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The Pioneer anomaly: the measure of a topological phase defect of light in cosmology

J. L. Rosales
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Abstract

It is shown that a wave vector representing a light pulse in an adiabatically evolving expanding space should develop, after a round trip (back and forth to the emitter) a geometric phase for helicity states at a given fixed position coordinate of this expanding space.In a section of the Hopf fibration of the Poincare sphere that identifies a projection to the physically allowed states, the evolution defines a parallel transported state that can be joined continuously with the initial state by means of the associated Berry-Pancharatnam connection. The connection allows to compute an anomaly in the frequency for the vector modes in terms of the scale factor of the space-time background being identical to the reported Pioneer Anomaly.

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J. L. Rosales. 2005-02-08. The Pioneer anomaly: the measure of a topological phase defect of light in cosmology. https://doi.org/10.1007/s10701-005-9027-7

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