419.00 Superatomics 
419.01 Those subsequently isolated chemical elements beyond the 92 prime self regenerative chemical elements constitute superatomics. They are the nonself regenerative chemical elements of negative Universe. 
419.02 Negative Universe is the complementary but invisible Universe. To demonstrate negative Universe, we take one rubber glove with an external green surface and an internal red surace. On the green surface a series of 92 numbers is patterned; and on the red surface a continuance of 93, 94, through to 184, with number 184 at the inside end of the pinky^{__}each of the inner surface numbers being the inner pole of the outer pole point number positionings. The positions of the numbers on the inside correspond to the positions of the numbers on the outside. The numbering starts with the position of the five fingernails, then their successive first joints, and then their successive second joints from the tips: 5, 10, 15, and 20 numbers accommodated by the digits. The other 62 members are arranged in four rows of 12 each around the back and front of the palm of the hand. There is a final row of 14 at the terminal edge of the glove opening^{__}this makes a total of 92. Now we can see why the 92 numbers on the outside were discoverable in a random manner requiring very little physical effort. It was just a matter of which part of your gloved hand you happened to be looking at. But if we become curious about what may be on the inside of the glove we discover that the glove is powerfully resilient. It takes a great deal of power to turn it up, to roll back the open edge^{__}and it takes increasing amounts of power to cope with the increasing thickness of the rubber that rolls up as the glove opens. The elements from 93 on are revealed progressively by the numbers. 
Fig. 419.03 
419.03 The discovery of the first 92 selfregenerative chemical elements was not by the numbers starting with one, but in a completely random sequence. In the superatomics, beyond Uranium, number 92, the splitsecondlived chemical elements have been discovered in a succession that corresponds to their atomic number^{__}for example, the 94th discovery had the atomic weight of 94; the 100th discovery was atomic weight 100, etc. 
419.04 This orderly revelation is in fundamental contrast to the discoveries of the 92 selfregenerative elements and their naturally selfregeneratively occurring isotopes. The discovery of the posturanium elements has involved the employment of successively greater magnitudes of energy concentration and focusing. As each of the superatomic transuranium elements was isolatingly discovered, it disintegrated within split seconds. The orderliness of the succession of the discovery of superatomics corresponds to the rate of increase of the magnitudes of energy necessary to bring them into splitsecond identifiability before they revert to their inside^{__}ergo, invisible to outside^{__} position. 
419.05 Every layer of a finite system has both an interior, concave, associability potential and an exterior, convex, associability potential. Hence the outer layer of a vectorequilibriumpatterned atom system always has an additional full number "unemployed associability" count. In the example cited above (Sec. 418.03), an additional 92 was added to the 146 as the sum of the number of spheres in the first three shells. The total is 238, the number of nucleons in uranium, whose atomic weight is 238. Four of the nucleons on the surface of one of the square faces of the vector equilibrium's closestpacked aggregation of nucleons may be separated out without impairing the structuralstability integrity of the balance of the aggregate. This leaves a residue of 236 nucleons, which is the fissionable state of uranium^{__}which must go on chainreacting due to its asymmetry. 
419.10 Nuclear Domain and Elementality 
419.11 Where the primitive polyhedron considered is the vector equilibrium, the closestpackedsphereshell growth rate is governed by the formula 10F^{2} + 2 (Sec.222). Where the most primitive polyhedron is the tetrahedron, the growth rate is governed by the formula 2F^{2} + 2; in the cases of the octahedron and the cube see Sec. 223.21. The formula is reliably predictable in the identification of the chemical elements and their respective neutron inventories for each shell. The identifications are related exclusively to the unique nuclear domain pattern involvements. 
419.12 When a new nucleus becomes completely surrounded by two layers, then the exclusively unique pattern surroundment of the first nucleus is terminated. Thereafter, at three enclosure levels or more, the initial nucleus is no longer the unique nucleus. The word elemental relates to the original unique patterning around any one nucleus of closestpacked spheres. When we get beyond the original unique patterning, we find the patternings repeating themselves, and we enter into the more complex structurings of the molecular world. 
419.13 Uranium92 is the limit case of what we call inherently selfregenerative chemical elements. Beyond these we get into demonstrations of nonselfregenerative elements with the splitsecond life of Negative Universe. These demonstrations are similar to having a rubber ball with a hole in its skin and stretching that hole's rubber outwardly around the hole until we can see the markings on the inner skin that correspond to markings on the outer skin^{__} but when we release the ball, the momentarily outwardly displayed markings on the inside will quickly resume their internal positions. 
419.14 As we see in Sec. 624, the insideouting of Universe occurs only at the tetrahedral level. In the nucleated, tetrahedral, closestpackedsphereshell growth rates the outward layer sphere count increases as frequency to the second power times two plus two^{__}with the outer layer also always doubled in value. 
419.20 Elemental Identification of First and Second Shell Layers 
419.21 The outer layer of the vector equilibrium aggregates always equals the shell wave frequencies to the second power times 10 plus two. The sum of all the layers equals the number of neutrons of the elements, and the outer layer is always complemented by an equal number of active nucleons, which, if added to the sum of the previously encompassed neutron layer, equals the isotope number. 
419.22 The omnidirectional closest packing of spheres in all six symmetrical conformations of the primitive hierarchy of polyhedra probably provides models for all the chemical elements in a hierarchy independent of size in which the sum of the spheres in all the layers and the nuclear sphere equals the most prominent number of neutrons, and the number in the outer layer alone equals the number of protons of each atom. In the VE symmetry of layer growth the sum of the spheres is one and the outer layer is one: the initial sphere represents the element hydrogen, with the atomic number 1, having one neutron and one proton. The second VE assembly layer, magnesium, with the atomic number 12, has 12 protons and 24 neutrons. The third layer, molybdenum, with the atomic number 42, has 42 protons and a majority of 54 neutrons. The fourth layer, uranium, with the atomic number 92, has 92 protons and an isotopal majority of 146 neutrons. (Compare Secs. 986.770 and 1052.32.) 
419.23
Table: Number of Protons and Neutrons in Magnesium,
Molybdenum,
and Uranium

