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No.3328. Goldbach's Conjecture, Naught to Existence.

  • kyonissho
  • Nov 30, 2025
  • 3 min read

Updated: 4 days ago

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Goldbach's conjecture


Fig.1.0.
Fig.1.0.
Fig.1.1.
Fig.1.1.
Fig.1.2.
Fig.1.2.

Fig.1.2:

F∞→[0, 0]: F+ → {0, 10, 100, ... , ∞+0} with complement.

(5) means {px + py} → any number of all even integral number.


Fig.2.0.
Fig.2.0.

Fig.2.0:

As ⬅ and ➡ means projection,

{0} ⬅ {l} is the present quantum physics | l ∈ linearly space

{0} ➡ {l} means the generation from nothing to linearly space (existence).

Briefly, we are watching how/why Genesis was/is possible, i.e. the fundamental part of beginning from nothing to Cosmos (existence). Naturally there should be [i0, [0, 0]] at same time.



Fig.2.1. See fig.2.0 again.
Fig.2.1. See fig.2.0 again.

Except between the [0, 0], all n = 0, i.e. {n} = {0} in the p^d (d ≧ 3) space.


Fig.2.2. In case of single F2 for p^d (d ≧ 3) to be projected to any nx\(F±3)^2 (see fig.1's note).
Fig.2.2. In case of single F2 for p^d (d ≧ 3) to be projected to any nx\(F±3)^2 (see fig.1's note).

Fig.2.2:

(F±3)^2 → F2+1, but {F1 → {±1 ∓ 1 from n1 and n2}} isn't yet proven above fig.2.2,

i.e. what [∞-1, 0] → {F2 and the ±1 with n1 and n2} is as

 0 1 0

 1 0 1

 0 1 0,

here F3 isn't Fcombined_number, but the structure of Galois imaginary number itself, ±1\F2 → any F2. It is what

Galois imaginary number → any l of space

is, the next theme is what any projection into Galois imaginary number field generates or terminates.


Fig.2.3a. See (2) for above.
Fig.2.3a. See (2) for above.
Fig.2.3b.
Fig.2.3b.
Fig.2.3c.
Fig.2.3c.

How the expanded F2's ⊥s in fig.2.3b's lower-left is applied to fig.2.3a is fig.2.3c.


Fig.2.3b's link:

No.3105. Ultra-Light Speed and -Gravity.


The science from nothing to existence opens our next path.


Fig.3 (fig.1.0b (fig.2.0.2)). ubiquitous number; {universality of F- : peculiarity of F+} derives original and makes {absolute : relative} <-> ubiquitous.
Fig.3 (fig.1.0b (fig.2.0.2)). ubiquitous number; {universality of F- : peculiarity of F+} derives original and makes {absolute : relative} <-> ubiquitous.

Fig.3:

No.3105. Ultra-Light Speed and -Gravity.

Cardinal number, ordinal number and inclination number exist in Galois field at same time.


Fig.4. Ref. "有限の中の無限" by 西来路文朗 and 清水健一
Fig.4. Ref. "有限の中の無限" by 西来路文朗 and 清水健一

Fig.4:

*a: also Fcombined_number becomes F∞ in F(∞-1),

(F∞_of_c)^d → {0} in mod(c). And

F2; F∞_of_c includes [0, 0] to another Fc-1.

*b: x^d + y^d ≠ z^d (d ≧ 3) into vector ψ, then ψ at

{0, 1, α, β} → n\(0, 0)coordinates takes different place

as ubiquitous number.


Here (d1, d2 ≧ 3) and (p1, p2 ∈ any prime number),

and p-1 is always combined number. Then

(F±p1)^d1 + (F±p2)^d2 in the Galois imaginary number is,

in this case, because the volumes don't change because of spin,

{0} + {0} = {0}.

And in case of F±3, the ^2 shows the different behavior, although the ^3 to be restored to ^1 is {0} of the element n.


Fig.5.0. See fig.2.2 again and compare for what exists.
Fig.5.0. See fig.2.2 again and compare for what exists.

When F0's {0} as the inclination 1 is set as the shared axis of two prime numbers in the imaginary number space, F2's {0, 1} responds to phenomena with changing the 0's and 1's scale in Euclidean space-time, ...


Fig.5.1.
Fig.5.1.
Fig.5.2.
Fig.5.2.
Fig.5.3. E.g. F±8 in order to understand fig.5.2's two [0, 0]s.
Fig.5.3. E.g. F±8 in order to understand fig.5.2's two [0, 0]s.

Fig.5.0 ~ 5.3:

All prime number is 0 in Galois field, then

(i) [0, 0] → any prime number, T,

(ii) [0, 0] → F2, T,

(iii) any even number → F2, T,

(iv) any n in the prime number is placed as n ∈ c-1 of Fc,

e.g. {0, 1, 2, 3, 4, 5, 6, 7} ∈ c = 8, then

{0, 1, 2, 0, 3, 4, 5, 6} or

{0, 1, 2, 3, 0, 4, 5, 6} as behaving F7

of {0, 4} ∈ {0, n}.

(v) [0 = p1, 0 = p2] → (F2 ∋ [0, 0]), T,

→ any odd number since F∞-1, T.

∴ any even number is divided with two prime numbers.


As above,

all odd prime numbers belong to {0} with F∞,

and all even numbers belong to the ∞-1,

n1 and n2 of all even numbers exist to each prime number.


Any prime number except 2 and 3,

the prime number - 1 = a combined number,

{0} is restored to another {F} of p from the ^3 through F2,

Fp becomes Fp1 and Fp2 through the combined number.


We must think [0, 0] of [i0, [0, 0]] → [p1, p2] in order to the large scale quantum physics for the leaps of space, time and life.

Therefore today I've tackled to the Goldbach's conjecture.


Fig.6.0. No.3327, a simulation for time leap.
Fig.6.0. No.3327, a simulation for time leap.
Fig.6.1. The pre-cognized inspiration of fig.1 ~ fig.2.1 on October 12, 2024.
Fig.6.1. The pre-cognized inspiration of fig.1 ~ fig.2.1 on October 12, 2024.

Let's go to open Universe beyond our Galaxy♪ ｄ(￣◇￣)ｂ



(C) Copyright 2025 Kiyom Nishio (Kyo Nissho). All rights reserved.


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