Is not the frequency of light infinitely variable?

About the Planck length, h, and h-bar, (h-slash): h/2pi, I got to
thinking about some things that are 2pi. The area of a circle with
radius sqrt(2) is 2pi. The circumference of a circle with radius one
is 2pi. The isosceles triangles with a unit hypotenuse has the equal
sides with length of 2^ -1/2.

So then I get to wondering in what conditions to use h-bar instead of
h.

I'd really be happy if some mathematical formula that I derived could
be used to predict something in the physical world, like geometric
algebras predicted the existence of some subatomic particles and their
existence and behavior, and the existence of the flag dipole spinors
purely mathematically enabling the prediction of otherwise
unprecedented event observations.

My belief is that the integral of the function f(x)=1 over the
naturals evaluates to equal two. That's about the continuous reals as
points and so on and so forth. I want to figure out a physical analog
that is best explained if and only if that is true. Please review the
thread "Points on a Line, Infinity", with various geometric mutations.

There are a variety of models of infinitesimals, with various purposes
and characteristics. They might be not interchangeable but they can
at least be consistent. Classical analysis is verified in
non-standard analysis.

A cursory review has "semi-infinite" synonymous with "infinite", yet
specifically that other term is used, in its broad context of
analysis. The other day Ullrich wrote to sci.math to admit that there
are various methods to size infinite sets. Here's to his steep
learning curve.

Good luck, regards,

Ross F.