8 OMNIDIRECTIONAL HALO

8   OMNIDIRECTIONAL HALO

1Synergy means behavior of integral aggregate systems unpredicted by behaviors of any of their components or subassemblies of their components. Chrome-nickelsteel has a higher tensile, or integrally self-cohering, strength than the sum of the separate tensile strengths of its alloyed elements. Synergetic behaviors are commonplace throughout chemistry and biochemistry but so unfamiliar to man’s visible spectrum range events that the word syn-ergy, though the equal in age of its companion word en-ergy, is popularly unfamiliar.

2 The lack of popular and academic familiarity with the word synergy, which in the English language alone connotes the behavior of whole systems unpredicted by behavior of their components, means that man in his everyday social world has not been in need of this word, which in turn tells us that he lacks this fundamental conception in his conscious thinking processes. He ascribes all behaviors unpredicted by his statistical probabilities to ‘‘luck’’ or miracle. This particular gap in man’s everyday fundamental thinking and common sense accounts for many fallacies in his spontaneous reflexing and contemporary behavior. Ignorant of the regenerative signifi

3 cance of synergy, man is vulnerable to de-generative feed-back consequences in his comprehensive determinations.

4Universe is the comprehensive integral-aggregate system embracing all the separate integral-aggregate systems of all men's consciously apprehended and communicated experiences. The total of experiences is integrally synergetic. Universe is the comprehensive a priori synergetic integral. Universe continually operates in comprehensive, co-ordinate patternings which are transcendental to the sensorially miniscule apprehension and mental comprehension and prediction capabilities of mankind, consciously and inherently preoccupied as he is only with special local and nonsimultaneous pattern considerations.

5 Encyclopedias and dictionaries inventory man’s progressively invented words for communicable identification of all his evolving experience cognitions. Dictionary is a collective concept. Universe is the ultimate collective concept---i.e., the collection of all intelligible, inherently separate evolutionary- event aspects which latter apparently occur exclusively and only through differentiating considerations which progressively isolate the components of whole and inclusive sets, super-sets, and sub-sets of generalized conceptioning in retrospectively abstracted principles of relationships. "Dae generalized comprehensive principles of interrelationships progressively discovered as governing our subsidiary generalized principles are embraced by our finition of universe.

6 The word con-sider-ation comes from sidus, the Latin for star, the focal point of an as yet nondifferentiated concentration of events---ergo, con-sider-able, or con-stellar patterning, means an exploratory groupingof ‘‘stars’’ or complexidea entities that seem to man’s limited tuneability to stand out together.

7 Neither the set of all-experiences nor the set of all-the- words which describe them nor the set of all the generalized conceptual principles harvested from the total of experiences are either instantly or simultaneously reviewable. ‘‘What was that man’s name?’’ Our answering service may take five seconds, five minutes, five hours, five days, or five generations to reply. Our conscious orderly reconsideration of our variable lag experiences discloses subconsciously co-ordinated regularities of feed-back rates governing the recall phenomena.

8All experiences are finitely furnished w’ith differentiated cognitions, recognitions and comprehensions. The finite furniture consists of widely-ranging degrees of comprehensive con- stellar complexities. A wide range of time investment magnitudes must be assigned to the respective considerations of the multitude of different constellar, experience-pattern comprehensions. We cannot read simultaneously all the words in the dictionary; yet the dictionary is a finite collection of finite word entities each in turn consisting of collections of finite letter symbol entities.

9Universe is finite because it is the sum total of finitely furnished experiences. The comprehensive set of all-experiences synergetically constituting universe discloses an astronomically numbered variety of sub-set event-frequency rates and then- respective rates of conceptual tuneability comprehension. It takes entirely different lengths of time to remember or ‘‘look up’’ different names or past event facts. Universe, like the dictionary, though integral is ipso facto nonsimultaneously recollectable and, therefore, as with the set of all the words of the dictionary, is nonsimultaneously considerable and therefore is also nonsimultaneously reviewable, ergo is synergetically incomprehensible, yet progressively revealing.

10 The age-long fallacial propensity which has frustrated adult man’s adequate conceptioning of universe is that of spontaneously assuming that universe must consist of a simultaneously unit conceptuality---ergo, of simultaneous geometry or shape, i.e., a simultaneous structure. What is the shape of the universe? What are its boundaries? These are unitary, simultaneous static questions. They have no logical answer for universe though finite is a nonsimultaneous structure. Children know this better than their parents through innate conceptioning as yet unspoiled by erroneous logic. They remember the juggler putting a simultaneous array in the sky with nonsimultaneous tosses. The childhood representational pictures depict their dynamically arrayed concept of the ‘‘whole world’’ inventory, of mentally juggled arrays of nonsimultaneously occurring experiences agglomerated without any intended geometrical interrelationships. In all lands the children’s spontaneous pictures contain ‘‘the’’ house, trees, birds, dogs, flowers, grass, clouds, stars, the sun and the moon. The parents say, ‘‘Darling, a nice picture, but we don’t have both the moon and the sun at the same time.’’ The parents are wrong---both the sun and moon coexist at all times whether temporarily co- visible or not. The parents’ rationale has been damaged so that it can only consider and associate those items which are simultaneously grouped in unitarily static array. Yet in equal illogic the parents keep on attempting to see the universe of nonsimultaneity in unitary, static and simultaneous geometrical array as a ‘‘thing’’---a very big ‘‘thing’’---the biggest ‘‘thing.’’

