Ted Erikson:  

GE0METRIC PROCLIVITIES (2019) BY TED ERIKSON There are rules that are governed by people, places, and things. Then there are rules governed by faith and fact studies of the natural world that surrounds us As a child I was always confused by which rules really applied to me, personally, which persisted into adult years. This essay proposes simple geometric rules that suggest a more natural guide for everything living and that which surrounds it, i.e., proclivities of life! An inscribed sphere in a regular tetrahedron outlines a geometric mapping of the surrounding world. The sphere and it’s circumscribed tetrahedron are related geometrically by three radii. Relative to a center, they are radii to a: vertex, edge, and face of the tetrahedron, the latter also a radius of the inscribed sphere tangent to the faces. Figure 1. Geometry of tetrahedron edge, “E” and inscribed sphere radius, “R” A regular tetrahedron has four points, as vertexes, equally distant from each other which are connected by six equal sized edges of length, “E”. It contains an inscribed sphere of radius, “Rf”, that is tangent to each of the four faces of the tetrahedron. Any edge length E defines three radii, R; as Rv to the vertex, Re to the edge, and Rf to the face (the latter also the inscribed sphere radius). The activity (surface-to-volume ratios as A/VT & A/VS for the inscribed sphere in a regular tetrahedron are equal, i.e., A/VT = A/VS implies 14.69/E = 3/R is mathematically proven and cited by me in 1989. With E fixing Rf at 0.2041E, simple substitution verifies the equality. After many years to exploit this unique condition of equilibrium it conclude that the inscribed sphere is a mass influenced by four tangencies with the four faces of the regular tetrahedron’s energy. Mass attracts another mass by mutual love or affection. Newton’s law of gravity defines this as a mass product divided by the square of their separation distance. If they kiss (two orbicularis oris muscles in a state of contraction), or express their affection deeper, the separation distance, as a tangent, approaches zero and the force of attraction increases markedly. Division by “zero” implies infinity as the attraction! Mathematics, remember? Surface-to-volume activity is maximized by tetrahedrons and minimized by spheres. The former is a property of energy that can cause motion and accomplish work, while the latter, as mass, is more passive (unless living due to intrinsic energy). As indicated previously, with A/VT = A/VS, their product is the square of 14.69/E, i.e., 215.8/E2 where E represents distance of separation as mass and/or energy. As E’s approach zero, the squaring doubles the gravity forces due to tangency. So, why is this important? Four faces of a regular tetrahedron fix the ratio E/R as; (1) a dimensionless ratio of lengths, where R is fixed by any E (2) suggests E/M (which is c2 by the Einstein relation), (3) as. a presumed energy to mass ratio, E/R, to be 215.8/E2, and (4) as critical to 1/ E2, as E approaches a tangency of zero! This interpretation is confirmed by noting that Pressure, P, is an energy volume ratio, E/V. An energy mass ratio, E/M, is C2. Dividing, P/ C2, cancels the “E’s” to produce P = (M/V) C2, a tremendous energy and density potential for an extreme PV product to be multiplied by MC2! Gravity forces rule by tangents of energy with mass! Light has freedom, while mass seeks security. # (Layman’s version, began 5/21/2019,finished 5/26….) __________________________________________________________________ • Erikson, Ted, “PANPHYSCHISTIC TANGENTS”, June, 2019 (In process) Swimming over the surface of life's liquid companion, a trade-off.) by Ted Erikson SdogV:R/E Unltd. Chicago, IL Why do what we do? It seems that my symbiotic need for water is stronger than its need for me.... Or is it? Such questions apply to both water and me, but water continues to persist, while I must ultimately perish. Since my incubation in water nearly 90 years ago, I've drunk it, bathed in it, and surrendered to its liquidity by swimming through it. There are countless people who swim, have swum, or wish to swim, exceeded only by those who walk or run. Schools generally offer pool swims as physical education and many encourage swimming as a competitive sport. Varied interests in water can extend beyond pools to beaches or ponds, rivers, lakes, and oceans, seeking water and sun activities. Some swimmers continue competing in local and national events. Only a few seek fame through individual pursuits (e.g., English Channel) or fortune from professional marathons (e.g., La Traversee International...Expand for more