Impossibilities and Possibilities
Illustration 1 shows in two dimensions a red circle in which two lines perpendicular to each other intersect at point B. The back of the red circle is seen to overlap a blue circle in which there are also two lines perpendicular to each other intersecting at A.
So perfectly does the red circle overlap the blue circle that, viewed from the front, every single line that forms part of each circle becomes one with that of the other. (See illustration 1).
The question, however, remains: “What would possibly happen if A and B were separated at a distance of, say, 1 cm from each other? Do we have the ability to separate them in such a way as illustrated in P, where both the vertical and the horizontal lines of one circle are perfectly parallel to those of the other? Though at a glance such separation of both circles may seem to be quite possible, the question, however, is, “To what extent?”. The truth is that we shall never, in any circumstance, be able to achieve perfect separation of both circles, not even to a degree of precision of 1 Angstrom and not even with the most sophisticated machine—let alone, manually. Even if they are separated less than 1 cm apart, say, 1 millimeter or 1 micron apart, none will still be able to achieve such perfection as meant above.
Not even if the degree of precision is lowered, as is shown in illustration 2, or illustration 3. In either of these illustrations what is required is only to see to it that the vertical lines and the horizontal lines stay parallel to each other, whereas points A and B can be anywhere in the vertical line or the horizontal line.
What would possibly happen could be something like what is depicted in illustrations 5, 6, 7, and 8. In addition, the vertical line of the red circle does not have to form rightward angles, like the ones shown in illustrations 5, 6, 7, and 8; the angles can also be leftwards—not illustrated here. Certainly not, when in a position where the blue circular plane stays parallel to the red circular plane as illustrated in P. The blue circular plane moves too and forms an angle with the red circular plane.
All these illustrations are meant to serve as explanations as to how the Cell-to-be has come to acquire such and such a position during its initial division. The conclusion here is that right from the time it first divides until the time it completely separates with a degree of precision of up to 1 Angstrom, it is just impossible for a Cell-to-be to split itself up perfectly, as far as its position is concerned.
Originally still in one Cell as is shown in illustration 1 and not liable to separate perfectly as is illustrated in P. This is indeed understandable, because if the separation had been perfect, none of the parts of body of the Cell would have been twisted as they are today.
The Cell-to-be is extremely minute to enable itself to be in the position as illustrated in P. It must position itself somewhere else, away from that as illustrated in P.
“Impossible” as it is said here, refers to the very fact that the possibility is extremely small; in fact, small enough for it to be ignored. If the zone of possibility represents a line more or less 0.01mm in length (a figure which is equivalent to less than half of the diameter of a medium-sized Cell), any attempt to achieve the possibility of point A moving along the horizontal line B by 1 Angstrom may result in the possibility of point A overlapping point B by 0.01:10,000,000 or 1:100,000. This is so because 1 mm = 10,000,000 Angstrom. Should the zone of possibility represent a plane 0.01 mm2 in size, the possibility of the two points overlapping each other will be 1:(100,000 x 100,000)= 1: 10,000,000,000 or 1010. Thus if the position of the zone of possibility is three-dimensional or in the form of space, the possibility then becomes 1: 1.000.000.000.000.000 or 1015. These figures concern only the positions of the vertical lines A and B and the horizontal lines, with A parallel to B in either case.
What if line A is not parallel to line B, both vertically and horizontally, while planes A and B are parallel to each other? The proportion of the possibility could reach more than 1,000,000 times 1015.
Now, what if both planes are not parallel to each other? What would happen could be something like what is illustrated in P: the proportion becomes very small. It needs to be emphasized here that the figures above are but only rough and simple calculations done only for the purpose of mapping these possibilities.
By reasons of these, it is therefore said that the possibility of A and B being perfectly positioned after their separation (as in illustration P) is “zero”. In other words, for A and B to achieve perfect position after they separate is just something “impossible”. It is all these too that make it impossible for both the split-up Cells to appear like what is shown in illustrations 1, 2, 3, and 4. On the other hand, what is more dominant is such movements as illustrated in 5, 6, 7, 8, which, as a result, causes more and more of the inner part of the Cells to be twisted.
1 mm = 1000 micron = 1.000.000 nm = 10.000.000 Angstrom.
10 micron = 10.000 nm = 100.000 Angstrom.