11 It is in evidence that universe, as the co-ordinate integral of all-experience is finite yet nonsimultaneously recollectable--- ergo, unitarily unpatternable---ergo, conceptually unthinkable ---ergo, undefinable. This is to say undefinable does not mean infinite or un-finite. It means that---definability---definite is a sub-set of finite---ergo, pattern definition is a subdivision of finite-yet-imitarily--indefinable universe. The definable conception is therefore the first thinkable sub-set functioning of universe.

12 There are metaphysical yet cogent early words emergent from the limbo of prehistory’s quasi-logical accounting continuities which show that intellect has lono- been aware of the o

13 Z/Efunction. For instance, Dl-Vine, DI-, DE- (of Di-chotomy ---cell division---regenerate through bi-multiplication). The concept of a DE-VINING DE-ITY, i.e. the defining deity, the great intellectual capability of differentiating discernment, probably originated in the same conceptual logic as did DIVIDE out of DI-TLSION---to see the whole as functionally differentiable yet only locally and progressively conceptual. In the differential calculus this becomes the delta---A 5 D --- of fundamental differentation.

14 Differentiable function x in respect toy. Functions do not occur exclusively of one another. Functions occur only as inherently co-operative and accommodatively varying sub-aspects of synergetically transforming wholes. MULTIPLICATION accomplished only by DIVISION. Universe expanding through progressively differentiating considerations.

15 Definable thought patterning deals only progressively (by re-scanning) with the local event foci of experienced pattern- ings of universe. Definable thought though constituting systematic consideration and orderly reconsideration, which returns omnidirectionally upon itself in local conceptual relationships in only a subdivision of finite, which is universe, which is inherently inconceivable unitarily.

16Inconceivability does not mean infinite anymore than does

17invisible. Finite is unique to universe because it means complete, but not terminal. The locally definable entity is not complete, for it does not exist by itself. All experiments show that local entities are inherently both entropic and antientropic,

i.

e., all local systems are always intimately linked with the rest of universe by measurable import and export pattern transactions. Definable entitites are uniquely functioning components of universe. Universe is the minimum as well as the maximum closed system of omni-interacting, precessionally transforming, complementary transactions of synergetic regeneration. Local perpetual motion systems are impossible, since universe is the minimum regenerative set of perpetually intercomplimentary transformative functioning.

18 Systematic conceptioning and recollected conceptioning, both universal and local, which progressively traces, relates, and compares nonsimultaneously observable locally functioning entities is self-disciplined. The self-discovered capability to communicate to others by the recollectable and pictured wordtool developed a co-ordinate memory of all men.

19 Generalized systematic conceptuality’s omni-directional relationships are only angularly configured and are independent of size or dimension. No man has ever ‘‘seen’’ outside himself. His brain is a multi-frequency (four sensory ranges) scanning (TV) integrator, continually operating in co-ordination with a multitude of memory (kinescope taped) TV scanners. The whole array of new and memory TVs is frequency monitored by an angular and frequency modulated pattern commonality scoring and score-predicting conceptual co-ordination capability. The TV co-ordinating conceptual capability includes a score-guessing and score-guess testing faculty, as well as a strategic-tests-contriving-pattern considerator, all of

20 which conceptual patterning proclivities are self-started and regenerated by synergetical intellection.

21 The conceptual process is never static. Thinking does not consist of the insertion of invented images into an otherwise empty vacuum-tube chamber called brain. Thinking is the self-disciplined process of preoccupied consideration of specialcase sets of feed-back answers selected out of the multitude of high frequency alternating trans-ceiver brain traffic. This traffic consists of omniexperience processed answers to present or past questions, formulated either by the conscious or subconscious co-ordinating initiative of the individual or possibly by the individual overlapping generation of group memory.

22 Because of the varying depths of storage of past experiences, some answers come back swiftly, some slowly. The recollectability rates are unpredictable. The returning-answers traffic is heterogeneous. Many answers come to questions we have forgotten that we have asked. Conceptually systematic tuning of questions and feed-back answers, comparatively considered in the brain, results in temporary, tuneably valved exclusion of all other incoming signals traffic. Discreet tuning admits consideration only of those recollections which are clearly relevant to the omnidirectional rounding out of systematic comprehension of the special case set of events intuitively selected for momentary focal consideration. Thinking consists then of a self-disciplined, deferment of conscious consideration of any incoming information traffic other than that which is lucidly relevant to the experience intuited quest for comprehension of the significance of the emergent pattern under immediate priority of consideration.

