**Hitoshi Kitada** (*hitoshi@kitada.com*)

*Sun, 11 Apr 1999 10:54:26 +0900*

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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"?

Best,

Hitoshi

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