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Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
General Relativity and Quantum Cosmology · Submitted 4 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim As the discussion makes clear, there remains much interesting work to do in establishing the connection between the fundamental theory of loop quantum gravity and these specific phenomenological models, in determining observational consequences of the characteristic aspects of loop quantum gravity, and in further refining current observations.
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The abstract, sentence by sentence
Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible links to loop quantum gravity. Particle frameworks, including kinematic models, broken and deformed Poincar\'e symmetry, non-commutative geometry, relative locality and generalized uncertainty principle, and field theory frameworks, including Lorentz violating operators in effective field theory and non-commutative field theory, are discussed. The arguments relating loop quantum gravity to models with modified dispersion relations are reviewed, as well as, arguments supporting the preservation of local Lorentz invariance. The phenomenology related to loop quantum cosmology is briefly reviewed, with a focus on possible effects that might be tested in the near future. As the discussion makes clear, there remains much interesting work to do in establishing the connection between the fundamental theory of loop quantum gravity and these specific phenomenological models, in determining observational consequences of the characteristic aspects of loop quantum gravity, and in further refining current observations. Open problems related to these developments are highlighted. characteristic aspects of loop quantum gravity, and in further refining current observations. Open problems related to these developments are highlighted.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s1 | In this review we discuss quantum gravity phenomenological models and their possible links to loop quantum gravity. | contribution 0.97 | 0.32 | 0.05 | asserted 0.45 |
| s2 | Particle frameworks, including kinematic models, broken and deformed Poincar\'e symmetry, non-commutative geometry, relative locality and generalized uncertainty principle, and field theory frameworks, including Lorentz violating operators in effective field theory and non-commutative field theory, are discussed. | contribution 0.85 | 0.17 | 0.03 | asserted 0.83 |
| s3 | The arguments relating loop quantum gravity to models with modified dispersion relations are reviewed, as well as, arguments supporting the preservation of local Lorentz invariance. | contribution 0.87 | 0.09 | 0.05 | asserted 0.58 |
| s4 | The phenomenology related to loop quantum cosmology is briefly reviewed, with a focus on possible effects that might be tested in the near future. | contribution 0.85 | 0.12 | 0.04 | asserted 0.34 |
| s5 | As the discussion makes clear, there remains much interesting work to do in establishing the connection between the fundamental theory of loop quantum gravity and these specific phenomenological models, in determining observational consequences of the characteristic aspects of loop quantum gravity, and in further refining current observations. | future work 0.90 | 0.16 | 0.76 | asserted 0.85 |
| s6 | Open problems related to these developments are highlighted. characteristic aspects of loop quantum gravity, and in further refining current observations. | future work 0.94 | 0.31 | 0.07 | asserted 0.73 |
| s7 | Open problems related to these developments are highlighted. | future work 0.90 | 0.61 | 0.06 | asserted 0.92 |
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The paper
Original abstract
Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible links to loop quantum gravity. Particle frameworks, including kinematic models, broken and deformed Poincar\'e symmetry, non-commutative geometry, relative locality and generalized uncertainty principle, and field theory frameworks, including Lorentz violating operators in effective field theory and non-commutative field theory, are discussed. The arguments relating loop quantum gravity to models with modified dispersion relations are reviewed, as well as, arguments supporting the preservation of local Lorentz invariance. The phenomenology related to loop quantum cosmology is briefly reviewed, with a focus on possible effects that might be tested in the near future. As the discussion makes clear, there remains much interesting work to do in establishing the connection between the fundamental theory of loop quantum gravity and these specific phenomenological models, in determining observational consequences of the characteristic aspects of loop quantum gravity, and in further refining current observations. Open problems related to these developments are highlighted. characteristic aspects of loop quantum gravity, and in further refining current observations. Open problems related to these developments are highlighted.
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References
How the literature uses it
15 arXiv papers cite this in 16 sentences
Papers citing it · 12 sentences without a confident label
Cites it as support 1 paper
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Even in DQGR/LQG models that preserve Lorentz invariance dispersion relation of gravitational waves [ref] and electromagnetic radiation [ref] may deviate from general relativity.
Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty)$-QGR · Kinematical and physical Hilbert spaces and reality conditions · 0.96
Cites it as background 3 papers
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Beyond that, the phenomenology of LQG is now a well-established field (see [ref] for a review).
Primordial tensor power spectrum in holonomy corrected Omega-LQC · Theoretical Framework · 0.97
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There are numerous approaches to quantum gravity, featuring Lorentz Invariance violation (LV), such as loop quantum gravity [ref] , noncommutative field theory [ref] , spacetime foam [ref] , some approaches in string theory [ref] , Horava-Lifshitz gravity [ref] and others (see [ref] for reviews).
One-loop correction to the photon velocity in Lorentz-violating QED · Introduction · 1.00
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This idea is the basis for searches of Lorentz-invariance violations; for a review on such attempts in loop quantum gravity, see [ref] .
