527.70 Primitive Dimensionality

527.701 In synergetics primitive means systemic conceptuality independent of size. (Compare Sec. 1033.60.)

527.702 Geometers and “schooled” people speak of length, breadth, and height as constituting a hierarchy of three independent dimensional states“one-dimensional,” “two-dimensional,” and “three-dimensional”which can be conjoined like building blocks. But length, breadth, and height simply do not exist independently of one another nor independently of all the inherent characteristics of all systems and of all systems’ inherent complex of interrelationships with Scenario Universe.

527.703 The educational authorities in the art and science of “plane” and “solid” geometry disregard the environmental otherness: They assume an infinitely extendible imaginary plane upon which they mark apart two infradimensional imaginary points A and B between which they can draw an imaginary shortest straight line whose “length” AB constitutes their academic mathematicians’ first-dimensional state. They then mark apart on the same infinite imaginary plane third and fourth points C and D, which are then linearly interconnected by another “straight” line CD in the same imaginary plane with, parallel to, and at an AB distance from, line AB, with a third line CA drawn in the same plane perpendicular to line/IB at A, and a fourth line Z)B in the same imaginary plane drawn perpendicular to line AB atB, whereby either of the lines CA or DB constitutes the “breadth,” which is the educators’ second-dimensional state. They then erect four /IB-long lines perpendicular to the first imaginary plane at points .4, B, C andL??>, respectively. They then draw the imaginary straight lines A B, BC, CD, and DA. With all this so-called construction which would collapse in the presence of gravitational realitythey have now attained their third-dimensional state of “height” above their two-dimensional square plane base. This assumedly produces three-dimensional reality, which by virtue of their constructional strategy suggests to them that reality is only cubically measurable or comprehensible.

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Fig. 527.703 Imaginary Three Dimensionality: Parallel and perpendicular construction strategies of “plane” and “solid” geometry assume that reality can be measured only in cubes.

527.704 There is also trouble with the word .fundamental. It means foundational when there are no foundations …no two-dimensional planar base. The Earth and other objects are co-orbiting the Sun at 60,000 miles per hour and are gravitationally tethered to one another. The word foundation implies an impossible standing-still-somewhere in Universe …on a solid and square or planar base.

527.705 We may use the word primitive only to describe the initial selfstarting conditions of awareness and think-about-ability of the minimum essential components of any evolutionary system’s divergent or convergent considerability. Thus the primitive conceptual angle as one myopically viewed corner of the 12 corners of the minimum system has greater meaning than the expression fundamental particle employed by the high-frequency research physicists. The statements of this paragraph are strictly within the concerns of epistemography.

527.706 Infinity is only a consequence of subdividing finity. Because synergetics has conceptuality independent of size, it permitsindeed, requires systemic conceptuality before the subdividing commences. There is no a priori size. There is no experimentally demonstrable systemic onedimensional line extending to infinity. Size commences only with subdivision, with frequency. Subdivision may be considered as potentially limitless, provided infinite time. But time is always a special case limited characteristic of special case time-size systems. Time is not generalizable. Generalized principles are all eternal. Eternal is not a whole lot of time. Eternal is independent of and devoid of time. Infinity is micro rather than macrohence the difficulty of research physicists in their search for the one last “building block” or fundamental particle.

527.706 The minimum family of inherent systemic omnicosmic interrelationships is inherently primitive and eternal. Primitive dimensionality is expressible only in terms of the interproportionality of the components of whole minimum systemsergo, in prefrequency primitive tetravolume proportionality and the latter’s primitive topological characteristics. There can be no partial systems. Systems can be divided multiplyingly only into whole systems.

527.707 There is a cosmic hierarchy of primitively symmetric systemic states of intertransformability or interassociabilities of prime polyhedra. (See Sec. 982.62.)