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Science Fiction > Science > Re: Lottery dra...
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Re: Lottery drawings and sensitivity to initial conditions

by Mike Williams <nospam@[EMAIL PROTECTED] > Feb 16, 2008 at 06:06 AM

Wasn't it Michael Ash who wrote:
>In another thread which shall remain nameless, it a scenario was posited
>in which a time traveller arrives and hands over the winning lottery
>numbers to a stranger, said numbers having been dug up from historical
>archives in the far future. A great deal of discussion on the other
>particulars of the scenario took place and I hope we can avoid repeating
>that, but interestingly this aspect was never questioned.

I've heard it said that if you consider a frictionless snooker table 
with perfectly spherical snooker balls and track 100 collisions, then 
the outcome is so sensitive to the initial conditions that the 
gravitational effect of a single electron at the distance of Alpha 
Centauri can completely alter the result.

Each sphere-on-sphere collision that the cue ball experiences doubles 
the difference in the angle, so after 100 collisions, the change in 
angle is multiplied by 1.2*10^30 which is enough for extremely tiny 
changes in the initial conditions to become significant.

Things might possibly be different in a lottery machine which 
experiences friction and is subject to quantum effects, but I suspect 
that the gravitational effect of the time traveller's body would be 
sufficient to scramble lottery results.

Quantum effects might act in two different directions. If a difference 
in position is less than the Planck Length, then I guess it would cause 
zero effect and the lottery results would be unaffected. The uncertainly 
principle causes tiny differences in the motions of the balls, which 
when amplified might be sufficient to scramble the lottery results. This 
might mean that a lottery machine would produce different results even 
if the initial conditions were *exactly* the same.

-- 
Mike Williams
Gentleman of Leisure
 




 19 Posts in Topic:
Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-15 21:39:25 
Re: Lottery drawings and sensitivity to initial conditions
Arthur T. <arthur@[EMA  2008-02-15 23:38:52 
Re: Lottery drawings and sensitivity to initial conditions
Russell Wallace <russe  2008-02-16 04:46:14 
Re: Lottery drawings and sensitivity to initial conditions
Robert Martinu <invali  2008-02-16 05:52:20 
Re: Lottery drawings and sensitivity to initial conditions
Tim Little <tim@[EMAIL  2008-02-16 06:18:23 
Re: Lottery drawings and sensitivity to initial conditions
Mike Williams <nospam@  2008-02-16 06:06:40 
Re: Lottery drawings and sensitivity to initial conditions
Doc O'Leary <droleary.  2008-02-16 10:51:00 
Re: Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-16 20:20:47 
Re: Lottery drawings and sensitivity to initial conditions
Doc O'Leary <droleary.  2008-02-17 11:46:00 
Re: Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-17 13:34:54 
Re: Lottery drawings and sensitivity to initial conditions
Doc O'Leary <droleary.  2008-02-18 10:52:53 
Re: Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-18 13:21:44 
Re: Lottery drawings and sensitivity to initial conditions
Doc O'Leary <droleary.  2008-02-19 11:02:41 
Re: Lottery drawings and sensitivity to initial conditions
Eivind Kjorstad <eivin  2008-02-18 09:24:35 
Re: Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-18 09:06:54 
Re: Lottery drawings and sensitivity to initial conditions
Dave Farrance <DaveFar  2008-02-17 20:55:51 
Re: Lottery drawings and sensitivity to initial conditions
Michael Ash <mike@[EMA  2008-02-17 16:01:44 
Re: Lottery drawings and sensitivity to initial conditions
Eivind Kjorstad <eivin  2008-02-18 09:19:05 
Re: Lottery drawings and sensitivity to initial conditions
Mike Williams <nospam@  2008-02-18 13:41:38 

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tan13V112 Thu Jul 24 16:10:11 CDT 2008.