Revisiting factorability and indeterminism

Details Revisiting factorability and indeterminism Revisiting factorability and indeterminism

2011-11-24

arxiv.org/abs/1111.5746v1

Physics

Quantum Physics

Scientific paper

Perhaps it is not completely superfluous to remind that Clauser-Horne factorability, introduced in [1], is only necessary when \lambda, the hidden variable (HV), is sufficiently deterministic: for {M_i} a set of possible measurements (isolated or not by space-like intervals) on a given system, the most general sufficient condition for factorability on \lambda\ is obtained by finding a set of expressions M_i=M_i(\lambda,\xi_i), with {\xi_i} a set of HV's, all independent from one another and from \lambda. Otherwise, factorability can be recovered on \gamma = \lambda\ \oplus\ \mu, with \mu\ another additional HV, so that a description M_i=M_i(\gamma,\xi_i) is again found: conceptually, this is always possible; experimentally, it may not: \mu\ may be unaccessible or even its existence unknown (and so, too, from the point of view of a phenomenological theory). Results here may help clarify our recent post in [6].

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