To Ray Chiao
So much for Ruth Kastner’s and Jenny Nielsen’s rejection of Bohmian trajectories on the Deepak Chopra Curious Minds videos. They are both not up on current developments, this and Aephraim Steinberg’s experiments in Toronto.
So much for Ruth Kastner’s and Jenny Nielsen’s rejection of Bohmian trajectories on the Deepak Chopra Curious Minds videos. They are both not up on current developments, this and Aephraim Steinberg’s experiments in Toronto.
This paper really looks good. I am studying it.
On the basis of this paper, I think the Type 1a data still fine since they claim to get the correct /\ > 0 with ~ (10^-123)(hc/Lp^4) energy density
Removal of classical initial singularity is to be expected with quantum corrections.
PS please tell Aephraim Steinberg that his experimental work showing Bohmian trajectories via weak measurements of Aharonv is wonderful.
"Cosmology from quantum potential
Ahmed Farag Ali 1,2 and Saurya Das 3†
1 Center for Theoretical Physics,
Zewail City of Science and Technology, Giza, 12588, Egypt.
2 Dept. of Physics, Faculty of Sciences,
Benha University, Benha, 13518, Egypt.
and
3 Department of Physics and Astronomy,
University of Lethbridge, 4401 University Drive,
Lethbridge, Alberta, Canada T1K 3M4
It was shown recently that replacing classical geodesics with quantal (Bohmian) trajectories gives
rise to a quantum corrected Raychaudhuri equation (QRE). In this article we derive the second
order Friedmann equations from the QRE, and show that this also contains a couple of quantum
correction terms, the first of which can be interpreted as cosmological constant (and gives a correct
estimate of its observed value), while the second as a radiation term in the early universe, which
gets rid of the big-bang singularity and predicts an infinite age of our universe.
The generally accepted view of our universe (homogeneous,
isotropic, spatially flat, obeying general relativity,
and currently consisting of about 72% Dark Energy,
likely in the form of a cosmological constant , about
23% Dark Matter, and the rest observable matter), implies
its small acceleration, as inferred from Type IA supernova
observations, CMBR data and baryon acoustic
oscillations [1–4]. However, quite a few things remain to
be better understood, e.g.,
(i) the smallness of , about 10−123 in Planck units (‘the
smallness problem’),
(ii) the approximate equality of vacuum and matter density
in the current epoch (‘the coincidence problem’),
(ii) the apparent extreme fine-tuning required in the early
universe, to have a spatially flat universe in the current
epoch (‘the flatness problem’),
(iv) the true nature of dark matter, and
(v) the beginning of our universe, or the so-called bigbang.
In this article, we show that one may be able to get
a better understanding of some of the above problems
by studying the quantum correction terms in the second
order Friedmann equation, derived from the quantum
corrected Raychaudhuri equation (QRE), which in
turn was obtained by replacing geodesics with quantal
(Bohmian) trajectories [5] (This formulation of quantum
mechanics gives rise to identical predictions as those
of ordinary quantum mechanics). In particular, while
one correction term can be interpretable as dark energy,
with the right density, and providing a possible
explanation of the coincidence problem, the other term
can be interpreted as a radiation term in the early universe,
preventing the formation of a big-bang type singularity,
and predicting an infinite age of our universe.
One naturally assumes a quantum mechanical description
of the fluid or condensate filling our universe, described
by a wavefunction ψ = Re^iS (assumed normalizable
and single valued."