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Mathematics of Eternity Prove The Universe Must Have Had A Beginning
MIT Technology Review ^ | 04/26/2012

Posted on 04/26/2012 3:13:30 PM PDT by SeekAndFind

Cosmologists use the mathematical properties of eternity to show that although universe may last forever, it must have had a beginning

kfc 04/24/2012


The Big Bang has become part of popular culture since the phrase was coined by the maverick physicist Fred Hoyle in the 1940s. That's hardly surprising for an event that represents the ultimate birth of everything.

However, Hoyle much preferred a different model of the cosmos: a steady state universe with no beginning or end, that stretches infinitely into the past and the future. That idea never really took off.

In recent years, however, cosmologists have begun to study a number of new ideas that have similar properties. Curiously, these ideas are not necessarily at odds with the notion of a Big Bang.

For instance, one idea is that the universe is cyclical with big bangs followed by big crunches followed by big bangs in an infinite cycle. 

Another is the notion of eternal inflation in which different parts of the universe expand and contract at different rates. These regions can be thought of as different universes in a giant multiverse. 

So although we seem to live in an inflating cosmos,  other universes may be very different. And while our universe may look as if it has a beginning, the multiverse need not have a beginning.

Then there is the idea of an emergent universe which exists as a kind of seed for eternity and then suddenly expands. 

So these modern cosmologies suggest that the observational evidence of an expanding universe is consistent with a cosmos with no beginning or end. That may be set to change.

Today, Audrey Mithani and Alexander Vilenkin at Tufts University in Massachusetts say that these models are mathematically incompatible with an eternal past. Indeed, their analysis suggests that these three models of the universe must have had a beginning too.

Their argument focuses on the mathematical properties of eternity--a universe with no beginning and no end. Such a universe must contain trajectories that stretch infinitely into the past. 

However, Mithani and Vilenkin point to a proof dating from 2003 that these kind of past trajectories cannot be infinite if they are part of a universe that expands in a specific way. 

They go on to show that cyclical universes and universes of eternal inflation both expand in this way. So they cannot be eternal in the past and must therefore have had a beginning. "Although inflation may be eternal in the future, it cannot be extended indefinitely to the past," they say.

They treat the emergent model of the universe differently, showing that although it may seem stable from a classical point of view, it is unstable from a quantum mechanical point of view. "A simple emergent universe model...cannot escape quantum collapse," they say.

The conclusion is inescapable. "None of these scenarios can actually be past-eternal," say Mithani and Vilenkin. 

Since the observational evidence is that our universe is expanding, then it must also have been born in the past. A profound conclusion (albeit the same one that lead to the idea of the big bang in the first place).  

Ref: arxiv.org/abs/1204.4658: Did The Universe Have A Beginning?


TOPICS: History; Science
KEYWORDS: creation; eternity; evolution; universe
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1 posted on 04/26/2012 3:13:40 PM PDT by SeekAndFind
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To: SeekAndFind

I don’t believe it is expanding. I beieve it is undulating


2 posted on 04/26/2012 3:15:43 PM PDT by Sacajaweau
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To: SeekAndFind
a- is where Obama was elected.
3 posted on 04/26/2012 3:18:17 PM PDT by the invisib1e hand
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To: SeekAndFind

“In the beginning, God created the Universe. This made many people upset and was generally regarded a bad move.” - Hitchhikers Guide to the Galaxy.


4 posted on 04/26/2012 3:19:32 PM PDT by dfwgator (Don't wake up in a roadside ditch. Get rid of Romney.)
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To: SeekAndFind

my head hurts...


5 posted on 04/26/2012 3:19:42 PM PDT by pricilla (one should always try to be smarter than the equipment one is operating - Amajato)
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To: Sacajaweau

Writhing.


6 posted on 04/26/2012 3:20:24 PM PDT by cripplecreek (What does it profit a man if he gains the whole world but loses his soul?)
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To: SeekAndFind

This is too complicated for me. I’ll just believe that God created the universe and ask him to explain the dynamics of creation when I see him.


7 posted on 04/26/2012 3:20:24 PM PDT by Son-Joshua (son-joshua)
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To: All

They keep using a strait line method. I wonder what the results would be like if the theory emulated nature...as in cycles.


8 posted on 04/26/2012 3:25:11 PM PDT by PrairieLady2
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To: onedoug

ping


9 posted on 04/26/2012 3:25:16 PM PDT by windcliff
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To: SeekAndFind
r instance, one idea is that the universe is cyclical with big bangs followed by big crunches followed by big bangs in an infinite cycle.

Or something else.

10 posted on 04/26/2012 3:26:37 PM PDT by Noumenon ("I tell you, gentlemen, we have a problem on our hands." Col. Nicholson-The Bridge on the River Qwai)
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To: Sacajaweau

actually, the bible says it was expanded, and I think implies this is continuing.

http://www.creationists.org/God-streched-out-the-universe-bible-verses.html

Keep in mind these verses were written LONG before the invention of the telescope!

Also, the bible mentions a part of the heavens that are empty. Since the invention of the telescope, we have confirmed that it exists, and the location (to the north, relative from the earth, or looking from the earth’s view toward our north polar region).


11 posted on 04/26/2012 3:36:57 PM PDT by BereanBrain
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To: Sacajaweau
I beieve it is undulating

Or breathing.

12 posted on 04/26/2012 3:44:04 PM PDT by UCANSEE2 (Lame and ill-informed post)
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To: SeekAndFind
There are three certainties in this.

The Infinite exists.

Reality exists.

And all that exists now defines a temporal, non-eternal, limited time touch of Reality.

13 posted on 04/26/2012 3:48:35 PM PDT by OldNavyVet
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To: BereanBrain
Also, the bible mentions a part of the heavens that are empty. Since the invention of the telescope, we have confirmed that it exists, and the location (to the north, relative from the earth, or looking from the earth’s view toward our north polar region).

Then how do you explain Open cluster NGC 188? Or Galaxy NGC 3172 among other objects?

14 posted on 04/26/2012 3:49:02 PM PDT by dragnet2 (Diversion and evasion are tools of deceit)
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To: PrairieLady2

It would be the basic sine wave.

The basis of all existence in the physical world. The movement away from zero , back and forth between positive and negative.


15 posted on 04/26/2012 3:49:25 PM PDT by UCANSEE2 (Lame and ill-informed post)
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To: SeekAndFind
mathematical properties of eternity


16 posted on 04/26/2012 3:53:01 PM PDT by caveat emptor (Zippity Do Dah)
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To: dfwgator

So... the answer to “Did the Universe have a beginning?” ... is 41 ?


17 posted on 04/26/2012 3:53:38 PM PDT by UCANSEE2 (Lame and ill-informed post)
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To: caveat emptor

Can we have that in ‘graph’ form?


18 posted on 04/26/2012 3:55:28 PM PDT by UCANSEE2 (Lame and ill-informed post)
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To: PrairieLady2
Even 'ancient' civilizations knew about it.


19 posted on 04/26/2012 3:58:50 PM PDT by UCANSEE2 (Lame and ill-informed post)
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To: BereanBrain

Only a small fraction of the stuff in the universe is visible.


20 posted on 04/26/2012 4:06:42 PM PDT by DManA
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