While a singular geometric point has an infinite internal structure, how can a “single” space-time sheet arise from those infinite possibilities? Why are these series of SSBs producing only “one” certain pathway? There are only three generations of quarks, absolutely not 4 nor 5. The quark color dimension is a Ternary charge, not Binary nor Unitary.

The fact is that the entire number line arises from one singular point, “0” (zero).

i. zero (1) = 1/countable infinity

ii. zero (2) = 1/uncountable infinity

How can the finite number arise from the two equations above? I will discuss this issue later. My question now is how the physical universe arose. The zero(s) are singular points. The infinities are unreachable in physics. How can the equations of zero(s) gave rise to the physical universe? That is, how can the infinities be concretized?

If we can find a known concrete object which encompasses the infinity, then that infinity is concretized into that concrete object.

As we know that trisecting an angle, in general, is impossible in the Euclidean geometry. Of course, it cannot be done in Euclidean geometry as the trisecting an angle takes a countable infinite steps because of the following equation.

1/3 = 1/2 - 1/4 + 1/8 - 1/16 + 1/32 - 1/64 + 1/128 - 1/256 + 1/512 - 1/1024 + 1/2048 -... +...

= .33349 - ... + ... = .3333333333333.....

= .33349 - ... + ... = .3333333333333.....

Yet, a trisected angle is a concrete object. Thus, the “countable infinity” manifests into a concrete object as a trisected angle. Is it a happy coincidence that the quarks carry a 1/3 or 2/3 unit of electric charge?

Can uncountable infinity manifest into a concrete object? Of course, it must, for the rising of a physical universe from a singular point (zeros).

In 1/3 = .3333333….., it has countable digits. Yet, for the number pi (3.14159…), it has uncountable digits as it is a “normal” number.

pi / 4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - ... + ... (with "countable" infinite steps)

That is, pi (having uncountable digits) is reached with the above equation. Yet, there is a concrete object (a circle) which always associates with the number pi. Thus, the uncountable infinity manifests as a circle which is a concrete object.

Now, I have showed that the two equations of zeros are giving rise to two concrete objects. Yet, how can these two concrete objects give rise to a physical universe?

Tienzen (Jeh-Tween) Gong

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