My discovery about mathematics

Naoto Meguro. Amateur.
MSC2010. Primary 03B10;Secondary 03B80.
Key Words and Phrases. The complex number theory, an axiom system.
The abstract. The complex number theory isn't consistent.

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The known complex number theory isn't consistent. Let's see it.

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Let X be an axiom system of the standard mathematics whose object domain is C. Set up that
X⊃{0≠1, ∀x(x0=0.}. Put P=∀x(x=1/(1/x)). 1/0∉C. But x=0 is a removal singular point of 1/(1/x)=x.
P is valid as an axiom of the complex number theory. Set up that P∈X. Let d be a free individual symbol.
X doesn't include d.
Theorem 1. X isn't consistent.
X |- ∀x(x=1/(1/x))→(d=1/(1/d)). X |- d=1/(1/d). X\- ∀x(1≠0=0x). X|- ∀x(1/x≠0)
X |- ∀x(1/x≠0)→(1/(1/d)≠0). X |- 1/(1/d)≠0. X |- d≠0. X doesn't include d. So X |-∀x(x≠0).
X |- 0≠0. X isn't consistent.♦
Theory of the field must treat the function symbol x/y and 1/0. 1/0 isn't an element of the field.
If you admit P, X is an axiom system of the theory of the field like R,Q and Z/pZ.
Theorem 2. The field C doesn't exist in the consistent mathematics.
Proof. If C exists, the standard model of X whose object domain is C exists. (d=0 etc..)
X is consistent then. This is contradiction by theorem 1.♦

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The theory treating C isn't consistent.
Physics isn't consistent too. Every phenomenon like the free energy is possible theoretically.