986.830 Unrealizability of Primitive Sphere

986.831 As is shown elsewhere (Sec. 1022.11), synergetics finds that the abstract Greek “sphere” does not exist; nor does the quasispherethe sense-reported “spheric” experiencings of humansexist at the primitive stage in company with the initial cosmic hierarchy of timeless-sizeless symmetric polyhedra as defined by the six positive and six negative cosmic degrees of freedom and their potential force vectors for adequately coping with all the conditions essential to maintain the individual integrity of min-max primitive, structural, presubdivision systems of Universe.

986.832 The sphere is only dynamically developed either by profiles of spin or by multiplication of uniformly radiused exterior vertexes of ever-higher frequency of modular subdivisioning of the primitive system’s initial symmetry of exterior topology. Such exclusively time-size events of sufficiently high frequency of modular subdivisioning, or high frequency of revolution, can transform any one of the primitive (eternal, sizeless, timeless) hierarchy of successive = 272, 1, 272, 3, 4, 5, 6-tetravolumed concentrically symmetric polyhedra into quasispherical appearances. In respect to each such ever-higher frequency of subdividing or revolving in time, each one of the primitive hierarchy polyhedra’s behavioral appearance becomes more spherical.

986.833 The volume of a static quasisphere of unit vector length (radius =1) is 4.188. Each quasisphere is subexistent because it is not as yet spun and there is as yet no time in which to spin it. Seeking to determine anticipatorily the volumetric value of the as-yet-only-potential sphere’s as-yet-to-be-spun domain (as recounted in Secs. 986.206-214), I converted my synergetics constant 1.0198255 to its ninth power, as already recounted and as intuitively motivated to accommodate the energetic factors involved, which gave me the number 1.192 (see Sec. 982.55), and with this ninth-powered constant multiplied the incipient sphere’s already-third-powered volume of 4.188, which produced the twelfth-powered value 4.99206, which seems to tell us that synergetics’ experimentally evidenceable only-by-high-frequencyspinning polyhedral sphere has an unattainable but ever-more-closely- approached limit tetra volume-5.000 A with however a physically imperceptible .007904 volumetric shortfall of tetra volume-5, the limit 4.99206 being the maximum attainable twelfth-powered dynamismbeing a sphericity far more perfect than that of any of the planets or fruits or any other of nature’s myriads of quasispheres, which shortfallers are the rule and not the exceptions. The primitively nonconceptual, only-incipient sphere’s only-potentially-to-be-demonstrated domain, like the square root of minus one, is therefore a useful, approximate-magnitude, estimating tool, but it is not structurally demonstrable. The difference in magnitude is close to that of the T and E Quanta Modules.

986.834 Since structure means an interself-stabilized complex-of-events patterning (Sec. 600.01), the “spheric” phenomenon is conceptuallyseasonally experienceable only as a time-size high-frequency recurrence of events, an only-by-dynamic sweepout domain, whose complex of involved factors is describable only at the twelfth-power stage. Being nonstructural and involving a greater volumetric sweepout domain than that of their unrevolved structural polyhedral domains, all quasispheres are compressible.

986.835 Independently occurring single bubbles are dynamic and only superficially spherical. In closest packing all interior bubbles of the bubble aggregate become individual, 14-faceted, tension-membrane polyhedra, which are structured only by the interaction with their liquid monomer, closed-system membranes of all the trying-to-escape, kinetically accelerated, interior gas moleculeswhich interaction can also be described as an omniembracing restraint of the trying-to-escape gaseous molecules by the sumtotal of interatomic, critical-proximity-interattracted structural cohesion of the tensile strength of the bubble’s double-molecule-layered (double-bonded) membranes, which comprehensive closed-system embracement is similar to the cosmically total, eternally integral, nonperiodic, omnicomprehensive embracement by gravitation of the always-and-only periodically occurring, differentiated, separate, and uniquely frequenced nonsimultaneous attempts to disintegratingly escape Universe enacted by the individually differentiated sum-total entities (photons) of radiation. Gravity is always generalized, comprehensive, and untunable. Radiation is always special case and tunable.

986.836 Bubbles in either their independent spherical shape or their aggregated polyhedral shapes are structural consequences of the omnidirectionally outward pressing (compression) of the kinetic complex of molecules in their gaseous, single-bonded, uncohered state as comprehensively embraced by molecules in their liquid, double-bonded, coherent state. In the gaseous state the molecules operate independently and disassociatively, like radiation quantaergo, less effective locally than in their double-bonded, integrated, gravity-like, liquid-state embracement.