Planck Constant as Adiabatic Invariant Characterized by Hubble’s and Cosmological Constants

Abstract

Within the framework of Einstein-Cartan-Shr?dinger formalism with asymmetric connections, the Planck constant is calculated from the first principles (from geometry of our Universe), as the adiabatic invariant of electromagnetic field on the Riemann-Cartan manifold. The Planck constant, calculated with actually measured cosmological parameters, coincide with that one, measured in laboratory with precision up to the second digit. The non-local generalization of quantum theory is suggested. The fundamental sense of the Quantum Theory is discussed, and physical sense of the cosmological constant is revealed. Within the mentioned framework, the quantum theory is naturally unified with gravity.

Share and Cite:

Lipovka, A. (2014) Planck Constant as Adiabatic Invariant Characterized by Hubble’s and Cosmological Constants. Journal of Applied Mathematics and Physics, 2, 61-71. doi: 10.4236/jamp.2014.25009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Jammer, M. (1967) The Conceptual Development of Quantum Mechanics. Mc Graw Hill. New York.
[2] Ljjas, A., Steinhardt, P.J. and Loeb, A. (2013) Inflationary Paradigm in Trouble after Planck 2013.
[3] Einstein, A. (1906) Zur Theorie der Lichterzengung und Lichtabsorption. Annales der Physik, 20, 199-206. http://dx.doi.org/10.1002/andp.19063250613
[4] Einstein, A. (1905) Uber einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt. Annalen der Physik, 17, 132-148. http://dx.doi.org/10.1002/andp.19053220607
[5] Debye, P. (1910) Der Wahrscheinfichkeitsbegriff in der Theorie der Strahlung. Annalen der Physik, 33, 1427-1434. http://dx.doi.org/10.1002/andp.19103381617
[6] Grangier, P., Roger, G., Aspect, A. (1986) Experimental Evidence for a Photon Anticorrelation Effect on a Beam Splitter: A New Light on Single-Photon Interferences. EPL (Europhysics Letters), 1, 173-179. http://dx.doi.org/10.1209/0295-5075/1/4/004
[7] Riess, A.G., Macri, L., Casertano, S., et al. (2009) A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder. The Astrophysical Journal, 699, 539-563. http://dx.doi.org/10.1088/0004-637X/699/1/539
[8] Riess, A.G., Macri, L., Casertano, S., et al. (2011) A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3. The Astrophysical Journal, 730, 119-136. http://dx.doi.org/10.1088/0004-637X/730/2/119
[9] Demjanov, V.V. (2010) Experiments Performed in Order to Reveal Fundamental Differences Between the Diffraction and Interference of Waves and Electrons.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.