The Quantum Entropy as an Ultimate Visiting Card of the de Broglie–Bohm Theory
DOI:
https://doi.org/10.15407/ujpe57.9.946Keywords:
-Abstract
The de Broglie–Bohm theory is an interesting approach to quantum mechanics, which has the merit to describe atomic and subatomic processes without ascribing a special role to the observer and remaining faithful to the principle of causality and the motion dogma. In this article, a new suggestive interpretation of the de Broglie–Bohm theory is proposed. It is based on the idea that the quantum entropy is its ultimate visiting card in the quantum domain, in a relativistic curved space-time, and in the quantum gravity domain.
References
J. Von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, 1955).
C.F. von Weizsäcker, in The Physicist's Conception of Nature, edited by J. Mehra (Reidel, Boston, 1973).
E. Schrödinger, Naturwiss. 23, 48, 807, 823, 844 (1935).
https://doi.org/10.1007/BF01491891
S. Bergia, in Quanti Copenaghen? Bohr, Heisenberg e le Interpretazioni della Meccanica Quantistica, edited by I. Tassani (Ponte Vecchio, Cesena, 2004), p. 179.
D. Fiscaletti, I Fondamenti della Meccanica Quantistica. Un'Analisi Critica dell'Interpretazione Ortodossa, della Teoria di Bohm e della Teoria GRW (CLEUP, Padova, 2003).
D. Fiscaletti, I Gatti di Schrödinger. Meccanica Quantistica e Visione del Mondo (Muzzio Editore, Roma, 2007).
P.R. Holland, The Quantum Theory of Motion (Cambridge Univ. Press, Cambridge, 1993).
https://doi.org/10.1017/CBO9780511622687
D. Fiscaletti, Quant. Biosyst. 2, 93 (2007); www.quantumbionet.org.
L. de Broglie, J. de Phys. et Radium 8, 225 (1927).
https://doi.org/10.1051/jphysrad:0192700805022500
L. de Broglie, in Solvay Congress (1927), Electrons and photons: rapports et discussions du Cinquime Conseil de Physique tenu Bruxelles du 24 au Octobre 1927 sous les auspices de l'Istitut International de Physique Solvay (Gauthier-Villars, Paris, 1928).
D. Bohm, Phys. Rev. 85, 166 (1952).
https://doi.org/10.1103/PhysRev.85.166
R.E. Wyatt, Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Springer, New York, 2005).
S. Goldstein, R. Tumulka, and N. Zanghí, arXiv:0912.2666v1 [quant-ph] (2009).
D. Bohm and B.J. Hiley, The Undivided Universe: an Ontological Interpretation of Quantum Theory (Routledge, London, 1993).
https://doi.org/10.1063/1.2808635
D. Fiscaletti, Ukr. J. Phys. 57, 560 (2012).
https://doi.org/10.15407/ujpe57.9.946
D. Bohm, in Symposium on the Foundation of Modern Physics - 1987, edited by P. Lahti and P. Mittelstaedt (World Scientific, Singapore, 1988).
M. Abolhasani and M. Golshani, Ann. de la Fondat. L. de Broglie 28, 1 (2003).
V.I. Sbitnev, Kvant. Magiya 5, 1101 (2008); URL http://quantmagic.narod.ru/volumes/VOL512008/ p1101.html.
L. Brillouin, Science and Information Theory (Dover, New York, 2004).
E.R. Bittner, http://arXiv.org/abs/quant-ph/0001119 (2000).
B. Poirier, http://arXiv.org/abs/0803.0193 (2008).
P.V. Poluyan, Kvant. Magiya, 2, 3119 (2005); http://quantmagic.narod.ru/volumes/VOL232005/p3119.html.
V.I. Sbitnev, Int. J. of Bifurc. and Chaos 19, 2335 (2009)
https://doi.org/10.1142/S0218127409024104
arXiv:0808.1245v1 [quant-ph] (2008).
C. Grosche, Path Integrals, Hyperbolic Spaces, and Selberg Trace Formulae (World Scientific, Singapore, 1996).
A. Shojai and F. Shojai, Phys. Scr. 64, 413 (2001).
https://doi.org/10.1238/Physica.Regular.064a00413
F. Shojai and A. Shojai, arXiv:gr-qc/0404102 v1 (2004).
L. de-Broglie, Non-Linear Wave Mechanics, (Elsevier, Amsterdam, 1960).
T. Horiguchi, Mod. Phys. Lett. A 9, 1429 (1994).
https://doi.org/10.1142/S021773239400126X
A. Blaut and J.K. Glikman, Class. Quant. Grav. 13, 39 (1996).
https://doi.org/10.1088/0264-9381/13/1/005
S.P. Kim, Phys. Lett. A 236, 11 (1997).
https://doi.org/10.1016/S0375-9601(97)00744-5
S.P. Kim, Phys. Rev. D 55, 7511 (1997).
https://doi.org/10.1103/PhysRevD.55.7511
Bohmiam Mechanics and Quantum Theory: An Appraisal, edited by J.T. Cushing, A. Fine, and S. Goldstein (Kluwer, Boston, 1996).
J.A. de Barros, N. Pinto-Neto, and M.A. Sagioro-Leal, Phys. Lett. A 241, 229 (1998).
https://doi.org/10.1016/S0375-9601(98)00169-8
F. Shojai and M. Golshani, Int. J. Mod. Phys. A. 13, 677 (1998).
https://doi.org/10.1142/S0217751X98000305
R. Colistete, J.C. Fabris, and N. Pinto-Neto, Phys. Rev. D 57, 4707 (1998).
https://doi.org/10.1103/PhysRevD.57.4707
P. Pinto-Neto and R. Colistete, Phys. Lett. A 290, 219 (2001).
https://doi.org/10.1016/S0375-9601(01)00674-0
J. Marto and P.V. Moniz, Phys. Rev. D 65, 023516 (2001).
https://doi.org/10.1103/PhysRevD.65.023516
Kenmoku, R. Sato, and S. Uchida, Class. Quantum Grav. 19, 799 (2002).
https://doi.org/10.1088/0264-9381/19/4/311
F. Shojai, A. Shojai, and M. Golshani, Mod. Phys. Lett. A 13, 2725 (1998).
https://doi.org/10.1142/S0217732398002898
F. Shojai, A. Shojai, and M. Golshani, Mod. Phys. Lett. A., 13, 2915 (1998).
https://doi.org/10.1142/S0217732398003090
A. Shojai, F. Shojai, and M. Golshani, Mod. Phys. Lett. A 13, 2965 (1998).
https://doi.org/10.1142/S0217732398003144
F. Shojai and A. Shojai, Int. J. Mod. Phys. A 15, 1859 (2000).
https://doi.org/10.1142/S0217751X0000080X
A. Shojai, Int. J. Mod. Phys. A 15, 1757 (2000); arXiv:gr-qc/0010013.
https://doi.org/10.1142/S0217751X0000077X
F. Shojai and A. Shojai, arXiv: gr-qc/0306099 (2003).
Y.M. Cho and D.H. Park, Nuovo Cim. B 105, 817 (1990). https://doi.org/10.1007/BF02741549
J. Kowalski-Glikman, arXiv:gr-qc/9511014 v1 (1995).
F. Shojai and A. Shojai, J. High En. Phys. 5, 037 (2001). https://doi.org/10.1088/1126-6708/2001/05/037
A. Shojai, F. Shojai, arXiv.gr-qc/0311076 v1 (2003).
A. Shojai and F. Shojai, Phys. Scr. 68, 207 (2003). https://doi.org/10.1238/Physica.Regular.068a00207
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
