Existence Of Hidden Variables Research Articles

When Intrinsic Randomness Could Come From the Finite/Infinite Transition

Quantum physics is non-causal, and randomness is so-called “intrinsic”. We propose no less than an 18th interpretation of it through non-Archimedean geometry to bring back causality, respect of the Kolmogorov axioms and the existence of hidden variables. For these latter ones, we show that they cannot be in any Hilbert space and hence could not be detected in any traditional experiment. We end through proposing two experiments which would prove the non-Archimedean nature of our universe. The first one consists in a new disruptive type of quantum radar. The second one explains how viscosity naturally occurs in fluid mechanics whereas Boltzmann’s approach only considers elastic shocks at the molecular scale.

A Bell-type theorem without hidden variables

It is shown that no theory that satisfies certain premises can exclude faster-than-light influences. The premises include neither the existence of hidden variables nor counterfactual definiteness, nor any premise that effectively entails the general existence of outcomes of unperformed local measurements. All the premises are compatible with Copenhagen philosophy and the principles and predictions of relativistic quantum field theory. The present proof is contrasted with an earlier one with the same objective.

DO DICE REMEMBER

We discuss the question of the existence ofhidden variables within the formalism of Accardi andFedullo (1982). In particular, we introduce a newcondition at the level of hidden variable theories that we show to be sufficient in order to obtainnon-Kolmogorovian probabilities. We compare thiscondition with Aerts' (1986) and Czachor's (1992)conditions, and propose a new kind of experimental testaimed at revealing the existence of hiddenvariables.

Why god might play dice

We study the question of the existence of hidden variables within the formalism of Pitowsky. We show that probabilities admit factorizable hidden variable models iff they admit a Kolmogorovian representation. In particular, directly deduced experimental frequencies always admit a factorizable hidden variable model and thus a Kolmogorovian representation. We apply this result in the framework of Bell's inequalities. We show that a deterministic interpretation of the hidden variables associated with this situation refutes the possibility for the experimenter of choosing freely the conditions of experimentation.

Relativistic Brownian motion and the foundations of quantum mechanics

Within the context of the generalized stochastic interpretation of quantum mechanics it is possible to deduce the quantum principles as well as to resolve the EPR paradox. Moreover, the postulates of the stochastic space-time as proposed by Fredericket al. can be deduced in a consistent way. A new possibility arises of rethinking of the existence of hidden variables in quantum mechanics.