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Register a new userThe Pioneers Anomalous Doppler Drift as a Berry Phase
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Authors
J.L. Rosales
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The detected anomalous frequency drift acceleration in Pioneers 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 Foucaults experiment is fully suggested. In this sense, light rays play a similar role in the expanding space than Foucaults Pendulum does while determining Earths 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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The reported anomalous acceleration acting on the Pioneers spacecrafts could be seen as a consequence of the existence of some local curvature in light geodesics when using the coordinate speed of light in an expanding space-time. The effect is related with the non synchronous character of the underlying metric and therefore, planets closed orbits can not reveal it. It is shown that the cosmic expansion rate -the Hubble parameter H- has been indeed detected. Additionally, a relation for an existing annual term is obtained which depends on the cosine of the ecliptic latitude of the spacecraft, suggestingan heuristic analogy between the effect and Foucaults experiment - light rays playing a similar role in the expanding space than Foucaults Pendulum does while determining Earths rotation. This statement could be seen as a benchmark for future experiments.
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Anderson, et al. (gr-qc/9808081) have recently reported the discovery of an apparent anomalous, weak, long-range acceleration in the Pioneer 10/11 and Ulysses spacecraft. I believe that this result can be explained by non-isotropic radiative cooling of the spacecraft electronics through passive radiators on the spacecraft surface. These radiators are preferentially placed on the anti-solar side of the spacecraft to avoid heating by solar radiation. The power transmitted through these radiator panels can explain the observed acceleration within the observational errors.
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