On some conclusions from the relations of Planck quantities
https://doi.org/10.18384/2949-5067-2024-4-54-85
Abstract
Aim. Search for a variant of the LT system of units that is maximally consistent with the international SI and the subsystems of the CGS system of units.
Methodology. The analysis of the ratios of physical quantities in the international SI, CGS subsystems and Planck LT systems of units is carried out. A method is proposed for determining the values of physical quantities according to the criterion of the maximum degree of consistency between the recommended CODATE values of constants for defining coupling equations.
Results. Conditionally accurate values of the Planck length are obtained ℓp = 1.616255272206877 ∙ 10-35 ∙ 𝑚, the fine structure constant 𝛼 = 7.297352564390205 ∙ 10-3, and a number of other physical constants were obtained. A variant of the Planck LT system of units is proposed and the conversion coefficients between the electromagnetic quantities of the analyzed systems of units are clarified.
Research implications. It consists in the possibility of using the PLT system of units and conditionally accurate values of a number of physical constants for computational methods and mathematical models of physical processes in various fields of science and technology.
About the Author
K. L. NikonenkoRussian Federation
Konstantin L. Nikonenko (Moscow) – Independent Researcher
Moscow
References
1. Luzum, B., Capitaine, N., Fienga, A., Folkner, W., Fukushima, T. et al. (2011). The IAU 2009 system of astronomical constants: the report of the IAU working group on numerical standards for Fundamental Astronomy. In: Celestial Mechanics and Dynamical Astronomy, 110, 293–304. DOI: 10.1007/s10569-011-9352-4-4 (in Russ.).
2. Maxwell, J. C. (1989). On the Measurement of Quantities. In: Maxwell, J. C. A Treatise on Electricity and Magnetism. Vol. 1. Moscow: Nauka publ., pp. 29–54.
3. di Bartini, R. O. (1966). Relationships between physical quantities. In: Problems of the theory of gravitation and elementary particles. Moscow: -4 (in Russ.). Atomizdat publ., pp. 249–266.
4. CODATA. Fundamental Physical Constants from NIST. In: National Institute of Standards and Technology. URL: https://physics.nist.gov/cuu/Constants/index.html (accessed: 30.08.2024).
5. Jackson, J. D. (1999). Appendix of Units and Dimensions. In: Jackson, J. D. Classical Electrodynamics. New York: Wiley, pp. 775–784.
6. Cardarelli, F. (2003). Other Systems of Units. Cgs, Gauss, IEUS, a.u. In: Cardarelli, F. Encyclopaedia of Scientific Units, Weights and Measures Their SI Equivalences and Origins / English translation by M. J. Shields, FllnfSc, MITI. London: Springer, pp. 20–25.
7. Pavese, F. (2018). The New SI and the CODATA recommended values of the fundamental constants 2017 compared with 2014, with a Comment to “Possolo et al., Metrologia 55 (2018) 29”. In: ArXiv.org: e-Print archive. URL: https://arxiv.org/abs/1512.03668 (accessed: 30.08.2024).
8. Magueijo, J. (2003). New varying speed of light theories. In: Reports on Progress in Physics, 66 (11), 2025–2068. DOI: 10.1088/0034–4885/66/11/R04.
9. Li, Q., Xue, C., Liu, J.-P., Wu, J.-F., Yang, S.-Q. et al. (2018). Measurements of the gravitational constant using two independent methods. In: Nature, 560, 582–588. DOI: 10.1038/s41586-018-0431-5.
10. Merkatas, C., Toman, B., Possolo, A. & Schlamminger, S. (2019). Shades of dark uncertainty and consensus value for the Newtonian constant of gravitation. In: Metrologia, 56 (5): Focus on Measurements of the Newtonian Constant of Gravitation, 054001. DOI: 10.1088/1681-7575/ab3365.
11. Izmailov, V. P., Karagioz, O. V. & Parkhomov, A. G. (1999). Study of variations in the results of measurements of the gravitational constant. In: Physical Thought of Russia, 1/2, 20–26 (in Russ).
12. Nikonenko, K. L. (2023). On the issue of estimating the accuracy of the values of fundamental physical constants. In: Issues of technical and physical-mathematical sciences in light of modern research. Vol. 1 (50). Novosibirsk: LLC “Sibirskaya Akademicheskaya Kniga” publ., pp. 26–59 (in Russ).
13.