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Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension. / Sheykin, Anton; Manida, Sergey.

в: Universe, Том 6, № 10, 166, 01.10.2020.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{589fbcc48e8d47a7972c611de446da15,
title = "Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension",
abstract = "We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. L{\'e}vy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and “universal constants” (such as c and ℏ). We show that all of the known “natural” systems of units contain at least one non-universal constant. We discuss the possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a “fully universal” system of units, we propose a set of constants that consists of c, ℏ, and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by L{\'e}vy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants.",
keywords = "natural units, universal constants, Planck units, dimensional analysis, kinematic groups, Natural units, Universal constants, Dimensional analysis, Kinematic groups",
author = "Anton Sheykin and Sergey Manida",
note = "Publisher Copyright: {\textcopyright} 2020 MDPI Multidisciplinary Digital Publishing Institute. All rights reserved.",
year = "2020",
month = oct,
day = "1",
doi = "10.3390/UNIVERSE6100166",
language = "English",
volume = "6",
journal = "Universe",
issn = "2218-1997",
publisher = "MDPI AG",
number = "10",

}

RIS

TY - JOUR

T1 - Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension

AU - Sheykin, Anton

AU - Manida, Sergey

N1 - Publisher Copyright: © 2020 MDPI Multidisciplinary Digital Publishing Institute. All rights reserved.

PY - 2020/10/1

Y1 - 2020/10/1

N2 - We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and “universal constants” (such as c and ℏ). We show that all of the known “natural” systems of units contain at least one non-universal constant. We discuss the possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a “fully universal” system of units, we propose a set of constants that consists of c, ℏ, and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by Lévy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants.

AB - We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and “universal constants” (such as c and ℏ). We show that all of the known “natural” systems of units contain at least one non-universal constant. We discuss the possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a “fully universal” system of units, we propose a set of constants that consists of c, ℏ, and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by Lévy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants.

KW - natural units

KW - universal constants

KW - Planck units

KW - dimensional analysis

KW - kinematic groups

KW - Natural units

KW - Universal constants

KW - Dimensional analysis

KW - Kinematic groups

UR - https://www.mendeley.com/catalogue/c05f1466-4ac9-35e8-ae7e-91ea549ee3a7/

UR - http://www.scopus.com/inward/record.url?scp=85095128520&partnerID=8YFLogxK

U2 - 10.3390/UNIVERSE6100166

DO - 10.3390/UNIVERSE6100166

M3 - Article

VL - 6

JO - Universe

JF - Universe

SN - 2218-1997

IS - 10

M1 - 166

ER -

ID: 69884715