Global dynamics for Newton and Planck

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00636702" target="_blank" >RIV/68378271:_____/21:00636702 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Global dynamics for Newton and Planck
Original language description
We discuss recently introduced scale-free Einstein equations, where the information from their trace part is lost. These equations are classically equivalent to General Relativity, yet the Newton constant becomes a constant of integration or a global dynamical degree of freedom. Thus, from the point of view of standard quantization, this effective Newton constant is susceptible to quantum fluctuations. This is similar to what happens to the cosmological constant in the unimodular gravity where the trace part of the Einstein equations is lost in a different way. Using analogy with the Henneaux-Teitelboim covariant action for the unimodular gravity, we consider different general-covariant actions resulting in these dynamics. This setup allows one to formulate the Heisenberg uncertainty relations for the Newton constant and canonically conjugated quantities. Unexpectedly, one of such theories also promotes the Planck's quantum constant to a global degree of freedom, which is subject to quantum fluctuations.
Czech name
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Czech description
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Project
<a href="/en/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Cosmology, Gravity and the Dark Sector of the Universe</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 55th Rencontres de Moriond Gravitation
ISBN
979-109687914-4
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
145-154
Publisher name
ARISF
Place of publication
Paris
Event location
Virtual Meeting
Event date
May 9, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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