Hidden Variables with Nonlocal Time

Author： Nikolić Hrvoje  

Publisher： Springer Publishing Company

ISSN： 0015-9018

Source： Foundations of Physics, Vol.42, Iss.5, 2012-05, pp. : 632-646

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

To relax the apparent tension between nonlocal hidden variables and relativity, we propose that the observable proper time is not the same quantity as the usual proper-time parameter appearing in local relativistic equations. Instead, the two proper times are related by a nonlocal rescaling parameter proportional to |ψ|2, so that they coincide in the classical limit. In this way particle trajectories may obey local relativistic equations of motion in a manner consistent with the appearance of nonlocal quantum correlations. To illustrate the main idea, we first present two simple toy models of local particle trajectories with nonlocal time, which reproduce some nonlocal quantum phenomena. After that, we present a realistic theory with a capacity to reproduce all predictions of quantum theory.

Related content

Problem with nonlocal two-point condition in time for a homogeneous partial differential equation of infinite order with respect to space variables

By Kalenyuk P.   Kohut I.   Nytrebych Z.  

Journal of Mathematical Sciences, Vol. 167, Iss. 1, 2010-05 ,pp. : 1-15 (15)

Springer Publishing Company

Access to resources Recommend Favorite

Approximate Hidden Variables

By Zisis M.  

Foundations of Physics, Vol. 30, Iss. 7, 2000-07 ,pp. : 971-1000 (30)

Springer Publishing Company

Access to resources Recommend Favorite

Traces, Dispersions of States and Hidden Variables

By Hamhalter Jan  

Foundations of Physics Letters, Vol. 17, Iss. 6, 2004-11 ,pp. : 581-597 (17)

Springer Publishing Company

Access to resources Recommend Favorite

Hidden Measurements, Hidden Variables and the Volume Representation of Transition Probabilities

By Oliynyk Todd  

Foundations of Physics, Vol. 35, Iss. 1, 2005-01 ,pp. : 85-107 (23)

Springer Publishing Company

Access to resources Recommend Favorite

Solomon’s Argument on Hidden Variables in Quantum Theory

By Whitaker M.  

Foundations of Physics, Vol. 37, Iss. 6, 2007-06 ,pp. : 989-997 (9)

Springer Publishing Company

Access to resources Recommend Favorite