Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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 изданиях › статья › Рецензирование
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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