This marker must, by definition, travel at Unit Velocity. Clearly, without an external absolute standard of measure, there is no way to keep time or measure distance with respect to the marker because increasing speed is equivalent to shortening the unit length. While making a longer unit length would be the same as slowing unit velocity.
Therefore, space and time must be made functions of one another in this manner:
Now, since the countable points are laid out in a probabilistic manner, three concepts will figure into any 'unit' system of measurement: (F) length (F) time (F) probability = 1 unit of measure (to be used in the derivation of Planck's constant).Planck's Constant
For convenience in what follows, we will consider a double unit length as one unit so that we will have an expectation of 1 countable point per this new unit length.
In section 7 I showed that three dimensions would be required (one for the quantitive aspect of reality and two dimensions for its quality). Therefore, the marker, travelling outward at unit velocity, will encompass 4 pi R^2 countable points per unit time and will have encompassed 4/3 pi R^3 countable points at any given time (where R is the radius of the present manifold in unit lengths).
