Document from the year 2017 in the subject Physics - Theoretical Physics, , language: English, abstract: Having established in preceding Volumes 1 and 2 a model of the 'Unitary Universal Field' and the conceivable basis of its correlation with the observations and analytical structure at the foundation of orthodox QED theory, Part FOUR proceeds to deal more specifically with an analysis of the Hydrogen [H1] spectrum according to the principles governing the dynamic frame of 'a-s/c' synthesis within which such an effect is constrained to arise; and relates this analysis in cohesive mechanics through a revised interpretation of the 'Rydberg formula' in which the 'Rydberg constant [Ra]', thus [Re] and its variants in the following, is derived from first principles (and the measurable speed of light [c]), to the conventional atomic orbital model of QED theory. This approach is itself based on the reasoned correlation between a geometric or trigonometric model of rotational 'moments of inertia [Im]' intrinsic to such a frame of empirically-induced 'a-s/c' synthesis—from which H1 spectral frequencies may be inferred—, and a hypothesis upon the basis of the ostensible configuration of the dynamic frame of synthesis which is the substrate of the QED model in that of the synthesis or integration of dominant components in distribution of cohesive force and inertia implicit in such frames: viz. the ' fundamental phase vectors' and their marginal residuals in recurrence, principally [k] and [m] in the a/c aspect and p, p' and p'' in the 'horizontally asymmetrical' 'a-s/c' aspect of the synthesis. Section [B] in the following also treats more thoroughly the substrate horizontally-symmetrical a/c aspect of the frame of 'a-s/c' synthesis according to principles of [k] vector recurrence, in order to establish the basis of the numerical character of theoretical electron orbitals posed in the QED model according to a specific application of 'Laplace's spherical harmonic functions' to a particular geometric model of the atom (therefore representing a specific geometrical or trigonometric interpretation of solutions to the Laplace equation construed in a correspondingly specific geometrical framework). It is also argued that Bohr's equations incorporating the number 'n' from Rydberg's formula as the 'principal quantum number' in an atomic orbital model represent only the mathematical formulation of a particular interpretation of that formula according to such a model; which must remain deficient while ever it cannot explain the basis of the 'fine structure constant'.