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Logical analysis of the Bohr Complementarity Principle in Afshar's experiment under the NAFL interpretation | | Radhakrishnan Srinivasan
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15 Apr 2005 | | Subject: | Quantum Physics; Logic | quant-ph math.LO | | Abstract: | The NAFL (non-Aristotelian finitary logic) interpretation of quantum mechanics requires that no `physical’ reality can be ascribed to the wave nature of a photon. The NAFL theory QM, formalizing quantum mechanics, treats the superposed state ($S$) of a single photon taking two or more different paths at the same time as a logical contradiction that is formally unprovable in QM. Nevertheless, in a nonclassical NAFL model for QM in which the law of noncontradiction fails, $S$ has a meaningful metamathematical interpretation that the classical path information for the photon is not available (i.e., it has not been measured or axiomatically asserted). It is argued that even the existence of an interference pattern does not logically amount to a proof of the wave nature (self-interference) of a single photon. This fact, when coupled with the temporal nature of NAFL truth, implies the logical validity of the retroactive assertion of the path information in Afshar’s experiment; consequently, the Bohr Complementarity Principle holds, despite the co-existence of the interference pattern. NAFL supports, but not demands, a metalogical reality for the particle nature of the photon even for those times when the semantics of QM requires the state $S$. | | Source: | arXiv, quant-ph/0504115 | | Services: | Forum | Review | PDF | Favorites | |
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