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Lottery drawings and sensitivity to initial conditions

by Michael Ash <mike@[EMAIL PROTECTED] > Feb 15, 2008 at 09:39 PM

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.

So I shall do that here. Is it actually reasonable to expect the presence 
of a time traveler not to alter the outcome of a lottery drawing? Lottery 
drawings are, or at leash should be, highly chaotic systems, in the sense 
of being highly sensitive to initial conditions. The balls bounce all over

the place, and even the tiniest alteration to a single ball's trajectory 
will quickly balloon into a totally different result in the drawing.

But just how tiny is the tiniest alteration? A time traveller arriving 
hundreds of miles away has few ways to disturb the drawing directly. His 
presence will create sound and electromagnetic waves which wouldn't 
otherwise have been there. These get quickly lost in the noise, but that 
phrase merely means that it becomes impossible to distinguish them from 
the noise, or that they become part of it. The noise itself will be 
changed by them, however slightly. Will this result in a different 
outcome? Do we even know?

Perhaps worse, the presence of the time traveler alters the way people 
behave. This is going to create small ripples throughout society, and 
these ripples will travel as fast as people communicate with each other. 
This is much more likely to change the environment of the drawing in a way

which, while still extremely subtle, would be a lot stronger than the 
direct changes discussed above. Will this one change the outcome?

Any thoughts on the above?

It seems to me that a time traveler is going to have a better time in 
sports betting or the stock market. Both of these are chaotic to some 
extent but at least in the short term are based on more macroscopic 
effects. Small changes in the players' brains won't change the fact that 
team A's defense is helpless against team B's offense, or that company X 
is going to announce earnings 50% higher than predicted the next day.

-- 
Michael Ash
Rogue Amoeba Software




 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 May 15 0:33:14 CDT 2008.