You can look up SO(4) in Wikipedia
The group measure is 2^1/2. This is the length of the unit radius of the
Clifford torus (formed by the tangent space). To get the standard norm
(=1) you have to divide by 2^1/2!
Or more simple. The radius for the standard circle is 1, but the
Clifford torus has two radii, thus its length is (1+1)^1/2
J.W.
On 17.09.2020 21:51, Robin wrote:
In reply to Jürg Wyttenbach's message of Thu, 17 Sep 2020 11:54:01 +0200:
Hi Jürg,
Your theory is already difficult enough for us uncomplicated folk to
understand. It would perhaps help if you didn't use
shorthand. IOW please be very clear and precise, and don't leave any steps out.
I realize that it will take longer for
you to write, but it's better than losing your audience altogether.
Quite correct: 1/2 is missing.
The SO(4) radius is 1/2 of the measured one but gets enlarged by the metric.
So for the proton R_4D = 1/2 R_p *(2^1/2 ). This is the real radius from
the center of action/rotation!
If I read this correctly, the 4th dimensional radius is 0.707 x the 3
dimensional radius. I find this difficult to
believe, unless you are talking about different radii. Are you?
What does "enlarged by the metric" mean?
--
Jürg Wyttenbach
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