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- Newsgroups: sci.physics
- Path: sparky!uunet!spool.mu.edu!yale.edu!jvnc.net!newsserver.technet.sg!nuscc!matmcinn
- From: matmcinn@nuscc.nus.sg (MAWENZI lieutenant of Kibo)
- Subject: FAQ-fodder
- Message-ID: <1993Jan5.043302.8774@nuscc.nus.sg>
- Organization: National University of Singapore
- X-Newsreader: Tin 1.1 PL4
- References: <1993Jan4.184114.151@vms.huji.ac.il>
- Date: Tue, 5 Jan 1993 04:33:02 GMT
- Lines: 27
-
- tabitha@vms.huji.ac.il writes:
- : Another question from a non-physicist.
- :
- : I frequently read that cosmologists debate whether the
- : universe has infinite size. If the Big Bang started
- : at a definite time in the past, and has since expanded
- : at a finite speed, how can it be infinite? What am
- : I missing?
- :
- : -dennis turner
- : tabitha@vms.huji.ac.il
- Think of it this way. Consider pythagoras' theorem for 3D space: it
- involves an expression of the form x^2+y^2+z^2. This is for an infinite
- space. Now replace this expression in pythagoras' theorem by the
- following: t^2 [x^2+y^2+z^2] where t is time, and t>0. Then you have a
- universe which is expanding, but which is still *infinitely large* for
- all times t. The distance between any two given points tends to zero as t
- tends to zero, but for any value of t one can always find two points
- separated by an arbitrarily large distance. The "big bang" corresponds to
- t=0, but notice that t=0 is not part of this model because we have t>0
- with strict inequality.
- To summarise: this example shows that the mere fact that the Universe is
- of finite age does not allow us to conclude either that it is of finite
- spatial extent or that it had a beginning.
-
- ps I am not proposing that the above be included in the FAQ, only that
- something of the sort be included: this really is a FAQ.
-