Vector Equilibrium Shell Growth Rate: 10F^{2} + 2

Fig. 419.30 
419.30
Closestspherepacking Analogy to Atomic Structure:
In 1978 Philip
Blackmarr, a student of synergetics from Pasadena, proposed
a novel analogy of closest
spherepacking geometry to electronprotonneutron interrelationships
and atomic
structure. He took note of the following four facts;

419.31 Blackmarr then hypothetically identified the electron as the volume of the unitvectoredge tetrahedron as ratioed to the volume of the fourfrequency vector equilibrium, representing a symmetrical and "solid" agglomeration of 308 rhombic dodecahedra (with two of the outerlayer rhombic dodecahedra assigned to serve as the symmetrically opposite poles of the system's axis of spin), or of 308 unitradius spheres and their interspaces. This evidences that the space filled by the 308 rhombic dodecahedra is the maximum, cosmiclimit, unitvector, symmetrical polyhedral space occupiable by a single nucleus. 
419.32


419.33 Here is an elegant realization that two spheres of the outerlayer spheres (or rhombic dodecahedra) of the symmetrical system have to serve as the polar axis of the system spin. (See Secs.223 and 1044.) 
419.34 Thus by experimental evidence we may identify the electron with the volume of the regular, unitvectorradiusedge tetrahedron, the simplest symmetrical structural system in Universe. We may further identify the electron tetrahedra with the maximum possible symmetrical aggregate of concentricallypacked, unitradius spheres symmetrically surrounding a single nucleus^{__} there being 12 new potential nuclei appearing in the threefrequency shell of 92 spheres, which threefrequency shell, when surroundingly embraced by the fourfrequency shell of 162 spheres, buries the 12 candidate new nuclei only one shell deep, whereas qualifying as fullfledged nuclei in their own right requires two shells all around each, which 12, newborn nuclei event calls for the fifthfrequency shell of 252 spheres. 
419.35 Together with the closestpacked spheres of the outer layer of the icosahedron of frequencies 1 and 4 (and of the outer layers of the closestpacked spheres of the one^{__} and only one^{__} nucleusembracing, symmetrically and closestpacked, unitradius sphere aggregates in the form of the octahedron, rhombic dodecahedron, rhombic triacontahedron, and enenicontahedron) as well as the already identified fourfrequency vector equilibrium, the rhombic dodecahedron is the maximum nuclear domain within which the pretimesize set of chemicalelementforming atoms' protonneutronand electron interrelationship events can and may occur. 
419.36 All of the foregoing is to say that the size of one spinnable proton consisting of 308 rhombic dodeca closest packed in the symmetrical form of the fourfrequency vector equilibrium is 1836 times the size of one prime, pretimesize, prefrequency, unit vectoredge tetrahedron or of one electron. Multiplication only by division means that the timesize frequencies of the elements (other than hydrogen) occur as various concentric shell symmetry phases of the singlenucleusembracing, symmetrically closestpacked, singlenucleus aggregates in the multiconcentriclayered forms of the vector equilibrium, tetrahedron, octahedron, rhombic dodecahedron, rhombic triacontahedron, and cube. 
419.37
Synergetics has long associated the electron with
the icosahedron.
Icosahedra cannot accommodate concentric shells; they
occur as singlelayer shells of
closestpacked, unitradius spheres. Since the proton
has only the outer shell count, it may
be identified with the icosa phase by having the total
volume of the rhombic
dodecahedroncomposed fourfrequency vector equilibrium
transformed from the 306
(nonaxial) nucleon rhombic dodecahedron into each of
the closestpacked, singlelayer
icosahedra shells as an emitted wave entity. The rhombic
dodecahedron neutrons are
packed into concentric layers of the vector equilibria
to produce the various isotopes. For
example:

Next Section: 420.00 