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Energy-time Entanglement, Elements of Reality, and Local Realism
In this talk, I will discuss energy-time entanglement experiments and
their relation to Einstein-Podolsky-Rosen elements of reality, and
ultimately to the question of local realism. The experiment proposed by
J. D. Franson in 1989 will be used as an example, and some observations
will be made on the possibility of establishing EPR elements of reality
in this setup. A number of modifications to this experiment will also be
reviewed, and their properties from this point of view. Even though the
different experimental setups give the same interference pattern, the
available EPR elements of reality determine if local realism can be
tested or not, and the size of the violation. The same interference
pattern can imply a) no violation, b) smaller violation than usual from
the Bell inequality, or c) full violation of the Bell inequality. This
needs to be taken into account when designing and setting up future
experiments intended to test local realism.