01 January 1970 100 10K Report

Should this set of Constants Originate in the Equations that Dominate the Existence and Evolution of Nature?

There are over 300 physical constants in physics [1][2], c, h, G, e, α, me, mp, θ, μ0, g, H0, Λ, ...... with different definitions [3], functions and statuses; some of them are measured, some are derived [4] and some are conjectured [5]. There is a recursive relationship between physical constants, capable of establishing, from a few constants, the dimensions of the whole of physics [6], such as SI Units. There is a close correlation between physical constants and the laws of physics. Lévy-Leblond said, any universal fundamental constant may be described as a concept synthesizer expressing the unification of two previously unconnected physical concepts into a single one of extended validity [7], such as, the mass-energy equation E = mc^2. Physics is skeptical that many constants are constant constants [8], even including the speed of light invariance. But "letting a constant vary implies replacing it by a dynamical field consistently" [9], in order to avoid being trapped in a causal loop, we have to admit that there is a set of fundamental constants that are eternally invariant*.

So which physical constants are the most fundamental natural constants? Are they the ones that have invariance, Lorentz invariance, gauge invariance, diffeomorphism invariance [10]? Planck's 'units of measurement' [11], combines the relationship between the three constants Planck constant h, speed of light c, gravitational constant G. "These quantities will retain their natural meaning for as long as the laws of gravity, the propagation of light in vacuum and the two principles of the theory of heat hold, and, even if measured by different intelligences and using different methods, must always remain the same."[12] This should be the most unignorable reference to the best provenance of these constants, which should be the coefficients of some extremely important equations? [13]

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Notes

* They are eternal and unchanging, both at the micro and macro level, at any stage of the evolution of the universe, even at the Big Bang, the Big Crash.

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References

[1] Group, P. D., P. Zyla, R. Barnett, J. Beringer, O. Dahl, D. Dwyer, D. Groom, C.-J. Lin, K. Lugovsky and E. Pianori (2020). "Review of particle physics." Progress of Theoretical and Experimental Physics 2020(8): 083C001.

[2] Tiesinga, E. (2021). "CODATA recommended values of the fundamental physical constants: 2018."

[3] https://www.nist.gov/programs-projects/fundamental-constants-nature;

[4] DuMond, J. W. (1940). "A Complete Isometric Consistency Chart for the Natural Constants e, m and h." Physical Review 58(5): 457.

[5] Carroll, S. M., W. H. Press and E. L. Turner (1992). "The cosmological constant." Annual review of astronomy and astrophysics 30: 499-542.

[6] Martin-Delgado, M. A. (2020). "The new SI and the fundamental constants of nature." European Journal of Physics 41(6): 063003.

[7] Lévy-Leblond, J.-M. (1977, 2019). "On the Conceptual Nature of the Physical Constants". The Reform of the International System of Units (SI), Philosophical, Historical and Sociological Issues.

[8] Dirac, P. A. M. (1979). "The large numbers hypothesis and the Einstein theory of gravitation " Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 365.1720: 19-30.

Webb, J., M. Murphy, V. Flambaum, V. Dzuba, J. Barrow, C. Churchill, J. Prochaska and A. Wolfe (2001). "Further evidence for cosmological evolution of the fine structure constant." Physical Review Letters 87(9): 091301.

[9] Ellis, G. F. and J.-P. Uzan (2005). "c is the speed of light, isn't it?" American journal of physics 73(3): 240-247.

[10] Utiyama, R. (1956). "Invariant theoretical interpretation of interaction." Physical Review 101(5): 1597.

Gross, D. J. (1995). "Symmetry in physics: Wigner's legacy." Physics Today 48(12): 46-50.

[11] Stoney, G. J. (1881). "LII. On the physical units of nature." The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 11(69): 381-390.

Meschini, D. (2007). "Planck-Scale Physics: Facts and Beliefs." Foundations of Science 12(4): 277-294.

[12] Robotti, N. and M. Badino (2001). "Max Planck and the 'Constants of Nature'." Annals of Science 58(2): 137-162.

[13] Preprint The Relationship Between the Theory of Everything and the Co...

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