23 The thinking process results in varying degrees of lucidity of the arrayed residue of focal event patterns uniquely conse- 136

24quent to the disciplined deferment of irrelevancies. Thinking is a putting-aside, rather than a putting-in discipline, e.g., putting aside the tall grasses in order to isolate the trail into informative viewability. Thinking is FM----frequency modulation---for it results in tuning-out of irrelevancies as a result of definitive resolution of the exclusively tuned-in or accepted feed-back messages’ pattern differentiatability. As the exploring navigator picks his channel between the look-out detected rocks, the intellect picks its way between irrelevancies of feedback messages. And as the navigator realizes secondarily that the channel winds between two sets of rocks, the rocks to starboard and the rocks to port, intellect also discovers secondarily that all the irrelevancies of feed-back information have inadvertently fallen into two main classes, as follows.

1.

The class of all the finitely-furnished experience events which are too large and too infrequent to have considerable frequency significance in-tuneability in respect to the modular magnitude ranges under consideration.

2.

The class of all the finitely-furnished experience events too miniscule of wave module and of too high frequency to in any way be significantly tuneable into the considered spectrum range.

25 Each class has its twilight zone of almost (or tantalizingly almost) relevancy which, if we were to accelerate our consideration rate, might attain consider ability within the tactical limits of assignable capital-life-time intuitively budgetable to such consideration. Between the twilight zones of almost-too- large and almost-too-small to be relevantly considerable lies a zone of lucidly tuneable relevancy of the experienced event recollections.

26 Because of the incessant wheeling about of humans first in

27 the womb, then in the baby carriage, then on foot, in the auto and ship and plane roundabout a spinning earth in a spinning solar system within an involuting-evoluting, spirally spinning galaxy, totally inventoried experiences are inherently omnidirectional when considered as the sum of observational orientations. Universe (as all-experience) is inherently omnidirectional in its observational orientations---ergo, the temporary putting-aside of the two classes of irrelevancies requires an omnidirectional putting aside which differentiates as an outwardly dismissed macrocosmic disposition of the too-large and too-infrequent conceptual informations and an inwardly dismissed residue set of all the too-miniscule and too-frequent events---ergo, the lucidly tuned in, residually considerable set of event-foci lies within a spherical zone between the thus separated twilight zones of almost-considerable miniscules and bigs, respectively. As a consequence, the residual set of tuned- in experience event-foci are caught in a spherical zone trap of feed-back recollected considerability appropriate to systematic reviewing and possible definition.

28 Out of nonsimultaneously conceptual, yet finite, universe has emerged a definitively conceptual geometry, not a geometry invented by the conceiver but an a priori geometry discovered by the re-considerer as a residual relevancy constellation.

29 We thus discover that systematic recollection and thought- out definition lies within a geometrically conformed zone which inherently subdivides the universe into distinctly separate microcosm and macrocosm, which two are, however, only meagerly isolated from one another by a local constellation of considerable relationships. No matter how meager the network of zonal relationships of the residually considered star set of holding-pattern relevancy, the latter shuntingly impedes in 138

30 some degree the velocity of omnidirectional universal information traffic, forced by geometrical surroundment to pass through the zonal constellation. If a squadron of boats enters a river’s mouth and passes upstream and anchors, their presence

31

32Fig. 2. Linear Tetrahedron. (A) A linear

33

34 and the friction of their hulls will mildly retard or choke the river’s flow. Thus do the constellation of considered events mildly choke the otherwise unimpeded universal and geo- desically-inter-routed communication traffic which they have separated into the two (micro-macro) realms. As Heisenberg shows in his principle of ultimate indeterminism the physical act of measurement always alters the behavior of the measured phenomenon. In the same way we show here that the thinking process inherently alters the fundamental patterning of universal thought-about interrelationships.

35 We thus discover that thought and its tuneably differentiating local definitions constitute the first subdivisions of finite universe. Ergo finite universe is something greater than any definable local system’s zone of constellar, geometrical lucidity which zone is itself secondarily definable by its disparity of concavity of withinness and convexity of withoutness.

36 In a con-sideration four is the minimum number of stars having an inherent arrangement of within-ness and withoutness. Therefore we discover next that the minimum con- ceptually-considerable generalized-experiences-set, affording macro-micro separation of universe, is a set of four local eventfoci. These four stars have an inherent sixness of interrelationships. This four-foci, six-relationship set is definable as the tetrahedron. This minimum fourness of relevant-frequency, ergo thinkable ‘‘stars’’ coincides with quantum mathematics requirement of four unique quanta numbers per each uniquely considerable ‘‘particle,’’ quanta are inherently tetrahedronal.

37 In the prime dichotomy of universe into a thinkable tetrahedronal zone between unconsiderable irrelevancies, which in turn requires a secondary zonal separation into macro-micro momentarily unthinkable cosmoses, it becomes evident that the tetrahedronal zone itself introduces a tertiary dichotomy---into the two inherent twilight zones of almost considerable bigness and almost considerable littleness, respectively.

