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The Franson Experiment as an Example of Spontaneous Breaking of Time-Translation Symmetry

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We describe an explicit statistical model of local hidden variables that reproduces the predictions of quantum mechanics for the ideal Franson experiment and sheds light on the physical mechanisms that… Click to show full abstract

We describe an explicit statistical model of local hidden variables that reproduces the predictions of quantum mechanics for the ideal Franson experiment and sheds light on the physical mechanisms that might be involved in the actual experiment. The crux of our model is the spontaneous breaking of time-translation gauge symmetry by the hidden configurations of the pairs of photons locked in time and energy involved in the experiment, which acquire a non-zero geometric phase through certain cyclic transformations.

Keywords: spontaneous breaking; time; franson experiment; time translation; breaking time

Journal Title: Symmetry
Year Published: 2022

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