On Monday, 31 December 2018 11:28:31 UTC-5, Chris L Peterson wrote:
On Mon, 31 Dec 2018 08:38:10 +0100, Paul Schlyter
wrote:

On Sun, 30 Dec 2018 10:03:55 -0700, Chris L Peterson
wrote:
On Sun, 30 Dec 2018 08:11:41 -0800 (PST), RichA

wrote:

On Sunday, December 30, 2018 at 11:05:00 AM UTC-5, Chris L
Peterson wrote:
On Sun, 30 Dec 2018 06:51:31 -0800 (PST), RichA

wrote:

https://phys.org/news/2018-12-univer...dimension.html

Interesting, but I still think nk string theory prevails. If
they could find a way to measure gravity bleed into the dimension, it
would be a great first step.

If you don't mind the math, the pre-print is available.

They are looking at a 5th dimensional de Sitter sphere. The
expanding
bubble we're in is 4-dimensional.

Are we in it, or on it?

We're on the 3D spatial surface of a 4D sphere. Time is the radial
axis.

But we must be inside the 4D sphere or else we would have no future.

No, we are on the surface. The surface is "now". The center is t=0
(actually, it is (0,0,0,0), the location of the Big Bang). The past is
inside the sphere, where it is not accessible to us.

If we are to take this literally, then the universe isn't flat, it has no end-point (for us) and building bigger telescopes means little.