Robust predictions for the large-scale cosmological power deficit from primordial quantum nonequilibrium

Understand

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 {\xi}(k) remains an inverse-tangent function of k.