Planck evidence for a closed Universe and a possible crisis for cosmology
Nat Astron (2019) doi:10.1038/s41550-019-0906-9

“Planck cosmic microwave background spectra now preferring a positive curvature at more than the 99% confidence level. Here, we further investigate the evidence for a closed Universe from Planck, showing that positive curvature naturally explains the anomalous lensing amplitude, and demonstrating that it also removes a well-known tension in the Planck dataset concerning the values of cosmological parameters derived at different angular scales.“

And article by Eleonora Di Valentino, Alessandro Melchiorri & Joseph Silk, Nature Astronomy (November 4, 2019) doi:10.1038/s41550-019-0906-9 https://arxiv.org/abs/1911.02087

First email to this group: 7 November 2019 @ 4:30 PM
Revised email to this group: November 8, 2019

Dear Prof. Dr. Alessandro Melchiorri (Corresponding Author),
(and Prof. Dr. Eleonora Di Valentino and Prof. Dr. Joseph Silk):

There should be no crisis for cosmology!

We all want to live within the best possible understanding of our actual reality. A closed-Universe model is easily created by starting with Planck Time, Planck Length, Planck Mass and Planck charge, and by applying base-2, encapsulating the universe within 202 exponential notations that start at the very first moment of space and time and goes to the current age-and-size of the Universe.

That is a simple closed universe. Totally idiosyncratic, it should open many new doors to explore. That could be quite exciting.

First, we find the 202 notations: https://81018.com/chart/
That link opens to all the numbers horizontally scrolled.
Then we’ll find the first 64 notations that are virtually unexplored.

This work comes out of a high school so I apologize if there are silly errors. Also, we did a comparison of that progression of numbers with the definition of the Big Bang epochs within the standard model: https://81018.com/calculations/ It all compares quite well.

So we just might have our cake and eat it, too. Of course, we’ll need to jump
on the Rovelli bandwagon (along with Richard Muller of Berkeley and others)
and finally grasp a new understanding of our illusion of time’s arrow.

Thank you for all your work. Congratulations. Brilliant!

Warmly,
Bruce