Parity at the Planck scale

We explore the possibility that well known properties of the parity operator, such as its idempotency and unitarity, might break down at the Planck scale. Parity might then do more than just swap right and left polarized states and reverse the sign of spatial momentum k: it might generate superposit...

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Main Authors: Michele Arzano, Giulia Gubitosi, João Magueijo
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318303113
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author Michele Arzano
Giulia Gubitosi
João Magueijo
author_facet Michele Arzano
Giulia Gubitosi
João Magueijo
author_sort Michele Arzano
collection DOAJ
description We explore the possibility that well known properties of the parity operator, such as its idempotency and unitarity, might break down at the Planck scale. Parity might then do more than just swap right and left polarized states and reverse the sign of spatial momentum k: it might generate superpositions of right and left handed states, as well as mix momenta of different magnitudes. We lay down the general formalism, but also consider the concrete case of the Planck scale kinematics governed by κ-Poincaré symmetries, where some of the general features highlighted appear explicitly. We explore some of the observational implications for cosmological fluctuations. Different power spectra for right handed and left handed tensor modes might actually be a manifestation of deformed parity symmetry at the Planck scale. Moreover, scale-invariance and parity symmetry appear deeply interconnected. Keywords: Discrete symmetries, Quantum Gravity phenomenology
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spelling doaj.art-d34bb0e50d74488b8de55e90155511c62022-12-21T17:17:47ZengElsevierPhysics Letters B0370-26932018-06-01781510516Parity at the Planck scaleMichele Arzano0Giulia Gubitosi1João Magueijo2Dipartimento di Fisica, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy; Sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, ItalyRadboud University, Institute for Mathematics, Astrophysics and Particle Physics, Heyendaalseweg 135, NL-6525 AJ Nijmegen, the Netherlands; Dipartimento di Fisica, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy; Corresponding author.Theoretical Physics, Blackett Laboratory, Imperial College, London, SW7 2BZ, United KingdomWe explore the possibility that well known properties of the parity operator, such as its idempotency and unitarity, might break down at the Planck scale. Parity might then do more than just swap right and left polarized states and reverse the sign of spatial momentum k: it might generate superpositions of right and left handed states, as well as mix momenta of different magnitudes. We lay down the general formalism, but also consider the concrete case of the Planck scale kinematics governed by κ-Poincaré symmetries, where some of the general features highlighted appear explicitly. We explore some of the observational implications for cosmological fluctuations. Different power spectra for right handed and left handed tensor modes might actually be a manifestation of deformed parity symmetry at the Planck scale. Moreover, scale-invariance and parity symmetry appear deeply interconnected. Keywords: Discrete symmetries, Quantum Gravity phenomenologyhttp://www.sciencedirect.com/science/article/pii/S0370269318303113
spellingShingle Michele Arzano
Giulia Gubitosi
João Magueijo
Parity at the Planck scale
Physics Letters B
title Parity at the Planck scale
title_full Parity at the Planck scale
title_fullStr Parity at the Planck scale
title_full_unstemmed Parity at the Planck scale
title_short Parity at the Planck scale
title_sort parity at the planck scale
url http://www.sciencedirect.com/science/article/pii/S0370269318303113
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AT giuliagubitosi parityattheplanckscale
AT joaomagueijo parityattheplanckscale