sci.physics

>From Osher Doctorow

On a scale like [0, infinity) or (0, infinity) or [0, 1] for example,
physical variables (and of course "constants") should arguably not
depend on being near 0 as opposed to respectively having very large
(1st and second cases) or near 1 (3rd case) magnitudes, and physical
laws or inequalities should either be invariant or make sense under
(approximate or truncated) reversal of such scales. There is no
formulation of this or proof of this for the HUP.

The blow up of physical variables (and of course "constants") near 0
has been demonstrated many times including in my posts. For example,
conditional probability P(B|A) = P(AB)/P(A) fails at P(A) = 0 and
blows up very near P(A) = 0. Newton's F = Gm1m2/r^2 blows up at and
very near r = 0. This is one reason why reversibility of scales as
in the previous paragraph is so important. Notice that if Newton's
law is formulated in terms of a "proximity" p instead of distance r,
even p = 1/r, then blow-up at 0 is avoided, and "proximity" makes
physical sense.

I'll try to continue this shortly.

Osher Doctorow