38 We find & fourth-stage dichotomy of universe when we
consider that the big and little twilights each respectively are again also comprised of two tetrahedra as minimal requirement, one as the concave inward tetrahedron and the other as the convex outward tetrahedron.

39Fig. y Pattern of Thought. Thinking is frequency modulation---tuning out finite irrel- evancies into two main classes: micro-macro, which leaves residual defined system as lucidly relevant.

40 We next, fifthly, discover that the positive-negative (convex-concave) tetrahedra constitute only the minimum functional dichotomy of finite universe, resulting in a minimum portion of the universe disposed in the microcosm and a maximum portion of universe assigned to the macrocosm. Among geometrical systems a tetrahedron encloses the minimum volume with the most surface and a sphere the most volume with the least surface. An approximately spherical polyhedronal zonal dichotomy of finite universe by a spherical array of considered relevancies provides the minimum portion of sum totally finite universe assigned to the macrocosm and the maximum relative portion of finite universe assignable to the microcosm.

41Almost

42Finite

43Micro-

44Irrelevaner

45Too small

46Too frequent

47 Finite Macro-Irrelevancy, Too large, Too infrequent

48 Lucidly relevant

49 Almost

50Fig. 4. Pattern, of

51

52

53The finite Withoutness, Macrocosm Irrelevancy

54 We may say that the minimum zonally defined within- ness conformation is tetrahedronal and the minimum zonally defined withoutness is spherical. Therefore, the most extensive lucidly conceptual and definable recollected-experience zone range lies between a tetrahedronal ‘‘withinness’’ twilight and a spherical ‘‘ withoutness'' twilight, beyond which are the non- tuneable (1) outwardness and (2) inwardness---the subtracted Euler’s twoness from nonconceptual finiteness which permits conceptual de-finiteness or definition of cognition.

55 Because the permitted conceptuality involves a unit expenditure from universe of a de-finite twoness, unit conceptuality must have a finite twoness penditure value, ergo prime conceptual unity acquires an inherent value of two. Unity is inherently plural. Unity is always divisible as twoness, or fourness, or sixness, of inherent minimum relationships. The alternate relative proportions of finite universe’s micro-macro

56

57 Non-Conceptual Finite Withoutness Nonsimultaneity, Nonsynchronously Tuneable

58 magnitude limits of definitive dichotomy as tetrahedronal minimum or spherical maximum introduce an inherently alternative propensity of universal finite accountability whose alternative eccentric-concentric reciprocity of omnidifferen- tial-lag-rate compensations inherently propogate and regenerate preferably considered universal evolution accomplished

59 by omnidirectionally expansive-contractive wave propagating oscillations.

60 Frequency of modular subdivision of vectorial lines are ratioed to cyclic increments of time realizing the accomplished velocity. Unity is the full circle sweep around an axis. Angles are fractions of cyclic unity. Frequency means a discreet plurality of cycles within a given greater cyclic increment. Angle means a fraction of one cycle. Angle is therefore sub- cyclic-unity, while frequency is plural unity. Angle is less than finite cyclic unity. Frequency is greater than finite cyclic unity. All physical realizations have relative-size, i.e., dimensionality. The phenomenon size consists of frequency modulated linear (i.e. vectorial) dimension. Angular phenomena being sub-finite cyclic unity, or zero frequency, may be independent of size. Generalized angular or tri-angular or tetrahed- ronal conceptioning may be independent of size.

61 The three angles of one face of a triangle always add up to i8oř as a phenomenon independent of the relative dimensional size of the triangles. 180ř is one-half definitive cyclic unity. Every triangle has two faces---its obverse and reverse. Unity is two. So we note that the angles of both faces of a triangle add up to 360ř. The sum of the external angles of two triangles’ obverse and reverse faces is 720ř. The sum of the external angles of a tetrahedron is 72 oř. The sum of two triangles’ external angles is equivalent to one tetrahedron.

62 The relative size of a triangle is a secondary, observer induced consideration and depends upon the frequency modulated edge increments of the triangle as ratioed to some other physical experience entity.

63 Angles of tetrahedra always add up to 720ř independent of size.The angles of a cube always add upto 2160řindependent

71 Line 2

155Table I. Angular Topology Independent of Size.

156

157 of the cube’s size. A tetrahedron is definite yet independent of size. All angularly modulated definite geometrical systems or figures are independent of size.

158 Relationships which have definite integrity and independence of size are conceptual principles of abstract thought independent of physical realization.

159 The difference between the sum of all the angles around all the vertices of any system and the total number of the vertices times 560ř (as angular unity) is 720ř which equals two unities. The sum of the angles of a tetrahedron always equal 720ř. The tetrahedron may be identified as the 720ř differential between any definite local geometrical system (Greek solid} and finite universe.

160 A line has two vertices with angles around each of its vertexial ends equal to oř. The sum of these angles is oř. The sum of the vertices (2) times unity (560ř) is 720ř. The remainder of oř from 720ř is 720ř or two unities, or one tetrahedron, Q.E.D.

