LHV theories based on loophole in Bell's theorem
Vladimir Z. Nuri
I've just finished an ambitious paper on two LHV (local
hidden variable) theories based on a `loophole' in
Bell's theorem. the postscript paper (21 pages, 7 figures)
is available at:
http://www8.pair.com/mnajtiv/#physics
please email me any comments. in particular I'm looking for
people who have an email account at an academic
institution who could endorse this paper for
archival on the physics paper server xxx.lanl.gov
(they don't accept unaffiliated submissions by default).
thanks very much;
note: some of these ideas have been explored previously
in a simpler form by David Elm on his web page,
www.tiac.net/users/davidelm/epr.htm
here's the abstract:
This paper furthers the long historical examination of
and debate on the foundations of quantum mechanics (QM)
by presenting two local hidden variable (LHV)
rules in the context of the EPRB experiment which
violate Bell's inequality, but which are nevertheless
local and deterministic under reasonable definitions of
the terms, and coincide approximately with the conventional QM
prediction.
The theories are based on the general idea
of probabilistic detection of particles depending on an
interaction of hidden variables within the measuring device
and particle. The crucial discrepancy of variations in the
hidden variable distribution based on relative polarizer
orientations is isolated which invalidates assumptions
in Bell-type theorems.
The first theory can be analyzed completely symbolically
whereas the second was analyzed using numerical methods.
The properties of the second in particular are shown to be
approximately consistent with the reported results and uncertainties
in all three Aspect experiments. Variation in the total photons
detected over orientations is shown to be a basic characteristic
of these theories.
Some comments on the relevance of active vs. passive locality
are made. Two sections consider these ideas relative to energy
conservation and the measurement problem (collapse of
the wavefunction). One section proposes new experiments.
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