Time, Finite Statistics, and Bell’s Fifth Position
نویسنده
چکیده
In this contribution to the 2002 Vaxjo conference on the foundations of quantum mechanics and probability, I discuss three issues connected to Bell’s theorem and Bell-CHSH-type experiments: time and the memory loophole, finite statistics (how wide are the error bars, under local realism?), and the question of whether a loophole-free experiment is feasible, a surprising omission on Bell’s list of four positions to hold in the light his results. Lévy’s (1935) theory of martingales, and Fisher’s (1935) theory of randomization in experimental design, take care of time and of finite statistics. I exploit a (classical) computer network metaphor for local realism to argue that Bell’s conclusions are independent of how one likes to interpret probability. I give a critique of some recent anti-Bellist literature.
منابع مشابه
Finite-resolution measurement of the nonclassical polarization statistics of entangled photon pairs
By limiting the resolution of quantum measurements, measurement-induced changes of the quantum state can be reduced, permitting subsequent measurements of variables that do not commute with the initially measured property. It is then possible to determine correlations between noncommuting variables experimentally. The application of this method to the polarization statistics of entangled photon...
متن کاملStatistics, Causality and Bell’s theorem
Bell’s (1964) theorem is popularly supposed to establish the non-locality of quantum physics as a mathematical-physical theory. Building from this, observed violation of Bell’s inequality in experiments such as that of Aspect and coworkers (1982) is popularly supposed to provide empirical proof of non-locality in the real world. This paper reviews recent work on Bell’s theorem, linking it to is...
متن کاملFinite-time Flocking of Multi-agent System with Input Saturation
In this paper a finite-time flocking of multi-agent system with input saturation is investigated. By introducing a new control protocol, it is show that speed and position of agents with double-integrator dynamics converge to the speed and position of leader in finite time. It is assumed that the graph between the agents is connected and that at least one agent is informed of the leader speed a...
متن کاملLocality and Bell's Inequality
WARNING This is a revised version with respect to the one submitted on Mon, 3 Jul 2000. By mistake an earlier version and not the final one was submitted. Abstract We prove that the locality condition is irrelevant to Bell in equality. We check that the real origin of the Bell’s inequality is the assumption of applicability of classical (Kolmogorovian) probability theory to quantum mechanics. W...
متن کاملAccardi Contra Bell (cum Mundi): the Impossible Coupling Final Version, 18/09/02
An experimentally observed violation of Bell’s inequality is supposed to show the failure of local realism to deal with quantum reality. However, finite statistics and the time sequential nature of real experiments still allows a loophole for local realism. We show that the randomised design of the Aspect experiment closes this loophole. Our main tool is van de Geer’s (1995, 2000) martingale ve...
متن کامل