“One Note Samba” approach to cosmology: How to connect Bose-Einstein Condensate, Ermakov-Pinney equation, Scalar Field Cosmology and Feshbach Resonance all at once

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Abstract

Inspired by “One Note Samba,” a standard jazz repertoire, we present an outline of Bose-Einstein Condensate Cosmology (BECC). Although this approach seems awkward and a bit off the wall at first glance, it is not impossible to connect altogether BEC, Scalar Field Cosmology and Feshbach Resonance with Ermakov-Pinney equation. We also discuss shortly possible link with our previous paper, where we describe Newtonian Universe with Vortex in terms of Ermakov equation.

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Florentin Smarandache
University of New Mexico

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