Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 25, Issue 6, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271816500681
Keywords
de Broglie-Bohm; pilot-wave theory; tests of quantum theory; CMB anomalies
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Funding
- John Templeton Foundation
- Clemson University
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The de Broglie-Bohm pilot-wave formulation of quantum theory allows the existence of physical states that violate the Born probability rule. Recent work has shown that in pilot-wave field theory on expanding space relaxation to the Born rule is suppressed for long-wavelength field modes, resulting in a large-scale power deficit xi(k) which for a radiation-dominated expansion is found to have an approximate inverse-tangent dependence on k (assuming that the width of the initial distribution is smaller than the width of the initial Born-rule distribution and that the initial quantum states are evenly-weighted superpositions of energy states). In this paper, we show that the functional form of xi(k) is robust under changes in the initial nonequilibrium distribution - subject to the limitation of a subquantum width - as well as under the addition of an inflationary era at the end of the radiation-dominated phase. In both cases, the predicted deficit.(k) remains an inverse-tangent function of k. Furthermore, with the inflationary phase the dependence of the fitting parameters on the number of superposed pre-inflationary energy states is comparable to that found previously. Our results indicate that, for the assumed broad class of initial conditions, an inverse-tangent power deficit is likely to be a fairly general and robust signature of quantum relaxation in the early universe.
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