# The Mach–Zehnder Interferometer

16 Mar 2017-pp 49-55

About: The article was published on 2017-03-16. It has received None citations till now. The article focuses on the topics: Twyman–Green interferometer & Mach–Zehnder interferometer.

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TL;DR: A realistic, spacetime interpretation of quantum theory in which reality constitutes a *single* history obeying a "law of motion" that makes definite, but incomplete, predictions about its behavior.

Abstract: We propose a realistic, spacetime interpretation of quantum theory in which reality constitutes a *single* history obeying a "law of motion" that makes definite, but incomplete, predictions about its behavior. We associate a "quantum measure" |S| to the set S of histories, and point out that |S| fulfills a sum rule generalizing that of classical probability theory. We interpret |S| as a "propensity", making this precise by stating a criterion for |S|=0 to imply "preclusion" (meaning that the true history will not lie in S). The criterion involves triads of correlated events, and in application to electron-electron scattering, for example, it yields definite predictions about the electron trajectories themselves, independently of any measuring devices which might or might not be present. (So we can give an objective account of measurements.) Two unfinished aspects of the interpretation involve *conditonal* preclusion (which apparently requires a notion of coarse-graining for its formulation) and the need to "locate spacetime regions in advance" without the aid of a fixed background metric (which can be achieved in the context of conditional preclusion via a construction which makes sense both in continuum gravity and in the discrete setting of causal set theory).

97 citations

30 Jul 1995

TL;DR: In this paper, the authors propose a spacetime interpretation of quantum theory in which reality constitutes a single history obeying a "law of motion" that makes definite, but incomplete, predictions about its behavior.

Abstract: We propose a realistic, spacetime interpretation of quantum theory in which reality constitutes a single history obeying a “law of motion” that makes definite, but incomplete, predictions about its behavior. We associate a “quantum measure” —S— to the set S of histories, and point out that —S— fulfills a sum rule generalizing that of classical probability theory. We interpret —S— as a “propensity”, making this precise by stating a criterion for —S—=0 to imply “preclusion” (meaning that the true history will not lie in S). The criterion involves triads of correlated events, and in application to electron-electron scattering, for example, it yields definite predictions about the electron trajectories themselves, independently of any measuring devices which might or might not be present. (In this way, we can give an objective account of measurements.) Two unfinished aspects of the interpretation involve conditonal preclusion (which apparently requires a notion of coarsegraining for its formulation) and the need to “locate spacetime regions in advance” without the aid of a fixed background metric (which can be achieved in the context of conditional preclusion via a construction which makes sense both in continuum gravity and in the discrete setting of causal set theory).

86 citations