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2015:vasil_penchev [2015/05/28 10:29]
berislav created
2015:vasil_penchev [2015/05/28 11:01] (current)
berislav
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 ====== Beyond and across space: entanglement ====== ====== Beyond and across space: entanglement ======
 +[[http://​issk-bas.org/​%D0%BB%D0%BE%D0%B3%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8-%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B8-%D0%B8-%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D0%B8/​|Vasil Penchev]]
 +<fs 75%>
 +\\ //Institute for the Study of Societies and Knowledge at Bulgarian Academy of Sciences//
 +</fs>
 +<​blockquote>​
 +**Extended abstract**
  
-<​blockquote>​Einstein, Podolsky, and Rosen (1935) suggested a thought experiment in order to demonstrate that quantum mechanics was ostensibly incomplete. Furthermore,​ they showed that the mathematical formalism of quantum mechanics had been granted as complete, it would imply some action at a distance beyond and across space, “spooky” in words of Einstein. Since that kind of action contradicted the principle of physics, quantum mechanics should be incomplete in their opinion. Edwin Schrödinger (1935) also pointed out that quantum mechanics implies some special kind of interaction between quantum systems by means of “vershränkten zustände” using his term.  John Bell (1964) suggested a real experiment apt to distinguish quantitatively and observably between the classical case without that “spooky action at a distance” and the quantum one involving a special kind of correlation between physical systems, which can exceed the maximally possible limit of correlation in classical physics. The experiments of Aspect, Grangier, and Roger (1981, 1982) as well as all later ones show unambiguously that the forecast quantum correlations are observable phenomena. Thus that “spooky action at a distance” exists and quantum mechanics should be complete. The new phenomenon was called “entanglement” and a separate branch of quantum mechanics, the theory of quantum mechanics, studying that kind of phenomena has appeared and blossomed out since the 90th of the past century. ​  +Einstein, Podolsky, and Rosen (1935) suggested a thought experiment in order to demonstrate that quantum mechanics was ostensibly incomplete. Furthermore,​ they showed that the mathematical formalism of quantum mechanics had been granted as complete, it would imply some action at a distance beyond and across space, “spooky” in words of Einstein. Since that kind of action contradicted the principle of physics, quantum mechanics should be incomplete in their opinion. Edwin Schrödinger (1935) also pointed out that quantum mechanics implies some special kind of interaction between quantum systems by means of “vershränkten zustände” using his term.  John Bell (1964) suggested a real experiment apt to distinguish quantitatively and observably between the classical case without that “spooky action at a distance” and the quantum one involving a special kind of correlation between physical systems, which can exceed the maximally possible limit of correlation in classical physics. The experiments of Aspect, Grangier, and Roger (1981, 1982) as well as all later ones show unambiguously that the forecast quantum correlations are observable phenomena. Thus that “spooky action at a distance” exists and quantum mechanics should be complete. The new phenomenon was called “entanglement” and a separate branch of quantum mechanics, the theory of quantum mechanics, studying that kind of phenomena has appeared and blossomed out since the 90th of the past century. ​  
 The theory of quantum information showed that the phenomena of entanglement are underlain by the necessary restriction of the concept of space in relation to the coherent states in quantum mechanics. Space is a well-ordered set of points in relation to any observer or reference frame in it while coherent state in quantum mechanics is a whole of those points, which is inseparable and thus unorderable in principle. Both space and coherent state are initial elements of cognition mutually restricting their applicability. However, space refers to our everyday experience while the concept of coherent state or entanglement to scientific cognition in an area inaccessible to our senses. The concept of space should be limited to the relations between physical bodies of commeasurable mass. If a human is granted as an observer in space, the range of masses comparable with that mass (or energy) determines fussily the domain, in which the concept of space is applicable. The theory of quantum information showed that the phenomena of entanglement are underlain by the necessary restriction of the concept of space in relation to the coherent states in quantum mechanics. Space is a well-ordered set of points in relation to any observer or reference frame in it while coherent state in quantum mechanics is a whole of those points, which is inseparable and thus unorderable in principle. Both space and coherent state are initial elements of cognition mutually restricting their applicability. However, space refers to our everyday experience while the concept of coherent state or entanglement to scientific cognition in an area inaccessible to our senses. The concept of space should be limited to the relations between physical bodies of commeasurable mass. If a human is granted as an observer in space, the range of masses comparable with that mass (or energy) determines fussily the domain, in which the concept of space is applicable.
  
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   *Aspect, A, Grangier, R., Roger, G. (1981) Experimental tests of realistic local theories via Bell’s theorem. //Physical Review Letters//, 47(7), 460-463. ​   *Aspect, A, Grangier, R., Roger, G. (1981) Experimental tests of realistic local theories via Bell’s theorem. //Physical Review Letters//, 47(7), 460-463. ​
   *Aspect, A, Grangier, R., Roger, G. (1982) Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedanken Experiment: A New Violation of Bell’s Inequalities. //Physical Review Letters//, 49(2), 91-94.   *Aspect, A, Grangier, R., Roger, G. (1982) Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedanken Experiment: A New Violation of Bell’s Inequalities. //Physical Review Letters//, 49(2), 91-94.
-  *Bell, J. (1964) On the Einstein ‒ Podolsky ‒ Rosen paradox. /Physics// (New York), 1 (3), 195-200. +  *Bell, J. (1964) On the Einstein ‒ Podolsky ‒ Rosen paradox. ​//Physics// (New York), 1 (3), 195-200. 
-  *Broglie, L. de (1925) Recherches sur la théorie des quanta ​(Researches on the quantum theory), Thesis (Paris), 1924. //Annales de Physique// (Paris, 10-ème série) 3, 22-128.+  *Broglie, L. de (1925) Recherches sur la théorie des quanta Researches on the quantum theory), Thesis (Paris), 1924. //Annales de Physique// (Paris, 10-ème série) 3, 22-128.
   *Einstein, A., Podolsky, B., Rosen, N. (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? //Physical Review//, 47 (10), 777-780.   *Einstein, A., Podolsky, B., Rosen, N. (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? //Physical Review//, 47 (10), 777-780.
   *Schrödinger,​ E. (1935) Die gegenwärtige situation in der Quantenmechanik. //Die Naturwissenschaften//, ​ 23(48), 807-812; 23(49), 823-828; 23(50), 844-849.   *Schrödinger,​ E. (1935) Die gegenwärtige situation in der Quantenmechanik. //Die Naturwissenschaften//, ​ 23(48), 807-812; 23(49), 823-828; 23(50), 844-849.
 </​blockquote> ​ </​blockquote> ​
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