Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logical analysis of the Bohr Complementarity Principle in Afshar's
  experiment under the NAFL interpretation   The NAFL (non-Aristotelian finitary logic) interpretation of quantum
mechanics requires that no `physical' reality can be ascribed to the wave
nature of the 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. It is
argued that the existence of an interference pattern does not logically amount
to a proof of the 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 (and the logical superfluousness
of the grid) in Afshar's experiment. The Bohr complementarity principle, when
properly interpreted with the time dependence of logical truth taken into
account, holds in Afshar's experiment. NAFL supports, but not demands, a
metalogical reality for the particle nature of the photon even when the
semantics of QM requires the state $S$.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga