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From: Archimedes Plutonium on 23 Jul 2010 15:46


Archimedes Plutonium wrote:

>
> Here I am asking you a question Lwalk. Where is the factorial 1/2 the
> value of the exponent?
> Is it 249! equal to about 10^498 I think that 10^500 is closer to
> 252!
>
> So that my choice of the Planck Unit of largest number as where the
> StrongNuclear Force
> no longer exists, has a side twist fascination. Why should the number
> where the StrongNuclear Force ceases to exist, why should the
> factorial be exactly 1/2 the value of
> the exponent. This suggests that a mathematical law or rule underlines
> the StrongNuclear
> Force. And that we should thence inspect the Coulomb force as to
> whether a rule of relationship of the factorial with the exponent
> exists for Coulomb force.
>

Let me clarify my question. I curiously noted that it seems as though
the picking of
10^500 as the largest significant number in physics as the Coulomb
Interactions where
there is no longer a Nuclear Strong Force of physics existing. And it
is elements 98, 99
and 100 where the nuclear-strong-force is nonexistent.

So that is a significant benchmark and since physics ends at that
number, so does mathematics which is a subset of physics.

So the question becomes, that the value of 253 in 253! is about 1/2
the value of
the exponent 500 in 10^500. So curiously, and I am super curious about
any science.
I was wondering if there is some physical meaning to why 1/2. Perhaps
a mathematical
rule exists.

Now I note also that the factorial is not going to give precisely 1/2,
but we can find
the "Smallest difference" or find what can be described as the closest
approach to
equalling 1/2. So in the vicinity of 10^500 we find that the closest
approach is 254!
= 10^502 and 253! = 10^500 where any others has a larger variance.

Now we ask, can I delete some multipliers or append some multipliers
to the factorial
to have them equal exactly to the relationship of 1/2 factorial value
equals the exponent
value?

Can I say, multiply the factorial 253! by another 2 or 2x3, to make
the exponent come out
to be exactly or closer to 10^500.

So I am curious over two items here. Why is the number 253! and 10^500
the point in
numbers where this relationship of 1/2 is there. And then I am curious
as to whether physics has some force law or force rule of factorial
versus exponent.


Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
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