A Universe that Does Not Know the Time

In this paper, we propose that cosmological time is a quantum observable that does not commute with other quantum operators essential for the definition of cosmological states, notably the cosmological constant. This is inspired by properties of a measure of time—the Chern–Simons...

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Main Authors: João Magueijo, Lee Smolin
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/3/84
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author João Magueijo
Lee Smolin
author_facet João Magueijo
Lee Smolin
author_sort João Magueijo
collection DOAJ
description In this paper, we propose that cosmological time is a quantum observable that does not commute with other quantum operators essential for the definition of cosmological states, notably the cosmological constant. This is inspired by properties of a measure of time&#8212;the Chern&#8211;Simons time&#8212;and the fact that in some theories it appears as a conjugate to the cosmological constant, with the two promoted to non-commuting quantum operators. Thus, the Universe may be &#8220;delocalised&#8222; in time: it does not <i>know</i> the time, a property which opens up new cosmological scenarios, as well as invalidating several paradoxes, such as the timelike tower of turtles associated with an omnipresent time line. Alternatively, a Universe with a sharply defined clock time must have an indeterminate cosmological constant. The challenge then is to explain how islands of localized time may emerge, and give rise to localized histories. In some scenarios, this is achieved by backward transitions in quantum time, cycling the Universe in something akin to a time machine cycle, with classical flow and quantum ebbing. The emergence of matter in a sea of Lambda probably provides the ballast behind classical behaviour.
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spelling doaj.art-7676e28ef3084ec49976b4e7ce9828ad2022-12-22T04:01:12ZengMDPI AGUniverse2218-19972019-03-01538410.3390/universe5030084universe5030084A Universe that Does Not Know the TimeJoão Magueijo0Lee Smolin1Theoretical Physics Group, The Blackett Laboratory, Imperial College, Prince Consort Rd., London SW7 2BZ, UKPerimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2J 2Y5, CanadaIn this paper, we propose that cosmological time is a quantum observable that does not commute with other quantum operators essential for the definition of cosmological states, notably the cosmological constant. This is inspired by properties of a measure of time&#8212;the Chern&#8211;Simons time&#8212;and the fact that in some theories it appears as a conjugate to the cosmological constant, with the two promoted to non-commuting quantum operators. Thus, the Universe may be &#8220;delocalised&#8222; in time: it does not <i>know</i> the time, a property which opens up new cosmological scenarios, as well as invalidating several paradoxes, such as the timelike tower of turtles associated with an omnipresent time line. Alternatively, a Universe with a sharply defined clock time must have an indeterminate cosmological constant. The challenge then is to explain how islands of localized time may emerge, and give rise to localized histories. In some scenarios, this is achieved by backward transitions in quantum time, cycling the Universe in something akin to a time machine cycle, with classical flow and quantum ebbing. The emergence of matter in a sea of Lambda probably provides the ballast behind classical behaviour.https://www.mdpi.com/2218-1997/5/3/84quantum gravityquantum cosmologydefinitions of time
spellingShingle João Magueijo
Lee Smolin
A Universe that Does Not Know the Time
Universe
quantum gravity
quantum cosmology
definitions of time
title A Universe that Does Not Know the Time
title_full A Universe that Does Not Know the Time
title_fullStr A Universe that Does Not Know the Time
title_full_unstemmed A Universe that Does Not Know the Time
title_short A Universe that Does Not Know the Time
title_sort universe that does not know the time
topic quantum gravity
quantum cosmology
definitions of time
url https://www.mdpi.com/2218-1997/5/3/84
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