Revisiting factorability and indeterminism
Abstract
Perhaps it is not completely superfluous to remind that Clauser-Horne factorability, introduced in [1], is only necessary when λ, the hidden variable (HV), is sufficiently deterministic: for Mi a set of possible measurements (isolated or not by space-like intervals) on a given system, the most general sufficient condition for factorability on λ\ is obtained by finding a set of expressions Mi=Mi(λ,i), with i a set of HV's, all independent from one another and from λ. Otherwise, factorability can be recovered on γ = λ\ \ μ, with μ\ another additional HV, so that a description Mi=Mi(γ,i) is again found: conceptually, this is always possible; experimentally, it may not: μ\ 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].