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The Pioneer's Anomalous Doppler Drift as a Berry Phase

J. L. Rosales
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Abstract

The detected anomalous frequency drift acceleration in Pioneer's radar data finds its explanation in a Berry phase that obtains the quantum state of a photon that propagates within an expanding space-time. The clock acceleration is just the adiabatic expansion rate and an analogy between the effect and Foucault's experiment is fully suggested. In this sense, light rays play a similar role in the expanding space than Foucault's Pendulum does while determining Earth's rotation. On the other hand, one could speculate about a suitable future experiment at "laboratory" scales able to measure the local cosmological expansion rate using the procedure outlined in this paper.

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J. L. Rosales. 2004-05-13. The Pioneer's Anomalous Doppler Drift as a Berry Phase. https://arxiv.org/abs/gr-qc/0401014

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