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Karl Hess

Publications and source records attributed to Karl Hess.

26 records · Page 2Linked to original sources
arXiv2003

Exclusion of Time in Mermin's Proof of Bell-Type Inequalities

Mermin states that his nontechnical version of Bell's theorem stands and is not invalidated by time and setting dependent instrument parameters as claimed in one of our previous papers. We identify deviations from well-established protocol in probability theory as well as mathematical contradictions in Mermin's argument and show that Mermin's conclusions are therefore not valid: his proof does not go forward if certain possible time dependencies are taken into account.

quant-ph↗
arXiv2002

Response to Comment by Myrvold and Appleby

Myrvold and Appleby claim that our model for EPR experiments is non-local and that previous proofs of the Bell theorem go through even if our setting and time dependent instrument parameters are included. We show that their claims are false.

quant-ph↗
arXiv2002

Comment on Mermin's Recent Proof of the Theorem of Bell

Mermin states in a recent paper that his nontechnical version of Bell's theorem stands and is not invalidated by time and setting dependent instrument parameters as claimed in one of our previous papers. We identify a number of misinterpretations (of our definitions) and mathematical inconsistencies in Mermin's paper and show that Mermin's conclusions are therefore not valid: his proof does not go forward if certain possible time dependencies are taken into account.

quant-ph↗
arXiv2002

Logical Inconsistencies in Proofs of the Theorem of Bell

We discuss a class of proofs of Bell-type inequalities that are based on tables of potential outcomes. These proofs state in essence: if one can only imagine (or write down in a table) the potential outcome of a hidden parameter model for EPR experiments then a contradiction to experiment and quantum mechanics follows. We show that these proofs do not contain hidden variables that relate to time or, if they do, lead to logical contradictions that render them invalid.

quant-ph↗
arXiv2001

Einstein-separability, time related hidden parameters for correlated spins, and the theorem of Bell

We analyze the assumptions that are made in the proofs of Bell-type inequalities for the results of Einstein-Podolsky-Rosen type of experiments. We find that the introduction of time-like random variables permits the construction of a broader mathematical model which accounts for all correlations of variables that are contained in the time dependent parameter set of the backward light cone. It also permits to obtain the quantum result for the spin pair correlation, a result that contradicts Bell's inequality. Two key features of our mathematical model are (i) the introduction of time operators that are indexed by the measurement settings and appear in addition to Bell's source parameters and (ii) the related introduction of a probability measure for all parameters that does depend on the analyzer settings. Using the theory of B-splines, we then show that this probability measure can be constructed as a linear combination of setting dependent subspace product measures and that the construction guarantees Einstein-separability.

quant-ph↗