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Condensation of Planckian Modes and the Inflaton

2003/05/14 by R. Brout, Robert Brout, Brout, Robert · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0305054

Recipient of Honorable Mention in the Gravity Research Foundation Essay competition 2003. 6 pages

arxiv created 2003/05/14 · arxiv updated 2009/11/30

Abstract

To confront the transplanckian problem encountered in the backward extrapolation of the cosmological expansion of the momenta of the modes of quantum field theory, it is proposed that there is a reservoir, depository of transplanckian degrees of freedom. These are solicited by the cisplanckian modes so as to keep their density fixed and the total energy density of vacuum at a minimum. The mechanism is due to mode - reservoir interaction, whereupon virtual quantum processes give rise to an effective mode-mode attraction. A BCS condensate results. It has a massless and massy collective excitation, the latter identified with the inflaton. For an effective non dimensional mode-reservoir coupling constant, g approx 0.3, the order of magnitude of its mass is what is required to account for cosmological fluctuations i.e. O(10-6 -> 10-5)mPlanck.

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