The pioneer anomaly: the measure of a topological phase defect of light in cosmology
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Publication:2505952
DOI10.1007/S10701-005-9027-7zbMATH Open1119.83358arXivquant-ph/0501041OpenAlexW2027853188MaRDI QIDQ2505952
Publication date: 28 September 2006
Published in: Foundations of Physics (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/quant-ph/0501041
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