161 A triangle has three vertices. The sum of the externally viewed angles around each is 120ř of which 6oř is on the obverse side of each vertex of the triangle 5 for a triangle, like a line, if it exists, is an isolatable system always having its positive and negative aspects. The angles of ob- and re-verse triangles add up to 360ř. The triangle is three vertices times 360ř= 1080ř which minus 360ř (sum of triangles’ angles) = 720ř Q.E.D.

162 Two triangles’ external angles make one convex tetrahedron or 720ř. The coincident concave tetrahedron’s angles add up to 720ř. The positive and negative tetrahedra always coexist +720ř-720ř=0ř.

163 Four vertices equal one positive tetrahedron; therefore, one

195Table 2. Tctrahcdronal Mensuration applied to Well-Known Polyhedra. We discover that the sum of the angles around all vertices of all solids is evenly divisible by the sum of the angles of a tetrahedron. The volumes of all solids may be expressed in tetrahedra.

196 Dodecahedron

197 Triacontahedron

198 524’x 20 = 6480ř

199 180ő x 60= 10,800ř

200 6480’

201 =9 te trail cd ra

202 720’

203 10,800’

204 =15 te trailedra

205 720’

206 Two Frequency Regular Geodesic

207 180ř x 80 =14,400’

208 14,400’ , ,

209 =20 tetrahedra=ox2-

210 720’

211 Three Frequency 20ř x 9 = 180’

212 Alternate Geodesic 180’x 180 = 52,400’

213 52,400’

214 =45 tetrahedra=5x5²

215 720’

216 Four Frequency Triacon Geodesic

217 180’x 240=45,200’

218 45,200’

219 =60 tetrailedra= 15 x2²

220 720’

221 positive conceptual convex tetrahedron is + 72 oř and the difference between it and finite universe is one-negative nonconcep- tual concave tetrahedron. Neither the positive nor the negative tetrahedron may occur without the other.

222 A zero tetrahedron is vector equilibrium, is universe.

223 Experience is inherently discontinuous and islanded and each special experience represents a complex of generalized principles operative in special or limited size (i.e., dimension, i.e., frequency) modulated realization.

224 Brower’s mathematical theorem states that if any number of points on a plane are stirred around an x amount on cessation of the stirring, one of the points may be shown to have been the center point of the stirring---and never to have moved in relation to the others. In order to be ‘‘stirred,’’ these points must have multi-dimensionality and the cluster of stirred points must have obverse and reverse sides. Therefore, the obverse-reverse sides must each have visible points that were the centers of the stirring and, short though the distance between the obverse-reverse surface neutral center points, the short line between the obverse-reverse visible central points’ obverse-reverse poles constitutes a neutral axis of the system of points and isolates two points for axial functioning in every layer of both polar zones of every point system swarm. Pauli’s exclusion principle verifies that each of the stirred points in Brower’s theorem and the point which did not move have their inherently separate counter part points which discloses both the neutral axis formed by the two points that do not move and the obverse and reverse sets of moving points. Thus, we discover that even a ‘‘points’’ angular topological difference between its definiteness and finiteness is 720ř

225 There is no phenomenon ‘‘solid matter’’} therefore there

226 292,520ř-291,600’=720’=

227Number of Vertices
Multiplied by ICQ⁹

228Number of Triangles
Multiplied by 180ř
Equals Sum of Angles
around All Vertices

229Difference

230 42x360ř= 15,120ř

231 80 x 180’= 14,400ř

232 15,120’---14,400ř=720’=

233 1 tetrahedron

234 Regular Geodesic Two- Frequency Icosahedron

235 Regular Geodesic Four- Frequency Icosahedron

236 162 x 360’=58,320ř

237 320x180’=57,600’

238 58,320ř---57,600’=720ř=

239 1 tetrahedron

240 Regular Geodesic Nine- Frequency Icosahedron

241 812x360’=292,520ř 1620 x 180’=291,600’

242 1 tetrahedron

243Table y Tetrahedronal Mensuration applied to Spheres. may not be a ‘‘solid’’ sphere, nor a ‘‘solid’’ surface sphere. All spheres consist of a high frequency constellation of eventpoints, all of which are approximately equidistant from one central event ‘‘point.’’ All the points in the surface of a sphere may be interconnected. If most economically interconnected, they will subdivide the surface of the sphere into an omnitriangulated spherical web matrix. As the frequency of triangular subdivision of a spherical constellation of omnitriangulated points approaches subvisiblity the difference between the sums of the angles around all the vertex points and the numbers of vertices when multiplied by 560ř remains constantly 720ř which is the sum of the angles of two times unity (of 560ř). The sum of the angles of a tetrahedron, regular or irregular, is always 720ř, just as the sum of the angles of a planar triangle is always 180ř. We may state two laws which say: (1) the sum of the surface angles of any polyhedron equals V*¹ multiplied by 360ř minus one tetrahedron; (2) the sum of the angles of any polyhedron (including a sphere) is always evenly divisible by one tetrahedron. We may also say that: Where unity (1) equals 360ř, 180ř equals one-half unity (>/₂) and that 720ř equals two times unity (2); therefore, we may identify a triangle as one-half unity and a tetrahedron as two unities (y₂), (2).