Anomaly-free cosmological perturbations in effective canonical quantum gravity · Possible observations · 0.96
What it cites · 239 sentences without a confident label
Contests 5 papers
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[ref] showed that some well-known QG motivated modified dispersion relations (such as the Gambini–Pullin's [ref] ) actually do not satisfy some of the above assumptions.
Nonstandard optics from quantum spacetime · Broken Poincaré symmetries: Finsler geometry · contest 0.73
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[ref] showed that some well-known QG motivated modified dispersion relations (such as the Gambini–Pullin's [ref] ) actually do not satisfy some of the above assumptions.
Geometry of physical dispersion relations · Broken Poincaré symmetries: Finsler geometry · contest 0.73
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However Alfaro et al.pointed out that this is inconsistent; the only allowed canonical pairs in LQG are those that have the correct semi-classical limit and are obtained by canonical transformation [ref] .
On alternative approaches to Lorentz violation in loop quantum gravity inspired models · MDR from weave states · contest 0.72
Builds on 2 papers
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The correlation between the dimension 3 and 4 results could yield limits on $Υ$. * Building on [ref] is there non-integer scaling in the dispersion relations?
Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation · Generalizations and prospects for improved constraints · 0.87
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The correlation between the dimension 3 and 4 results could yield limits on $Υ$. * Building on [ref] is there non-integer scaling in the dispersion relations?
Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme · Generalizations and prospects for improved constraints · 0.87
Uses the method or tool of 2 papers
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Skipping the details found in [ref] , this approximation leads to the modified dispersion relations or mass-shell constraints in terms of momentum $p$ [equation] This is the eikonal equation, which can be seen as the covariant dispersion relation.
Geometry of physical dispersion relations · Broken Poincaré symmetries: Finsler geometry · 0.86
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The probability of finding the angle eigenvalue $θ_I$ in the mixed state $ρ_s⃗$ is [equation] This procedure can be used to calculate the probability in the continuum approximation [ref] [equation] The integration of equation [ref] is straightforward [ref] .
Shape in an Atom of Space: Exploring quantum geometry phenomenology · EFT Phenomenology without Lorentz violation: a combinatoric lever arm · 0.80
Uses data or values from 5 papers
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These modifications are derived from equation (117) of [ref] , retaining the original notation, apart from the Planck mass $$.
Quantum gravity and spin 1/2 particles effective dynamics · MDR from weave states · 0.81
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Using the vacuum birefringence effect and recent observations of the $γ$-ray burst GRB041219a, the dimension 5 photon parameter $ξ$ has been constrained $|ξ|≲10^-14$ [ref] .
A New Limit on Planck Scale Lorentz Violation from Gamma-ray Burst Polarization · Current bounds from astrophysical observation: summary · 0.80
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Using the vacuum birefringence effect and recent observations of the $γ$-ray burst GRB041219a, the dimension 5 photon parameter $ξ$ has been constrained $|ξ|≲10^-14$ [ref] .
Constraints on Lorentz Invariance Violation using INTEGRAL/IBIS observations of GRB041219A · Current bounds from astrophysical observation: summary · 0.80
Compares with 2 papers
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The leading order term is the same polarization-dependent modification as proposed in Gambini and Pullin [ref] .
Nonstandard optics from quantum spacetime · MDR from weave states · 1.00
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For more discussion on the comparison between these two operators, see [ref] .
The length operator in Loop Quantum Gravity · Length · 0.80
Cites as support 5 papers
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Assuming that the corresponding contravariant metric in momentum space to be the inverse spatial metric, we arrive at a universal modification of dispersion relations, [equation] In view of the universality of the effect – the independence of the form of matter in discussion – and the absence of any (explicit) preferred frame vector field, which could distinguish a preferred reference frame, it is argued in [ref] that the proper framework for these MDR is not Lorentz invariance breaking but a deformation with a helicity-independent, energy-dependent speed of photons.
Falsifiable predictions from semiclassical quantum gravity · MDR from Hamilton–Jacobi theory · 0.97
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One can show [ref] that the operators generated by radiative corrections produce effects that are incompatible with current particle data.
Lorentz invariance and quantum gravity: an additional fine-tuning problem? · The naturalness problem · 0.98
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One can show [ref] that the operators generated by radiative corrections produce effects that are incompatible with current particle data.
Lorentz Invariance Violation and its Role in Quantum Gravity Phenomenology · The naturalness problem · 0.98
Cites as background 49 papers
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In spite of this discouraging perspective, over one decade ago a striking paper by Amelino–Camelia et al. [ref] on quantum gravity phenomenology appeared.
Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo · Introduction · 0.89
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Sahlmann and Thiemann studied dispersion relations in a framework of QFT on curved space from basic LQG principles by heavily making use of approximations [ref] .
Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation · Quantum field theory in curved space from LQG · 0.85
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Sahlmann and Thiemann studied dispersion relations in a framework of QFT on curved space from basic LQG principles by heavily making use of approximations [ref] .
Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme · Quantum field theory in curved space from LQG · 0.85
Discussion
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