986.630 Interkinetic Limits

986.631 In a structural system’s interbalancing of compression and tension forces the tensed components will always embrace the compression components as does gravity always comprehensively embrace all radiationergo, tension is always outermost of all systems, macrocosmic or microcosmic.

986.632 Take any bendable substance and bend it. As you do so, the outer part of the bend stretches and the inner part compresses. Tension always has the greater radiusergo, leverage advantageergo, gravity is always comprehensive of radiation (Compare Sec. 1051.50)

986.633 In experiential structural reality the so-called sphere is always and only an ultra-high-frequency geodesic polyhedron; ergo, it is always chord-circumferenced and chord-convergent-vertexed rather than arc-circumferenced and arc-vertexed; ergo, it is always and only quasispherical, which quasispherical structural form is experimentally demonstrable as enclosing the most volume with the least surface of any and all symmetrical, equiangular, structural systems. Because of the foregoing we find it desirable to rename the spheric experience, using from now on the word spheric in lieu of the nonexistent, experimentally nondemonstrable “sphere.”

986.634 As an asymmetrical or polarized structural system, the hemispheric-ended cylinder has the same surface-to-volume ratio as that of a sphere with an identical diameterthe latter cylinders as well as their hemispherical terminals consist structurally only of high-frequency, triangularly chorded stuructures. The spheric and the hemispheric-terminalled cylinders alike contain the most volume with the least surface of all symmetrical polyhedra. At the other extreme of the surface-to-volume ratio, the equiangular tetrahedron encloses the least volume with the most surface of any and all omnisymmetrical structural systems. The more asymmetrical the tetrahedron, the more surface is required to envelop a given volume. It may be assumed, therefore, that with a given quantity of the same energy invested as molecularly structured, system-containing capability, it is less tensionally stressful to enclose a regular equiangular tetrahedron than it is to enclose any asymmetrical tetrahedron.

986.635 In respect to total surface areas of asymmetrical tetrahedra of unit (i.e., identical volume) enclosure, it is experimentally demonstrable that the greater the difference between the most acute angle and the most obtuse of its 12 surface angles, the greater the surface-to-volume ratio will be, and therefore the greater the tensional stressing of its outermost cohering componentsergo, the greater the challenge to the containment of its structural-system integrity. (See Sec. 923 and Fig. 923.10.) According to Newton’s law the mass interattraction of two separate bodies deteriorates exponentially as the distance apart decreases arithmetically; ergo, the relative interproximity of the atoms within any molecule, and the relative interproximity of the molecules as structurally interarrayed within any and all volume-containment systemsand the resultant structural-integrity coherences of those systemstrend acceleratingly toward their theoretical atom-and-molecule-interattractive-proximity limits. These chemical-structure-integrity limits are visibly demonstrated to the human eyes by the bursting of bubbles or of children’s overfilled balloons or of any other internally overpressured fluid-pneumatic, molecular-membraned containers when the membrane impinging and ricocheting interkinetic acceleration of an increasingly introduced population of contained gas molecules separates the molecules of the container membrane beyond their critical-proximity limits. These critical-atomic-and-molecular-proximity limits are mathematically and gravitationally similar to the proximity limits governing the velocity and distance outward from planet Earth’s surface at which a rocket-launched vehicle can maintain its orbit and not fall back into the Earth.