244 The calculus assumes that a plane is infinitesimally congruent with the surface of a sphere at the point of the plane’s tangency of the sphere. The calculus and the spherical trigonometry therefore also assumes that the sums of the angles around any point of any sphere are always 360ř. The demonstration thus far made discloses that the sums of the angles around all the vertices of a sphere will always be 720ř or one tetrahedron less than the sum of the vertices times 360ř, ergo, one basic assumption of the calculus is invalid.

245 In review, this chapter shows that the phenomenon ‘‘infinity’’ of the calculus is inherently finite. Universe equals the aggregate of men’s consciously apprehended and communicated experiences. By my definition, universe is nonsimultaneous but finite because all experiences begin and end. and being terminal are finite; ergo, universe as the sum of Unites is finite. The first subdivision of nonsimultaneous universe is effected by a local system which divides the universe into three finite parts: the portion of universe outside, the portion of the universe inside, and the system. We find local spherical systems of universe are definite rather than infinite as presupposed by the calculus’ erroneous assumption of 360 degreeness of surface plane azimuth around every point on a sphere. Nonsimultaneous universe is finite but conceptually undefinable; local systems are definable. We discover that universe is finite and a local system is definite and the definite local system plus one tetrahedron (or two unities) equal finite universe. The difference between universe and any local system is always one tetrahedron. Every local system may be subdivided into whole tetrahedra.

246 If we combine, first, the fact of Van’t Hoff’s discovery that all the organic chemical compounds are structurally cohered in the terms of the tetrahedra’s four vertexes and, secondly, the fact of Linus Pauling’s X-ray defraction implemented discovery that all the metallic elements thus far experimentally analyzed combine in nonvertexially interlinked tetrahedronal structures and, thirdly, the facts which I have disclosed in this and the preceeding pages we may well conclude that it is reasonable to adopt the working assumption that: all of the definable structuring of universe is tetrahedronally co-ordinate in rational number increments of the tetrahedron.

247 Finite minus de-finite means two tetrahedra minus one tetrahedron. Finite universe equals four cyclic unities. Each tetrahedron equals two; therefore, finite (4) minus conceptual definite (2) equals two, which constitutes one negative invisible tetrahedron.

248 Reviewing again, this halo conceptioning discloses the minute yet finitely discrete inaccuracy of the fundamental assumption upon which the calculus was built; to wit, that for an infinitesimal moment a line is congruent with the circle to which it is tangent and that a plane is congruent to the sphere to which it is tangent. Calculus had assumed 560ř around every point on a sphere. The sum of a sphere’s angles was said to be infinite. The Halo concept and its angularly generated topology proves that there are always 720ř or two times unity of 360ř less than the calculus assumption of 360ř times every point in every ‘‘spherical’’ system. This 720ř equals the sum of the angles of a tetrahedron. We can state that the number of vertices of any system (including a ‘‘sphere’’ which must, geodesically, in universal energy conservation, be a polyhedron of TV vertices) minus two times 360ř equals the sum of the angles around all the vertices of the system. Two times 360ř which was the amount subtracted, equals 720ř, which is the angular description of the tetrahedron. The spherical error of calculus is one discreet tetrahedron. We have to take angular ‘‘tucks’’ in the nonconceptual finity (the calculus infinity) to make a local definite system (the calculus finity). The ‘‘tucks’’ add up to 720ř, i.e., one tetrahedron. The difference between conceptual de-finity and non-conceptual finity is one nonconceptual finite tetrahedron.

249 In the general theory of variables it has been recognized that the set of all the variables may be divided into two classes

250 ---(i) the class of all the inclusive variables within a given system and (2) the class of all those operative exclusive of the system. It has been further recognized that the variables outside the system may affect the system from outside. In varying degrees specific levels of sub-classes of these ‘‘background’’ or outside variables are identified as parameters. This background ‘‘inside and outside’’ concept is a two dimensional or flatprojection concept.

251 Our omnioriented Halo concept converts the parameter consideration to conceptual four dimensionality and discloses a set of parameters inside as well as outside the zone of lucidly considered system stars. And the parameters are at minimum fourfold: [1] the convex twilight zone of inward relevancy, [2] the concave twilight zone of outward relevancy, [5] the stark nonconceptual irrelevancy inward, and [4] the stark non- conceptual irrelevancy outward. Parameter [1] is a tetrahedron. Parameter [2] is a tetrahedron. Parameter [5] plus parameter [4] comprise an invisible tetrahedron.

252 The considered relevancy within the zone of lucidity consists of one more tetrahedron. For each ‘‘considered tetrahedron’’ there are three parameteric tetrahedra. We discover that our omni-halo epistomological accounting consists of rational tetrahedronal quantation.

