From Osher Doctorow
I meant to type 87.4 rather than 87 for the previous
Section, but I'll just continue with 87.5 here.
There's a considerable literature on two time scales in
arXiv and Front For the Mathematics ArXiv, and readers
can look that up under those keywords. The Italian
school(s) especially have done considerably on those. Also
some of my earlier threads discussed them.
It's interesting that multiple time scale physics papers are
usually limited to two time scales, since my previous post
indicates that this is all that we need from the viewpoint
of forces with constants "cancelling out" negative times.
It also explains why in Newton's F = Gm1m2/r^2 only
constant G contains time - because G is a "slow time"
constant! Of course, a constant, say k, has to multiply
this F to get time dimension T^a in G to power T in the
final expression for force in our equation(s).
We also have an additional motivation for the literature
that studies gravitation as a "weak force" ("weak
gravitation" in arXiv) and also an explanation of why
gravitation seems to act so differently from forces like
electromagnetic that we can more easily manipulate.
It also seems to be the case that we should keep our
eyes open for two time scales or at least a slow time
scale in the case of Dark Energy and Dark Matter. This
seems to have largely ignored from a Fundamental
viewpoint in the literature.
Osher Doctorow
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