19:27:24.578206Z

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Observation dff1864b-2d43-4b3b-9166-25b58a069e47 · outbound

This paper cites A 2-categorical state sum model.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors A 2-categorical state sum model

Reference 69

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Observation 04420daf-17fa-401b-98e5-80b9882d3fa4 · outbound

This paper cites 2-Group Representations for Spin Foams.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors 2-Group Representations for Spin Foams

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:27:24.527834Z

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Observation fb833443-fc35-483f-a8bb-9fa72e8b5f2e · outbound

This paper cites Flowing in Group Field Theory Space: a Review.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Flowing in Group Field Theory Space: a Review

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-10T19:27:24.006305Z

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Observation 4b5c069e-826f-485d-8571-bcd063e644d8 · outbound

This paper cites Mean-field phase transitions in TGFT quantum gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Mean-field phase transitions in TGFT quantum gravity

Reference 72

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Observation 26bf3535-5352-4e47-b15b-e11bd1b6845e · outbound

This paper cites Editorial: Coarse graining in quantum gravity -- Bridging the gap between microscopic models and spacetime physics.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Editorial: Coarse graining in quantum gravity -- Bridging the gap between microscopic models and spacetime physics

Reference 73

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:27:24.470097Z

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Observation be825694-9312-40a8-b233-393758b16d3f · outbound

This paper cites The universe as a quantum gravity condensate.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors The universe as a quantum gravity condensate

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-10T19:27:24.023335Z

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Observation c7b74e73-f48e-4e64-8c68-71a656f29a03 · outbound

This paper cites Tensorial Group Field Theory condensate cosmology as an example of spacetime emergence in quantum gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Tensorial Group Field Theory condensate cosmology as an example of spacetime emergence in quantum gravity

Reference 75

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Observation 155e371d-ed5a-40f5-8ec7-9cf67004ffb8 · outbound

This paper cites Group field theory condensate cosmology: An appetizer.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Group field theory condensate cosmology: An appetizer

Reference 76

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Observation e01e952e-11c8-4183-93c3-824fa4aba216 · outbound

This paper cites Relativistic spin networks and quantum gravity.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Relativistic spin networks and quantum gravity

Reference 77

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Observation 515f889c-56a4-4ee0-a7ac-d634e9393cd2 · outbound

This paper cites Matrix Bases for Star Products: a Review.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Matrix Bases for Star Products: a Review

Reference 86

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:27:24.815643Z

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Observation 77cf0d1b-b6c8-44a3-8986-8e78e8777a29 · outbound

This paper cites an unresolved cited work.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 1703

Resolution: verified exact; doi, observed 2026-08-10T19:27:24.280112Z

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Observation 54e86fa2-013b-4c01-8272-3c7130cac5d5 · outbound

This paper cites an unresolved cited work.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors Unresolved cited work

Reference 1827

Resolution: verified exact; doi, observed 2026-08-10T19:27:24.327479Z

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Observation 21e5e242-e76e-47e4-a269-edfcbbbdab03 · outbound

This paper cites On relativistic spin network vertices.

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors On relativistic spin network vertices

Reference 2046

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