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The subquark superstring meaning of the holistic parameter 90

The ten whorls of the UPA discussed here are closed, non-intersecting curves in the 10-dimensional space-time predicted by superstring theory. They are symbolized by the 10 yods of the tetractys (Fig. 22). A point on each curve is located by nine spatial coordinates, i.e., nine numbers. Therefore, (10×9=90) numbers define points on the 10 whorls. Including the time coordinate, a set of 91 space-time variables characterizes the UPA as the subquark state of the E8×E8 heterotic superstring. The time cooordinate corresponds to the black yod in Figure 19 at the centre of the 2nd-order tetractys, and the 90 spatial coordinates correspond to both the 90 yods surrounding this centre and the sum of the 10 integers in the Lambda Tetractys.

10 dimensions as tetractys

UPA as tetractys

Figure 22. The tetractys symbolizes both the 10 dimensions of superstring space-time and the 10 whorls of the subquark state of the heterotic superstring.

Figure 22 shows how both 10-dimensional space-time and the 10-fold UPA conform to the tetractys as the template of holistic systems. In terms of its correspondence to the Tree of Life (see here), the hexagonal yod at the centre of the tetractys symbolizes Malkuth, the last Sephirah of the Tree of Life, which is the outer, physical form of any manifestation of this cosmic blueprint. In the subatomic world, the latter is the subquark state of the E8×E8 heterotic superstring. As the microscopic Tree of Life, this particle is itself 10-fold, each closed curve expressing a Sephirah, with the three thick curves ("major whorls") formally corresponding to the Supernal Triad and to the three large-scale dimensions and the seven thinner ones ("minor whorls") corresponding to the seven Sephiroth of Construction. The lowest curve formally corresponds to Malkuth and to the dimension of time and the six thinner curves above it correspond to the six Sephiroth of Construction above Malkuth and to the six curled-up, or "compactified," dimensions. The number of spatial coordinates locating points on the major whorls and the lowest curve = 4×9 = 36. The number of coordinates locating points on the six curves that correspond to Sephiroth of Construction above Malkuth = 6×9 = 54. Hence, the archetypal 36:54 pattern of the Lambda Tetractys manifests in the superstring as the distinction between the four whorls formally corresponding to large-scale, 4-dimensional space-time and the six whorls corresponding to the microscopic, 6-dimensional space. In fact, this distinction is what makes the major whorls display a 1-in-175 augmentation in its successive orders of spirillae, whereby in a minor whorl 25 spirillae of any given order are compounded from 175 spirillae of the next higher order, whereas in a major whorl they are compounded from 176 spirillae, i.e., one extra spirilla (see here). The Tree of Life explanation of this augmentation is given here. (3×9=27) coordinates define the position of points on the three major whorls. This is the counterpart of the number 27 at the bottom right-hand corner of the Lambda Tetractys. Nine coordinates (the longitudinal coordinate and eight transverse coordinates) define the position of a point on the lowest minor whorl. This corresponds to the numbers 1 and 8 at the two other corners of the Lambda Tetractys. The number 6 at its centre denotes the number of longitudinal coordinates of points on the six minor whorls corresponding to the six higher Sephiroth of Construction. The sum 48 of the six numbers at the corners of a hexagon corresponds to the (6×8=48) transverse coordinates of these minor whorls.

The Lambda Tetractys nature of the UPA as a subquark state of the E8×E8 heterotic superstring is summarized below:

Lambda Tetractys

Subquark E8×E8 heterotic superstring (UPA)

Sum of 10 integers = 90. (10×9=90) coordinates of points on the 10 whorls.
Sum of integers at corners = 36. (4×9=36) coordinates of points on the 3 major whorls and on the last minor whorl.
36 = 1 + 8 + 27. One longitudinal coordinate & 8 transverse coordinates of a point on the lowest whorl;
27 coordinates of points on the 3 major whorls.
Integer at centre = 6. 6 longitudinal coordinates of points on the 6 uppermost minor whorls.
Sum of integers at corners of hexagon = 48. (6×8=48) transverse coordinates of points on the 6 uppermost minor whorls.

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