[time 213] Re: [time 210] Re: [time 209] Observation & Obler's Paradox

Hitoshi Kitada (hitoshi@kitada.com)
Sun, 11 Apr 1999 10:54:26 +0900

Dear Stephen,

----- Original Message -----
From: Stephen P. King <stephenk1@home.com>
Cc: <time@kitada.com>
Sent: Sunday, April 11, 1999 9:50 AM
Subject: [time 210] Re: [time 209] Observation & Obler's Paradox

> Dear Hitoshi,
> I understand now. :) Thanks... A question: Is it sufficient to consider
> all interactions to be representable in terms of pairs?

This is the main point. The pair works for two body case. But if you think
three bosy case with L={1,2,3}, there are three forces between 1 and 2, 2 and
3, and 3 and 1. For 4 body case L={1,2,3,4}, there are 6 forces between

1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4.

As the number N of the particles inside a system L becomes larger, the more
complicated behavior the system does. This is the main reason that the
analysis of many-body system is difficult. The systems with different number
of particles must be treated as the one that has its own structure depending
on the number N inside it. (Of course each of the fundamental forces that
constitute the system is given by a pair potential. If your question means
this, you are correct.)

 What if
> associativity fails?

What do you mean by "associativity fails"?


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