On 1/13/2020 2:10 AM, Alan Grayson wrote:
The model says that a subset of the universe starts
small and gets bigger. This is not inconsistent with
the whole universe starting and remaining infinite in
spatial extent.
--
Stathis Papaioannou
*I thought I made that clear; what I am calling "the
universe" is precisely the SUBSET you refer to, which
starts small and gets bigger. It is THAT SUBSET which
cosmologists claim has infinite spatial extent, based on
measurements. *
First, a proper subset of an infinite set can also be infinite (in fact
that's one definition of "infinite"). Second, nobody measures an
infinite portion of the universe. We can only measure the curvature of
the part we can see. Third, it is not clear what is THAT SUBSET to which
you refer. Cosmologists are aware that only an initially infinite
subset of space can be infinite after a finite expansion. They refer to
a part of the universe that is beyond observation as being within the
"particle horizon" because it consists of the evolved locations of
things which are seen now as they were 14 billion years ago. Those
things are now 49 billion light years away due to the expansion...which
is sometimes referred to as the present diameter of the observable
universe.https://en.wikipedia.org/wiki/Particle_horizon
Brent
*What you're calling "the whole universe" includes the
underlying entity on which the BB started, and on which
measurements CANNOT be made. It could be infinite in
spatial extent, or is possibly an entity for which the
concept of spatial extent might not exist. AG*
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