On Mon, Aug 24, 2009 at 5:21 PM, Shachar Shemesh<[email protected]> wrote:

> I read the link you gave, but have not found why it does not prove it.

You will, I hope, agree with me that the fact that you have not found
it there does not actually mean that R^-2 => N=3... ;-)

All I said was that if you assume N=3 then you get R^-2, but this does
not mean that the reverse is also true.

> The closest I got (which was not stated) is that if N>3 for our universe, then
> the laws of physics are much more complex than what we know.

Complexity would not be a truly compelling argument. Correspondence to
experimental results, on the other hand, is convincing.

Ehrenfest showed that for N>3 planetary systems and galaxies could not
be stable. Later the same was shown for electron orbits in nuclei. In
an N>3 world none of these systems could exist (for experimentally
observed times). Electrodynamics works (i.e., is consistent with
experiment on the basic level, e.g., no pulse distortions in vacuum)
only for N=3. All that is stated, admittedly very laconically. The
physics/math is highly non-trivial, so you can't expect to get it from
a Wikipedia article.

Once you have satisfied yourself that N=3, you can derive R^-2 easily
from flux considerations.

-- 
Oleg Goldshmidt | [email protected]

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