Planck's Constant

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lanck's constant is the cornerstone of existence.

It represents the concept of "slop" as applied to the universe as a logical system. For those unfamiliar with the term, mechanical slop is the amount of freeplay in a mechanical device which is engineered into its design to facilitate workability.

Example ... If you have a cylindrical sleeve (four inches inside diameter) and a rod (four inch outside diameter) which is to fit into the sleeve ... you have a mechanically impossible situation. You will not be able to insert the rod unless there is some slop gap ... too much and the rod wobbles too little and it doesn't go in. Slop delimits the "action" of the mechanism.
If the universe were entirely deterministic (no slop) ... it couldn't go. If it is totally indeterminate (infinite slop), there is no logic to it. [see Determinism and Causality]

So we have this problem

In response to the appearance of a new particle, a central unit might disappear and reappear elsewhere (how far?), expand or contract its field (to what extent?), move off in some direction (at what speed?), rotate on an axis (what axis?). Clearly if anything were possible (without constraints) the universe would be totally indeterminate thereby invalidating logic.

Planck's constant is the mechanism by which the universe maintains its logical consistency with respect to these parameters yet allows "action" to occur.

To let determinism coexist with its antithesis (indeterminism), any variable may change at the expense of some other such that Planck's constant remains stable at the value 1/R. This value now changes so slowly that the term constant is warranted.

The value 1/R is gotten by deriving it from known mathematical relationships (e.g. a=e^2/hc ; Gm^2/hc=~10^-39 ; Planck and/or Stoney 'natural' units, etc.) and by setting the gravitational constant at ~10^-39 in the 'unit' system of measure.
We have then:
unit velocity (c) = 1 (by definition)
unit length = ~1 meter (average distance between two unit particles if distributed uniformly)
unit mass = ~10^13 x the present baryon mass (having defined initial mass as 1 unit)
unit time = the time required to traverse the unit length = presently ~10^-8 seconds

The internal workings of Planck's constant

The mechanism by which 'h' operates should be familiar to the reader.
Briefly, h is given in dimensions of mass times length squared divided by time.

If the momentum of a particle (mass times length divided by time) is X and its position (length) is Y, then X and Y are related as (X times Y = h).

The dimensions of h are derived from the initial unit length multiplied by the initial unit velocity multiplied by the initial unit mass and the requirement that this value be initially equal to 1.

Changing the distance between two points as measured by their positional fields is indiscernible from the condition of those points if their respective fields had expanded or contracted. The density (mass) of a field is therefore equivalent to distance measurement which was shown to be equivalent to velocity measurement. (The probablility function in Unit Measure)

Indeterminacy in each parameter is combined in h.

[Field density = probability = unit mass]
multiplied by
[velocity of marker = unit length per unit time = c]
multiplied by
[distance between points in isotropic field = unit length]
= 1 um ul2 / ut = Planck's Constant.

Functionally this means that if a point is initially at greater than 1 unit length from the previous point, its positional field may compensate by contracting (mass increase) or the speed of the marker (i.e. light speed) may increase or any combination which preserves the h value of 1 .

At later times and in other situations involving h,
parameters are 'juggled' < (logical slop)
such that an h value of 1/R is preserved.
initially 1/R = 1 ... now ~ 1/1026


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