WDEshleman@aol.com
Thu, 2 Sep 1999 02:12:32 EDT
[WDE] 
>  > Here are some of my thoughts about change pulled from my abstract.
>  > 
>  > This proposal begins with the argument that the linear operators (x), 
that
>  > dictate the evolution of the state of an object, are themselves measured 
in
>  > present states (NOW), not past states (PAST). That is, if NOW = PAST + x 
*
>  > PAST, then NOW/PAST = 1 + x, a trivial result allowing all values of x. 
On
>  > the other hand, if it realized that it is more logical and consistent 
that,
>  > NOW = PAST + x * NOW, then NOW/PAST = 1/(1 - x), a most interesting
>  > result that prevents x from achieving unity.
[SPK]  
>   Very neat! So is unity achieved asymptotically in the infinite limit,
>  Lim i -> \inf. : x = 0 ? I am having a hard time with the math. :-(
>  (dyslexia sucks!)
[WDE]
Associating x with PAST states,
if NOW = PAST + x * PAST  => NOW = PAST * (1 + x)
=>  NOW/PAST = (1 + x), this is classical (common sense) change.
Or associating x with NOW states,
if NOW = PAST + x * NOW  => NOW - x * NOW = PAST 
=>  NOW * (1 - x) = PAST  => NOW/PAST = 1/(1 - x),
this is relativistic (singularity) change.  That is,
NOW = PAST/(1 - x).  Not, NOW = PAST * (1 + x)
[SPK]   
>  Can we think of worlds in terms of different NOW/PAST pairs?  
[WDE]
I don't think of worlds as NOW/PAST pairs, but you may have 
something there.  I see the PAST as always gone and that
associating a "change operator" with the PAST is relativistically
wrong (or relativity suggests that it's wrong).  Matti, if you are 
reading this your help would be appreciated.  I may be 
misguided, but I look at this as a relativistic first principle,
independent of geometry.
Sincerely,
Bill
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