Hello setare,
I know you are the first deals with SQUARING THE CIRCLE...
I too faced this discussion when years ago I read GEORGE WOLLENSTAIN and I understood some things but not from an astronomical point of view (I am very ignorant on the subject) but from a geometric one: the square represents the EARTH (the price) and the circle represents the sky (TIME).
How to exploit this? calculate the distance in pips (side of the square) then calculate the area of the circle using the side of the square = radius: radius x radius x 3.14...the result under square root and get the time.
pay attention: to make these calculations you must have the graph to scale and therefore know the price/time conversion factor otherwise you will not be able to see the hidden geometry.