Semiclassical cosmology with back reaction: the Friedmann-Schrodinger equation and inflation. (arXiv:1811.03673v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Husain_V/0/1/0/all/0/1">Viqar Husain</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Singh_S/0/1/0/all/0/1">Suprit Singh</a>
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.
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.
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