Another question:

While looking for possible application of time in mathematics, popped into mathematics of time scales: See

Time Scale calculus publications

Time scales and Lyapunov stability

The notion of complex unit circle and half plane being subcases of Hilger circle with different time scale graininess sound very much related to deeper (possibly) structure of real numbers.

I would like to ask a question is this approach somehow related to iterations of functions, higher operations, or can be related? As I understand( and I understand very little so far) it kind of gives an additional degree of freedom to look at discrete and continuos functions together. If so, it may also be used to add an extra degree of freedom to number axis itself.

Thank You in advance,

Ivars

P.S. A very interesting PPT review:

Time scales PPT review

While looking for possible application of time in mathematics, popped into mathematics of time scales: See

Time Scale calculus publications

Time scales and Lyapunov stability

The notion of complex unit circle and half plane being subcases of Hilger circle with different time scale graininess sound very much related to deeper (possibly) structure of real numbers.

I would like to ask a question is this approach somehow related to iterations of functions, higher operations, or can be related? As I understand( and I understand very little so far) it kind of gives an additional degree of freedom to look at discrete and continuos functions together. If so, it may also be used to add an extra degree of freedom to number axis itself.

Thank You in advance,

Ivars

P.S. A very interesting PPT review:

Time scales PPT review