demoivre

Time for a quote:

When philosophical ideas asociated with science are dragged into another field, they are usually completely distorted.

-Richard Feynman. He, he.

On that thought, let's use rudimentary quantum mechanics to determine the probablity of any given number of SG's leaving any point and ending up in my living room. First we'll start with Dirac notation for a single SG to leave point a, pass point b and end up in my living room, LR:

(LR|a)via b=(LR|b)(b|a) this, of course, represents the probability amplitude of such an event, where as:

|(LR|b)(b|a)|^2 is the actually probability.

Of course, we want mulitple SG's to leave a source and arrive at a single location, LR. So if we let the source be represented by n, to represent any number of individual SG sources, then we have sources a,b,c,d...n.

First we normalize the amplitue so that the probablity of each SG acting alone ending up anywhere in my living room would be:

|( )|^2 dLR

Now we assume that each SG is indistinguisable--in the sense that they are all SG's--then we find that the probability of n SG's reaching n sections of my living room will be:

|a1b2c3...|^2dLR1dLR2dLR3...

Assuming that we don't care where on the living room floor, dLR, each SG ends up, we can integrate each dLR over deltaLR of the living room floor and find that, voila!--the probability of having n different SG's appear in my living room is:

Pn (different)=|a|^2|b|^2|c|^2...(deltaLR)^n

Excellent. Now isn't science fun?




Please note, that the journal program won't let me use all of the symbols needed for the above equations. Sorry for any confusion.