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echo: philos
to: RICHARD MEIC
from: WILLIAM ELLIOT
date: 1998-01-22 02:11:00
subject: Time and Again

 >>> Richard Meic on Time and Again 
 RM> Now, does space END some place (ie. if one travels in one direction
 RM> long enough, is there a point at which one can no longer travel in that
 RM> direction)?  Theoretically, space is curved so that when one does
 RM> travel in one direction one will eventually end up where one started. 
 RM> Using this logic one can say that space does not "end" anywhere nor
 RM> does space "begin" anywhere.  So, considering "ITEM #1" does time end
 RM> or begin?  Or is time also (shall we say) "curved"?  If so, if we live
 RM> long enough would we not end up at the point of one's own birth?
Mathematically spaces are of numerous varieties.  The 3 or 4 dimensional 
continuous or real number continuum that we use to model 'space' is just one 
variant.  What you're alluding to is Remanian geometry of which Euclidian 
geometry is a special flat case.  There are two ways that a Remanian space 
can be without edges.  It can be infinite like an infinite plane or it can be 
closed like a sphere.  Assuming time to be a Remanian dimension, there are 
two ways that time can be endless.  One is that it always was, is and shall 
be.  The other is that it repeats itself. -)
Practically we don't have enuf time to notice if time is infinite and, unless 
you're in the habit of repeating yourself, any likely curvature of time will 
affect little our temporal interval.  Now if you want to twist things around 
a bit, a black hole will do nicely.  I understand that the direction of time 
within the event horizon is -toward- the center.  That's why nothing can get 
out no matter how much energy it has.  But ne'er fear for your allotted 
interval will remained as unaffected by this as it would by the local 
supernova scheduled in few billion years hence.  So time begins with your 
birth and ends with your death.
... from the marsh, the freshest of stagnate water.
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