Pete,
A = sqrt(f/c) : where A is amplitude defined as a lateral cross-section such that A/2 would be deflection from the baseline of linear propagation, f is the frequency, c is light velocity in vacuo, and the square root obtained by rate of acceleration being per sec per sec.
This can come from hypothesizing a parameter of size of rest energy moment the diameter of which is predicated as P = L/c^2 : where P is a parametric nominal diameter of a quasi-particle, L is the wavelength, and c is is light velocity.
In keeping with the hypothesis of my previous post of partitioning the Quantum (h/2) such that the rest energy quantity is prescribed as E = (h/2)L, the parametric diameter subjected to a foreshortening a midpoint of wavelength by a factor of light velocity would prescribe a disc diameter by H = P/c and would only pertain to the wavelength through the constant proportion of P for any wavelength. This results in a constant relationship of E/P as an empirical numerical value.
Assuming that the affinity of a coherent energy discrete quantity is dependant of any specific quantity prescribing a proportionate density constant to any quantity of I = Ec^2 : where E is the rest energy quantity, c is light velocity, and I is the inertial density of any discrete massenergy quantity.
This produces a constant predictable finite volume of energy affinity by vol. = I(E/P) and a continual transformation of configuration of that volume with wavelength by 4/3 pi (A/2)^2 * (L/2) which with produce a prolate spheroid in wavelength shorter than 1 centimeter, a spherical volume at 1 centimeter, and an oblate spheroid in wavelengths greater than 1 centimeter. All waveforms will have a finite volume of 5.2359^-1 cm^3 which provides mathematical rational for the Quantum exhibiting the characteristic of being a preferred, indivisible, massenergy entity.
Given this rationale, suggests that superposition of partitioned energy quantities of the Planck Constant is not only possible but real due to the cohesion exhibited as the affinity of each. The sinusoidal curve is indicative of the second half of a wavelength being a collapse of the waveform in recouping the portion acting as a coupled charge. In the dynamic waveform volume, superposition is a single physical state and gravitational density of energy simply isn't observed by electromagnetic detection apparatus. Light velocity as measured observationally would be exceeded somewhat at midpoint of the wave but still be a constant value (compensatory rationales also are plausible). And specific densities are also obtainable hypothetically accounting for primary force effects.
The constant volume : Quantum rationale would allow a direct correlation thermodynamically as degrees Kelvin typically applied to lighting systems, with the energy quantity of Planck's Constant.
There is NO BOUNDARY between Quantum and Classical mechanics! JRC