253 When we missed the moon in our first attempt to shoot a rocket to it, the tetrahedronal tuck in universe may have represented that discreet error. It was directly relatable to our lack of awareness of the disparity of the calculus. This disparity is corrollary to the same mathematical disparity that was physically discovered in atomic behavior, which brought its discoverer’s the 1957 Nobel prize and which discovery invalidated ‘‘physics’ ’’ long held ‘‘law of conservation of parity’’

254Synergetically Symmetric

255 96

256

343 Remainder

344Fuller Synerfcnc

345Treatment Divides
by Fundamental
withinness and withoutness.

346Convex---Cuncm e
Disparate
Tuxtneis
+2

347 Fuller’s
Topological
Formula for all
Dynamically symetrical

348 Omni-triangulated
Polyhedra
(where P-A Prime .Vo.)
(where u- Frequency)

349 U a Frequency of Modular
Subdivision of Exterior
Edges of System,
Tetra, Octa, Icosa.

350 Multiplication of
one of
first four
prime numbers
1, 2, 5, 5 or their
powers or multiples

351 Topological
Abundance
Constant
1+2-5

352 1 Non Polar
Vertex
+

353 2 Faces

354 5 Edges

355 Table 4. Topological Hierarchies. Copyright If!) by R. BuckmintUr Fuller. Reprinted
by Permission of Mr. Fidler.

356

357

358which held the obverse and reverse to be identical, ergo, redundant. A further corrollary to the tetrahedronal disparity of systems invalidates the functioning significance of the transcendental irrational constant Pi. The comprehension of this mild error and implementation of the mathematical strategy of nature’s co-ordinate system which I have disclosed and named Energetic/Synergetic Geometry may greatly improve the extra-terrestrial undertakings whose effectiveness has not been frustrated so much by inadequate energy supply as by inadequacy of fundamental mathematical conceptioning and its resultant technical incapability. Our computor instrumentation is phenomenally good, but our problem stating and question asking have been inadequate.

359In the inherently subjective language of physical transformation of an omni-interaltering and accelerating universe there are only two fundamental kinds of observable transformational changes, i.e., angular, or sub-unity alterations, and linear, or plural unity (frequency modulated) accelerations. These subjectively viewed transformations of universe are also objectively and locally controllable by man through designed angle and frequency modulations.

360 In the Energetic/Synergetic Geometry’s isotropic, vectori- ally triangulated, omnidirectional matrix initiations the angular and linear accelerations are rational and uniformally modulated, whereas in the xyz co-ordinate analysis of the calculus only the linear is analyzable and the angular resultants , are usually irrationally expressed.

361

362Substituting the word tetrahedron for the number 2 completes my long attempt to convert all the residual heretofore unidentifiable integers of topology into geometrical conceptability.

363 156 I

364 i !

365

366By the omnidirectional star-studded Halo reasoning the development of a conceptual tetrahedron automatically charges a negative yet invisible tetrahedron into the nonsimultaneous, nonconceptual finite universe, comprehensive to the local de-finite conceptual system.

367This discovery that all the differences between de-finite conceptual systems and finite, yet nonconceptual total universe seems to provide a fundamental means of identifying the physical phenomena entropy. Entropy no longer means inherent escape of energy from any local system or decrease of local order or increase to disorder. Entropy now means the invisible extraction from any local definitive system of the negative conceptual entity, i.e., one negative tetrahedron deposited into universe balance of energy conservation permitting the local extraction of any visible orderly conceptual system. Entropy is not random; it is always one negative tetrahedron. It may have a wide variety of relative size (frequency) dimensions. A tetrahedron is 720ř and is an angular constancy independent of size. It is finite. It can account finitely for any discreet rate of energy loss.

368In resume: By our systematic accounting of angularly definable concave-convex local systems we discover that the sum of the angles around each of every local system’s geodesically interrelated vertices is always two vertexial unities less than universal nondefined finite totality. We call this discovery the law of finite universe conservation. Therefore, mathematically speaking, all defined conceptioning always equalsfinite universe minus two. The indefinable quality of finite universe-inscrutability is exactly accountable as two.

369 Ergo, finite-definite = 2 De (Di) = 2
de-finite-finite = -2 (di) de = -2

370

371

372 This is a subtractive 2---not a devisive 2, which latter occurs as the second derivative stage of systematic zonal differentiation into the fundamentally positive and negative yet disparate and inseparable aspect characteristics of concavity and convexity.

373 The finiteness of universe is thus finitely proven by comprehensive geometrical system topological accounting. We have, therefore, a comprehensive universal synergetic accounting advantage in respect to all systematic experience considerations both physical and metaphysical.

374 The first synergetic accounting advantage of known man-history derived from the two-millenium-old discovery of the invariant sum (180ř) of the angles of the obverse face of any plane linear bound triangle. The second major synergetical advantage accrued to Newton’s inverse ratio law of gravity as a comprehensive astronomical accounting system. The third major synergetical accounting advantage was derived one hundred years ago from Euler’s topological discovery that the numbers of vertices of polyhedra plus the number of their faces always equalled the sum of the number of the polyhedra’s edges plus the number two.

