Classicalization of Quantum Fluctuations at the Planck Scale in the R_h=ct Universe. (arXiv:2105.05059v1 [gr-qc] CROSS LISTED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Melia_F/0/1/0/all/0/1">Fulvio Melia</a>

The quantum to classical transition of fluctuations in the early universe is
still not completely understood. Some headway has been made incorporating the
effects of decoherence and the squeezing of states, though the methods and
procedures continue to be challenged. But new developments in the analysis of
the most recent Planck data suggest that the primordial power spectrum has a
cutoff associated with the very first quantum fluctuation to have emerged into
the semi-classical universe from the Planck domain at about the Planck time. In
this paper, we examine the implications of this result on the question of
classicalization, and demonstrate that the birth of quantum fluctuations at the
Planck scale would have been a `process’ supplanting the need for a
`measurement’ in quantum mechanics. Emerging with a single wavenumber, these
fluctuations would have avoided the interference between different degrees of
freedom in a superposed state. Moreover, the implied scalar-field potential had
an equation-of-state consistent with the zero active mass condition in general
relativity, allowing the quantum fluctuations to emerge in their ground state
with a time-independent frequency. They were therefore effectively quantum
harmonic oscillators with classical correlations in phase space from the very
beginning.

The quantum to classical transition of fluctuations in the early universe is
still not completely understood. Some headway has been made incorporating the
effects of decoherence and the squeezing of states, though the methods and
procedures continue to be challenged. But new developments in the analysis of
the most recent Planck data suggest that the primordial power spectrum has a
cutoff associated with the very first quantum fluctuation to have emerged into
the semi-classical universe from the Planck domain at about the Planck time. In
this paper, we examine the implications of this result on the question of
classicalization, and demonstrate that the birth of quantum fluctuations at the
Planck scale would have been a `process’ supplanting the need for a
`measurement’ in quantum mechanics. Emerging with a single wavenumber, these
fluctuations would have avoided the interference between different degrees of
freedom in a superposed state. Moreover, the implied scalar-field potential had
an equation-of-state consistent with the zero active mass condition in general
relativity, allowing the quantum fluctuations to emerge in their ground state
with a time-independent frequency. They were therefore effectively quantum
harmonic oscillators with classical correlations in phase space from the very
beginning.

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