52
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Quantum Magellan theorem(the simplest NO-GO Theorem for hidden variables)

      Preprint

      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this work we study time reversal (that can be realistically simulated using two total mirrors) of the interaction between single photon and beam splitter, without any measuring apparatus (detector). For description of this effect we use, on the one hand, standard quantum mechanical formalism, \(SQM\). On the other hand, for description of the same effect, we use a hypothetical extension of the standard quantum mechanical formalism, so-called hidden variables theory, \(HVT\), that should satisfy only few following general propositions. First proposition is that at the \(SQM\) level of the analysis accuracy there are no effective distinctions between experimental facts, \(SQM\) predictions and \(HVT\) predictions. Second proposition is that at the hypothetically more accurate \(HVT\) level of the analysis accuracy there is deterministic, one-to-one correspondence between initial and final dynamical state of the physical system so that \(HVT\) dynamics is principally symmetric in respect to \(HVT\) characteristic time reversal transformation. However, we simply demonstrate on mentioned example that such \(HVT\) cannon exist that can be simply called quantum Magellan theorem (quantum mechanics represents "unique, Magellan straight" between "Atlantic ocean" of the macroscopic phenomena and "Great, Pacific ocean" of the microscopic phenomena). Obviously Magellan theorem can be considered as the simplest no-go theorem for a wide (potentially physically realistic) class of the hidden variables theories.

          Related collections

          Author and article information

          Journal
          13 October 2009
          2014-06-18
          Article
          0910.2328

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          PH-D/82-2012
          4 pages, no figures
          quant-ph

          Comments

          Comment on this article