On 1/23/2020 2:53 AM, John Clark wrote:
On Wed, Jan 22, 2020 at 9:53 PM Alan Grayson <[email protected]
<mailto:[email protected]>> wrote:
>>If empty space has a residual intrinsic energy of any value
greater than zero, which General Relativity allows for and
Quantum Mechanics demands,
> /WRT QM, are you depending on the HUP to make this statement? AG/
Quantum Mechanics demands that virtual particles give empty space an
intrinsic energy, although the number it came up with was 10^120 times
larger than what the observed value turned out to be. And IHA.
>> then the expansion of the universe will accelerate.
/> Why? /
Because that's what the 4D tensor equations of General Relativity say.
>> If the universe is accelerating then it is open regardless of
what its spatial shape is, regardless of how many degrees the
angles of a triangle add up to (please remember the term
"spatial shape" is not equivalent with the term "spacetime
shape").
/> Maybe the issue is whether the universe has infinite or finite
volume, and "closure" is irrelevant? AG /
When you ask "is the universe infinite?" if you don't mean can you
keep getting further from your starting point forever then I don't
know what you mean by the question.
But that happens in an arbitrarily small space that is expanding. The
proper definition is you need infinite coordinate values to label all
the distinct points.
*> */A hyper-sphere has no edge or boundary, and if it is
expanding, you might never return to your starting point/
Exactly.
/> even though it is finite in spatial volume./
If the Universe is finite then you should be able to visit every cubic
meter of it, at least in principle.
Only on the principle that you can go faster than the expansion rate
between any two points of the universe...which appears to be false even
for a small part of the universe.
But in a expanding and accelerating universe you can't.
Even if the universe has the topology of a sphere and hence is closed
and finite. I don't see why you have a problem with a finite, expanding
space in which you can't reach every point of it because you speed is
limited. Having limited speed and space being infinite are different
things.
Brent
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