In the article “The unreachable number
principle, http://tienzen.blogspot.com/2012/05/unreachable-number-principle.html
“, I wrote the following equation,

(A – B = 0, but A and B are different numbers)

With this equation, the entire mathematics
will be changed.

Again, in the article “Zero or zeros, http://tienzen.blogspot.com/2012/05/zero-or-zeros.html
“, I wrote, “In general, the validity of mathematics relies not on any
correspondence to a reality. ... Yet, this ‘Prequark Chromodynamics’ is
the direct consequence of the fact that zero (0) has a very rich internal
structure. That is, this new mathematics does have a
correspondence on the physical reality.”

Thus, although we can develop a new math by
making the above equation as a definition, we can actually prove the above equation
as it is a fact of the physical reality. The following is the proof.

Pi, the ratio of a circle's circumference to
its diameter.

Pi (N), the calculated Pi value to Nth digits
with the Turing computer.

Pi (C), the calculated Pi value after
countable infinite steps with the Turing computer.

D(N) = Pi – Pi(N)

D(C) = Pi – Pi (C) > 0

M1 = D(C)/2

M2 = M1/2

…

Mn = Mn-1/2

P(M1) = Pi(C) + M1 = Pi – M1

For P(M1)
< Y < Pi, Y is unreachable by all means (theoretically or else),
as P(M1) is the last known (reachable) number by a Turing computer.

P(M2) = Pi(C) + M1 + M2 = Pi – M2

For P(M2) < Z < Pi, Z is also unreachable by
all means.

In fact, the D(C) is the uncertainty in
numbers, similar to the h-bar in physics. Thus,

Z – Y = 0

is the direct consequence of this Mathematics
uncertainty principle, while Z and Y are two different numbers. That is, there
is very rich internal structure in zero (0). I have introduced the concept of “Colored
numbers” to accommodate this Mathematics uncertainty principle, and it is
available in the book “Super Unified Theory (ISBN
0-916713-02-4, Copyright # TX 1-323-231, Library of Congress Catalog Card
Number 84-90325)”,

Chapter 7 --- Colored numbers (page 53 – 61).

I will also discuss this in the future posts.

## No comments:

## Post a Comment