Interesting value for W, h involving phi,Omega?

[Ivars]

Interestingly, this can be transformed into form corresponding to linear response function- impedance of a damped harmonic oscillator;

I dont understand, how can a constant correspond to a function?

Neither do I - yet. One idea is that this constant is a result of some process we have no idea about- so it is in fact variable or function of some other mathematical parameter- e.g y may be continuos dimensionality of mathematical hyperoperation (from 0-zeration to [infinity] , t - dimensionality or hypervolume of hyperdimensional mathematical structure achieved via infinite tetration (from 1 to infinity ) or vice versa?.

That is just a very wild guess at too early stage. I am looking for such interdependence, may be in wrong place with wrong approach...

Ivars