Very often the Planck Constant is combined with another fundamental constant of nature π
π (sometimes written pi) is a mathematical constant whose value is the ratio of any circle’s circumference to its diameter this is the same value as the ratio of a circle's area to the square of its radius.
The quantity h/2π appears so often in quantum mechanics that a new symbol has been invented to describe it, called HBAR.
Few things are more certain and fixed or static than π the fact that the circumference of a circle is not exactly three times its diameter but 3.14… time it diameter.
But when we consider static things like the fixed ratio of a circle to its diameter we find that the only possible way of analyzing the facts (so as to determine the fixed value of π) is to express the relation in the form of an infinite series of irrational numbers.
π = 3.141592653589793238462643383
There are an infinite number of irrational numbers between every two numbers forming an infinity of infinities. It may seem impossible to visualize this as part of an objective reality.
But if the Planck Constant is seen as a constant of action within the fabric of spacetime that has the spherical geometry of π then it would be natural for the irrational numbers to fall out of the human mathematical system.
This theoretical interpretation solves the whole mystery of irrational numbers, but for our “Triumphant analysis” to work the Planck Constant h and π would have to be part of a dynamic universal process that forms the time continuum itself!
In this theory each photon is a new oscillation in a process that we see and feel as the flow of time itself. The quantum wave particle function explained by Schrödinger’s wave equation represents the forward passage of time ∆E ∆t ≥ h/2π or Arrow of Time itself photon by photon or moment by moment.
Therefore Heisenberg’s Uncertainty Principle ∆×∆p×≥h/4π that is formed by the wave function is the same uncertainty we have with any future event
This makes sense mathematically, we have uncertainty between energy ∆E and time ∆t in two dimensions 2π that we see and feel as a future and past. This is formed by the two dimensional surface of the three dimensional spherical quantum wave particle function.
The continuous collapsing and reforming of the quantum wave particle function forms the uncertainty of everyday life and the probability of Heisenberg’s Uncertainty Principle of quantum mechanics!
This process of spherical symmetry forming and breaking we see as continuous creation or change that we can interact with turning the possible into the actual!
Creating an infinity of possibilities within the law of physics!