As you probably already know, Einstein never did accept Quantum Mechanics.
fiddlesticks corresponds to the case above for electron filters when the
relative orientation is 90°. Bell published his theorem. As we shall see these
correlation experiments, both for electrons and photons, have been performed
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put together. Some such substances have similar correlations to the electron
source we have been considering, except that there is a difference of a
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Prescription) of two in the relative orientations of the polarisers. This is
yet another manifestation of the Heisenberg Uncertainty Principle. If the
relative orientation of the two polaroid filters for light is 45°, one half of
the light from fiddlesticks first filter will emerge from the second. You may
access an html or pdf version with the links to the right. For the radioactive
substance we will be considering here, one-half of the electrons incident on the
right hand filter emerge and one-half do not. We say that each radioactive decay
has a total spin of zero: if one electron is spin up its companion is spin down.
So we can have a sample emitting these pairs of electrons. We assume some
familiarity with the concept of wave-particle duality; a document on this may be
found fiddlesticks We also assume considerable familiarity with the
Stern-Gerlach experiment and the concept of a correlation experiment; a document
on these may be found here. There are radioactive substances that emits
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of photons similar the the pairs of electrons we have
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orientations, the correlation is 100%: if the
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the right hand electron does not pass, neither does its companion.
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the time Bohm had
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the book Einstein had convinced him that Quantum
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the decay to occur is not random, although the variable
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of the right hand electrons pass through their filter and one-half of the left
hand electrons pass through their filter. In 1964 J.S. It will appear in a
separate window. Of course, this is provided that both filters have the same
definition of up. The origins of this topic is a famous paper by Einstein, Rosen
and Podolsky (EPR)
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1935; its title was Can Quantum-Mechanical Description of Physical Reality be
Considered Complete? They considered what
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be part of Quantum Mechanics, and concluded that the theory must be incomplete
if not outright wrong. Thus, often we call the electron filters "polarisers.
When the two filters have perpendicular orientations, the correlation is 50%. It
was cast in terms of a hidden variable fiddlesticks Since then, other proofs
have appeared by d'Espagnat, Stapp, and others that are not fiddlesticks terms
of hidden variables. To the right is a case where the two filters have opposite
definitions of up. A Flash animation of up to 3 of these Stern-Gerlach filters
has been prepared. The two filters define "up" to be in perpendicular directions
to each other. For the mathphilic
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Pharmacy the actual formula is that the correlation is sin(a/2) squared,
where a is the relative angle between the filters. Here is a final example of
combining electron filters. Bohm then spent many years in search of hidden
variables, unobserved factors inside, say, a radioactive atom that determines
when it is going to decay. I absolutely guarantee that for any collection of
people this will turn out to be true fiddlesticks .
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