375 The fourth major synergetical accounting advantage accrued a half century ago to the physicists’ hypotheses of the law of conservation of energy which held that energy had shown experimentally that it could be neither created nor destroyed. From this assumption, which threw all scientific and nonscientific considerations, other than the energetically physical, into the then seemingly indeterminate realm of metaphysical, came the successive wave-quanta accounting theory and subsequent fission and successful nuclear components discovery and inventorying. Fifthly, Willard Gibbs’ phase

376 rule in a formula similar to Euler’s in which the degrees of freedom are in effect the vectorial edges brought synergetic advantages to chemical strategy. Sixthly, the same synergetic accounting advantage is now extended by our law of nonsimultaneous finite universe pattern conservation to embrace definitive consideration of any and all experiences, physical or metaphysical. The latter strategically equatable accounting advantage derives from a corrolary of synergy which shows that systematic accounting of the behavior of whole aggregates may disclose discreetly predictable angle and frequency magnitudes required of some unknown components in respect to certain known component behaviors of the total and known synergetic aggregate. Therefore, the definitive identification permitted by the law of finite universe conservation may implement conscious synergetic definition strategies with incisive prediction effectiveness, possibly of epoch initiating magnitude.

377 We inaugurate exploration with our theorem of omniuniverse tetrahedronal structuring. Whereas Van’t Hoff showed that all inorganic chemical structuring is tetrahedronally configured in vertexial linkage and Pauling’s X-ray diffraction analyses show omnitetrahedronal configuration interlinkages of gravitational centers of compounded atoms in all metals analyzed our omnitetrahedronal structuring as a triple bonded linear tetrahedronal array may coincide with the DNd helix, and the tetra’s four unique quanta corners may explainDNA’s dichotomy transferred T,A; G,C patterning control of all biological species reproductions.

378 A trial balance reconsideration and interconsideration of the significance accruing to the inherent order of consciously permitted cognitions thus far inventoried as derived from our epistemological premise that universe is the aggregate of con- 161

379 sciously observed and communicated experiences discloses an orderly succession of derivative dichotomies and synergetic surprises accruing to the grand operational review of derivative patterns.

380 First, we recognize that intellect took the measure of definitive energy universe because Einstein as intellect wrote E = MC^l. And we recognize the inherent irreversibility of that definitive capability because the concept of energy defining intellect is unthinkable. The de-fining of finite universe is a function of intellect synergetically manifest in universe. Subsequent to Einstein’s intellect’s definition of energy universe in two conceptual functions M and C² his definitive physical realm hypothesis of universe was proven valid by fission. With fission came empirical validation of Einstein’s theretofore hypothetical equation as now energetically definitive. Because the difference between definite and finite universe is definitively two, it follows that the difference between the physical portion of universe and total universe is definitive two. Whereas all metaphysical phenomena were shuntingly disposed by the Einsteinian physicists into a then supposedly infinite universe’s ephemeralization; it now comes as a surprise result of our finite-universe hypotheses that the metaphysical is as strictly definitive as the physical. Ergo the definite physical portion of universe plus the metaphysical or nondefinitive portion of universe together equal total finite universe and the metaphysical must therefore equal a nondefinitive but finite twoness.

381 The metaphysical which is now also contained within the comprehensive finiteness of universe is greater by two in its comprehensive magnitude than the physical portion of universe which lies inherently within the micro---macro meta- 162

382 physical. And as the metaphysical embraces intellection, we may say that the nonsimultaneous all-knowledge (omniscience, or wisdom) gained by all men out of all-experience (universe) is comprehensive by a discreet margin of two to all-energy (omnipotence) whose measure omniscience took. Omniscience is greater than omnipotence and the difference is two. Omnipotence plus two equals omniscience. META = 2.

383 Intellections are cumulative pattern apprehensions and are synergetically integrative as wisdom and wisdom initiates new mathematical hypotheses. Mathematics implements man’s calculation within minutes regarding energy actions requiring eons of time. Man’s intellect masters energy’s fastest behaviors. Energy light years are calculated in intellect seconds. Omniscience is evidently of comprehensively transcendental alacrity to the speed of light whose relatively slow articulations in universe are readily anticipated by intellectually initiated and disciplined computation of mind.

384 There is a question-asking-possibility that omniscience may be transcendental in velocity to the definitive physical speed of energy omnipotence. The synergetic anticipatory capabilities of intellect (in respect to conceptual formulations of evolutionary transforming potentials of universe and the anticipatory strategems evolved by intellect to test such hypotheses) imply the possibility of a velocity transcendence of omniscient functioning over omnipotence functioning which could mean an intellectually regenerated evolutionary extension of universe in generalized synergetical integrity. Intellect’s comprehensive anticipatory objectivities indicates a speed of functioning transcendental to physical events. Intellect may be ‘‘creating’’ finitely extending and re-fining universe as it asks each next good question.