Osteo Myological Quantization. Note Quote.

The site of the parameters in a higher order space can also be quantized into segments, the limits of which can be no more decomposed. Such a limit may be nearly a rigid piece. In the animal body such quanta cannot but be bone pieces forming parts of the skeleton, whether lying internally as [endo]-skeleton or as almost rigid shell covering the body as external skeleton.

Note the partition of the body into three main segments: Head (cephalique), pectral (breast), caudal (tail), materializing the KH order limit M>= 3 or the KHK dimensional limit N>= 3. Notice also the quantization into more macroscopic segments such as of the abdominal part into several smaller segments beyond the KHK lower bound N=3. Lateral symmetry with a symmetry axis is remarkable. This is of course an indispensable consequence of the modified Zermelo conditions, which entails also locomotive appendages differentiating into legs for walking and wings for flying in the case of insects.


Two paragraphs of Kondo addressing the simple issues of what bones are, mammalian bi-lateral symmetry, the numbers of major body parts and their segmentation, the notion of the mathematical origins of wings, legs and arms. The dimensionality of eggs being zero, hence their need of warmth for progression to locomotion and the dimensionality of snakes being one, hence their mode of locomotion. A feature of the biological is their attention to detail, their use of line art to depict the various forms of living being – from birds to starfish to dinosaurs, the use of the full latin terminology and at all times the relationship of the various form of living being to the underlying higher order geometry and the mathematical notion of principle ideals. The human skeleton is treated as a hierarchical Kawaguchi tree with its characteristic three pronged form. The Riemannian arc length of the curve k(t) is given by the integral of the square root of a quadratic form in x’ with coefficients dependent in x’. This integrand is homogenous of the first order in x’. If we drop the quadratic property and retain the homogeneity, then we obtain the Finsler geometry. Kawaguchi geometry supposes that the integrand depends upon the higher derivatives x’’ up to the k-th derivative xk. The notation that Kondo uses is:



L Parameters N Dimensions M Derivatives

The lower part of the skeleton can be divided into three prongs, each starting from the centre as a single parametric Kawaguchi tree.

…the skeletal, muscular, gastrointestinal, circulation systems etc combine into a holo-parametric whole that can be more generally quantized, each quantum involving some osteological, neural, circulatory functions etc.

…thus globally the human body from head through trunk to limbs are quantized into a finite number of quanta.


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