Quantum-Gravity Phenomenology: Status and Prospects

Amelino‐Camelia, Giovanni

doi:10.1142/s0217732302007612

Cited by 162 publications

(304 citation statements)

References 67 publications

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“…The requirement that Lorentz-transformations in momentum space have this scale as a second invariant leads to a class of Deformations of Special Relativity (DSR). As one of the most general expectations arising from a theory of quantum gravity, these modified Lorentz transformations have been studied extensively [1,2,3,4,5,6,7,8,9,10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Multiparticle states in deformed special relativity

Hossenfelder

2007

Phys. Rev. D

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We investigate the properties of multi-particle states in Deformed Special Relativity (DSR). Starting from the Lagrangian formalism with an energy dependent metric, the conserved Noether current can be derived which is additive in the usual way. The integrated Noether current had previously been discarded as a conserved quantity, because it was correctly realized that it does no longer obey the DSR transformations. We identify the reason for this mismatch in the fact that DSR depends only on the extensive quantity of total four-momentum instead of the energy-momentum densities as would be appropriate for a field theory. We argue that the reason for the failure of DSR to reproduce the standard transformation behavior in the well established limits is due to the missing sensitivity to the volume inside which energy is accumulated. We show that the soccer-ball problem is absent if one formulates DSR instead for the field densities. As a consequence, estimates for predicted effects have to be corrected by many orders of magnitude. Further, we derive that the modified quantum field theory implies a locality bound.

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Section: Introductionmentioning

confidence: 99%

Multiparticle states in deformed special relativity

Hossenfelder

2007

Phys. Rev. D

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“…[28,29,30]) that when Lorentz symmetry is broken at the Planck scale there can be significant implications for certain decay processes. At the qualitative level the most significant novelty would be the possibility for massless particles to decay.…”

Section: Photon Stabilitymentioning

confidence: 99%

On the theory and phenomenology of spacetime symmetries at the Planck scale

Amelino‐Camelia¹

2008

Proceedings of From Quantum to Emergent Gravity: Theory and Phenomenology — PoS(QG-Ph)

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“…"Doubly Special Relativity" (DSR) [6,7,8,9] is a semiclassical theory, formulated in flat space-time, yet significant at extremely high energy scales. It is based on a non-linear extension of the laws of Special Relativity [8].…”

Section: Nonlinear Relativitymentioning

confidence: 99%

“…In fact, there would exist such a frame in which the given energy scale would appear to surpass the limiting energy value predicted by quantum gravity. It is thus paradoxical for a "fundamental" scale to be relativistic, and so, in principle, we want to modify the transformations such that they hold this fundamental scale fixed while preserving observer independence [6,7,8]. This modification would manifest itself only as we approach extremely high energy scales.…”

Section: Nonlinear Relativitymentioning

confidence: 99%

Phenomenological Quantum Gravity

Kimberly¹,

Magueijo²

2005

AIP Conference Proceedings

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Abstract. These notes summarize a set of lectures on phenomenological quantum gravity which one of us delivered and the other attended with great diligence. They cover an assortment of topics on the border between theoretical quantum gravity and observational anomalies. Specifically, we review non-linear relativity in its relation to loop quantum gravity and high energy cosmic rays. Although we follow a pedagogic approach we include an open section on unsolved problems, presented as exercises for the student. We also review varying constant models: the Brans-Dicke theory, the Bekenstein varying α model, and several more radical ideas. We show how they make contact with strange high-redshift data, and perhaps other cosmological puzzles. We conclude with a few remaining observational puzzles which have failed to make contact with quantum gravity, but who knows... We would like to thank Mario Novello for organizing an excellent school in Mangaratiba, in direct competition with a very fine beach indeed. WHY QUANTUM GRAVITY?The subject of quantum gravity emerged as part of the unification program that led to electromagnetism and the electroweak model. We'd like to unify all forces of Nature. Forces other than gravity are certainly of a quantum nature. Thus we cannot hope to have a fully unified theory before quantizing gravity.To come clean about it right from the start, we should stress that there is no compelling experimental reason for quantizing gravity. For all we know, gravity could stand alone with respect to all other forces, and simply be exactly classical in all regimes. There is no evidence at all that the gravitational field ever becomes quantum 1 . Yet this hasn't deterred a large number of physicists from devoting lifetimes to this pursuit.Assaults on the problem currently follow two main trends: string/M theory [1, 2] and loop quantum gravity [3,4]. Both have merits and deficiencies, commented extensively elsewhere. As a poor third we mention Regge-calculus (and lattice techniques), non-commutative geometry, and several other methods none of which has fared better or worse than the two main strands.This course is not about those theories. Rather it's about the question: Where might experiment fit into these theoretical efforts of quantizing gravity? A middle ground has recently emerged -phenomenological quantum gravity. The requirements are simple: a phenomenological formalism must provide a believable approximation limit for more sophisticated approaches; it must also make clear contact with experimental anomalies that don't fit into our current understanding of the world. The following argument illustrates what we mean by this.When physicists find themselves at a loss they often turn to dimensional analysis. Following this simplistic philosophy we estimate the scales where quantum gravity effects may become relevant by building quantities with dimensions of energy, length and time fromh (the quantum), c (relativity) and G (gravity). These are called the Planck energy E P , the Planck length l P and t...

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Quantum-Gravity Phenomenology: Status and Prospects

Cited by 162 publications

References 67 publications

Multiparticle states in deformed special relativity

Multiparticle states in deformed special relativity

On the theory and phenomenology of spacetime symmetries at the Planck scale

Phenomenological Quantum Gravity

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