Explaining the Heisenberg Uncertain Principle via the Hyperbolic Function: Context Explaining Tomonaga (7) Main Assumption

One of the main debates and challenges is explaining the existing and the interactive, inverse nature Heisenberg Uncertain Principle.

Is its caucation the math or the nature of reality?

At the core of QED, Tomonaga made at (7) the basic function of e^x as the basis for the physics. However, this occurs without context.

It fact, the proper context is one step removed. The hyperbolic function by its nature, the core causation answer both equations. First, hyperbolic is ((e^x+(1/e^x))/2) and ((e^x-(1/e^x))/2) which is is a 2-state probability. The sum is that Equation (7) of Tomanaga, so that must become statistical, even of the individual physics (+) for deflection or decoherence and (-) for passing-thru or conherence. The sum of two state probabilities as (7). So, two determinstic events, by the math combining two (1/2) probability events generates the computational statistical basis for quantum theory.