The CHSH Test Can be Used for All Quantum-Describable Systems

Mind–Body Connection and Causation: Conceptual and Experimental Advances

“…Like in standard quantum theory, the notion of complementary observables is represented by the noncommutativity of the corresponding operators and that of entanglement by the nonfactorability of the vector-state. It has been shown in (Uzan 2014;2020) that Bell's test, its extensions to non-local correlations and its consequences regarding causation, which have already been successfully used in the strict quantum domain (Clauser and al 1969) where S(a a') is the mean value of the product of outcomes of the joint measure of observables A and A'(which have been normalized), and similarly for the other terms, with the following two theoretical bounds: the Bell bound, which is 2, marking the border between classical correlations due to a local determination and non-local correlations (Bell 1964) (Uzan2014a). If the absolute value R of the correlation factor is greater than these correlations can be regarded as causal interactions and if R is less than , the correlations studied are no-signaling, they cannot be explained by the exchange of any signal between the two considered sub-systems.…”

“…The generalized version of quantum theory used to derive the relevant bounds keeps the algebraic structure of quantum theory allowing to represent the essential concepts of complementarity and entanglement that are necessary to deal with situations involving mental processes, as shown by Aerts and his team (2011;2020) and by Busemeyer and Bruza (2012). This algebraic structure is thus appropriate for dealing with the mind-body problem (Uzan 2014a).…”

“…It is this property of entanglement 5 of psychosomatic states which would give rise to non-classical correlations between the psychic and somatic characteristics of the individual. All these theoretical developments are presented in more details in the references (Uzan 2014a;2016;2017;2020).…”