On Saturday, January 25, 2025 at 10:05:20 PM UTC-7 Jesse Mazer wrote:

On Sat, Jan 25, 2025 at 9:56 PM Alan Grayson <agrays...@gmail.com> wrote:

On Saturday, January 25, 2025 at 6:57:31 PM UTC-7 Jesse Mazer wrote:

On Sat, Jan 25, 2025 at 8:29 PM Alan Grayson <agrays...@gmail.com> wrote:

On Saturday, January 25, 2025 at 12:11:15 PM UTC-7 Jesse Mazer wrote:

On Sat, Jan 25, 2025 at 1:57 PM Alan Grayson <agrays...@gmail.com> wrote:

On Saturday, January 25, 2025 at 6:57:27 AM UTC-7 John Clark wrote:

On Sat, Jan 25, 2025 at 5:11 AM Alan Grayson <agrays...@gmail.com> wrote:

*> IIUC,*


*According to Google, that means the "International Islamic University 
Chittagong", but it must not understand correctly.*
 

* > it's based on the assumption that the universe is infinite in spatial 
and temporal extent, but this is mistaken.*


*You're right, that is mistaken, so it's fortunate that Hugh Everett did 
not make that mistake. By the way, I don't feed trolls so if I hear any of 
that "Trump physics" crap this conversation is over.*

*> Our universe, by which I mean our bubble, is finite.*


*In Hugh Everett's Many Worlds theory the word "bubble" has no meaning 
although that word does have meaning in "Eternal Inflation" and in the 
"String Theory landscape", but as far as Everett's Many Worlds is concerned 
they are irrelevant, they may or may not be true.*


*i call it a Bubble to suggest an approximately spherical shape, which is 
implied by the Cosmological Red Shift, which has approximately the same 
value in every direction. So its shape is like a somewhat distorted sphere. 
AG *


*Max Tegmark has proposed 4 different types of "Many Worlds"*

*1) A spatial extension of our observable universe, perhaps by an infinite 
number of light years or perhaps by just an astronomical number of light 
years. *


*Falsified by the data, the age estimate of the universe. AG *


If the universe *were* infinite spatially (or at least much larger than the 
observable region), but still began in a Big Bang a finite time in the past 
(or at least we could not receive light signals from before then, even if 
there was something before as in 'eternal inflation' theories), do you 
think the observational data would be any different? Assuming a finite 
speed of light, the observable region would still be a finite size in this 
scenario, no?

Jesse


*You pose a compound question, so hard to answer. I am just dealing with 
our Bubble, nothing to do with Eternal Inflation. And within our Bubble, or 
any Bubble, I think the observable universe will be finite since the SoL is 
finite. Also, the unobservable part is estimated to be hugely larger, some 
estimates are 200 times larger but I'm not sure if that refers to its 
volume or radius. But with a finite age, it cannot evolve to infinity in 
spacial extent, no matter how fast it expands. That condition could only 
exist IMO if that was its initial condition. But as I wrote, that would be 
imposing another infinity on the BB (aside from infinite density at T=0), 
which again, IMO, is highly dubious. I'm not sure I answered your question, 
so you might have to rephrase it. AG*


In the math of general relativity the universe could have been spatially 
infinite at every finite time after the Big Bang, and the Big Bang itself 
is treated as a singularity so it need not have a well-defined size. But 
anyway, the argument you are making above about why you think the universe 
must be finite seems to be a theoretical one, but before that in the post I 
was responding to, you seemed to be saying an infinite universe was 
falsified by *empirical* data, not just theoretical arguments--is that 
right? 


*Yes. The finite age is empirical evidence that our universe cannot be 
infinite in spatial extent UNLESS that's its initial condition, which I 
reject as a type of a singularity. AG*
 

If you were making that claim, you should be ready to defend it even in the 
case where you grant for the sake of argument that there is no theoretical 
problem with the GR model of a universe that's infinite in size but began a 
finite time in the past (or at least agree to put aside all theoretical 
objections for the time being). Are you saying that even if you do put 
theoretical objections aside, you still think the empirical data is in 
conflict with the idea of an infinite universe that began a finite time in 
the past?


*Yes. I don't think I ever made a theoretical argument; just an empirical 
one that the universe was never spatially infinite, now or in the past. *


OK, but what are the specific empirical observations that you think 
conflict with the theory that it's infinite? 


*All measurements which support the conclusion that the age of the universe 
is finite, contradict the conclusion that the universe is infinite in 
spatial extent. AG*
 

If hypothetically it *was* infinite, but the speed of light was finite and 
it began a finite time in the past, would you expect in that case there 
WOULD be an upper limit to the distance we could observe (i.e. the 
observable universe would be finite, even it the unobserved part beyond 
that went forever), or that there WOULD NOT be any upper limit? (I would 
say the answer is obviously that there WOULD still be an upper limit 
because light can only travel a finite distance in a finite time, but I'm 
curious if you disagree)


*The relavant question IMO is whether or not the universe can BECOME 
spatially infinite in finite time, and the answer is definitely negative, 
and assuming this is correct, the unobservable region must have an upper 
bound. OTOH, if it is now spatially infinite, meaning no upper bound on the 
unobservable region, that means it was an initial condition which I reject 
as positing a singularity at T=0. AG*

 

*Cosmologists agree that the universe gets smaller as we go backward in 
time.*


They agree the observable universe gets smaller, and the distance between 
any pair of landmarks at rest relative to the cosmic background radiation 
(say, a pair of galaxies) gets smaller. But they do not make any claims 
about whether the *whole* universe gets smaller, since both of those things 
could be true even if the universe was infinite in size at all times.


*I generally agree. But it's hard to imagine a universe which is spatially 
infinite and yet expanding, which would mean the average distance between 
galaxies is increasing. AG *


Jesse


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