From no.3208, Eternal-Life and Coherent Life for Time Machine.

The conversation of President Xi of China and President Putin was reported about eternal life.

I considered possibility of eternal life with [i0, [0, 0]], I believe it is possible. But I don't describe it, because

(a) new DNA is born to respond new survival of humankind. If a selected life will live forever, the life will not be suitable to survival of humankind, and if he will be judged as not to be needed, how will be his life?

(b) Although if humankind will voyage toward open universe, his/her experience of long life will be powerful.

Therefore,

(c) when (b) → (a) is True, eternal life will mean civilization of Cosmos.

Link:

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

https://www.kiyomnishio.com/post/no-3105-ultra-light-speed-and-gravity

Fig.1.0.

Fig.1.0:

(1) φ is non-ordinal number, in case of non-ordinal → [0, 0]. c is the constant of photon velocity.

(2) tR is ordinal number, in case of ordinal → [0, 0]. τ is the constant representing time area of β (to past) and γ (to future).

(3) In case of (2), the time leap can't be beyond β and γ. If an aimed time leap exists in a linearly independent space T ∈ β and γ, life's linearly independent space K can't exist over β and γ, because of out of real existence to be reproduced.

(4) (3)'s time jump of photon in the range of β and γ was succeeded in UK (in 2023 as my remembrance).

(5) When time in the entire imaginary time is considered, life outside β and γ should be researched. The coherent life is (g)~(k) below.

(6) Eternal-life isn't time-jump, it is time-entropy = 0 or minus in the life. Not time-jump but time-entropy.

Fig.1.1.

Fig.1.2. Ref. "ヒルベルト空間と量子力学 by 新井朝雄"

Fig.1.2.:

Here I redefine as ψ - ψpr = φ = 0, 0 → any prime number of Galois field, and there is i0.

And I redefine as ψpr = ψ.

Then φ's non-ordinal number is in order of i0, ψ × φ can be converged by i0's order.

Cf. ψn × ψ - αn = 0 in fig.1, and x^d + y^d = z^d + α and Gal(closure_Q/Q) → ψ by Wile's proof of Fermat's last theorem.

Fig.2.0. Ref. Life on the Edge: The Coming of Age of Quantum Biology, written by Jim Al-Khalili and Johnjoe Mcfadden.

Fig.2.1.

Fig.2.2. I've been with confidence that the axiom [i0, [0, 0]] of imaginary number space is observed with quantum biology.

I considered another thing, it was Time Machine.

(d) Ultra-light speed is based on [0, 0] → function(S), S means Space here.

(e) Time Machine is based on [0, function(time)] → function(S), i.e. the space will be in past but his/her body will be present.

(f) if (e) will be able to be done outside β and γ, but a great galaxy level quake will occur because of the galaxy itself's reproduction for the decoherence (classical state of physics).

But, we remember that the quantum phenomena exist in coherent space *x and that the classical physics' phenomena exist in decoherent space *y.

*x: ψ of ordinal space and φ of non-ordinal space exist at same time.

*y: ψ of ordinal space and φ of non-ordinal space exist in separated probability.

Then

(g) Life of us exists in decoherent space.

(h) Only coherent life of us outside real body will be able to travel to past and to future *z.

(i) (h)'s coherent life will be seen like ghost or angel.

(j) (h)'s past and future will be observed like in noise.

(k) Also in both case of (i) and (j), we can contact with the age's other lives.

*z: Every person's life exists coherent probability at same time of life's time. Our coherent existence are existing with a scale over visible universe of bright stars, but the coherent life can't have an converged conscious which Jesus Christ has. In other words, Jesus Christ has coherent life over our visible universe with the converged conscious from Him.

September 7, 2025:

η (iita) from pure ∞,

I was seeking η projection and began to discover how to calculate η today.

Dark energy (pure energy) makes

[i0, [0, 0]] = {η}, η projection occurs into the [ ] of {[ ], present known energy}.

{R^d + α} → ψ, because of x^d + y^d ≠ z^d (d ≧ 3; no compatible two or more of isometric space-time at d ≧ 3) occurring in spins, {η projection, ψ projection} → any materialization, then

[ ⇦, η] → pure ∞ in spins.

When η restores part of pure ∞, {φ} is restored to ψ, the {ψ, {φ}, {η}}, cf. {μ, B, X} (see fig.3) of present quantum mechanics in order to discover the Hamiltonian functions, supports to realize

(l) the inclination 1 of ultra-light speed,

(2) -gravity reactor,

(3) coherent life, or eternal life restoration.

Note:

(4) in order to restore anything, ψ as measure from +gravity makes reverse mathematics be possible.

September 11, 2025:

(5) {φ} ⊂ {η}, ψ ← {reverse mathematics [to axiom] approaches}.

(6) {η} ⊂ {φ}, axiom ← unknown | η is given by axiom [i0, [0, 0]], φ is given by unknown.

(7) (5) and (6) mean {reverse mathematics ⇆ unknown} remains.

note:

Life distributes each nutrition to each part of body very accurately.

If time entropy reduction material is given to each nutrition to be planned from life, as the food, life distributes {+time_entropy, -time_entropy} = 0 or minus accurately in order of the life's nutrition distribution.

September 8, 2025:

Fig.3. L^2 space (Lebesgue ^2 space), X is a set but not empty set, B is Borel subset from X, μ is measure on (X, B). Ref. ヒルベルト空間と量子力学 by 新井朝雄.

Fig.4. L(D) is subspace of V (an infinite dimension of n linearly independent vectors) onto D (domain).  Ref. ヒルベルト空間と量子力学 by 新井朝雄.

Convergent vector in Hilbert space can be analyzed of the projections. Ordinarily, non-ordinal number makes divergent vector.

But now i0 has been found, non-ordinal φ is found in the convergence state to i0 onto F- (Latin square of Galois field), is in -gravity, and is possible to analyze. The large scale quantum physics has become possible, although Hilbert space is the quantum physics close to specified space.

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