3 years ago

# Semiclassical cosmology with back reaction: the Friedmann-Schrodinger equation and inflation.

Viqar Husain, Suprit Singh

We propose and study a semi-classical cosmological system akin to the Newton-Schr\"odinger equation where matter field evolution is determined by time dependent Schr\"odinger equation. The resulting dynamics is one where the scale factor self-consistently informs the quantum evolution of the scalar field wave function via the Friedmann equation. We study various potentials, and show that for each case, inflation arises naturally, without fine-tuning, for arbitrary initial wave functions for the scalar field. Furthermore, due to zero-point quantum fluctuations of the scalar field, the equation of state $P=-\rho$ arises dynamically at late times for all initial states and potentials.

Publisher URL: http://arxiv.org/abs/1811.03673

DOI: arXiv:1811.03673v1

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