{"id":2234,"date":"2023-01-16T06:46:53","date_gmt":"2023-01-16T06:46:53","guid":{"rendered":"https:\/\/kyonissho.com\/kyos-blog\/?p=2234"},"modified":"2024-05-30T04:33:11","modified_gmt":"2024-05-30T04:33:11","slug":"ive-planned-300-hours-for-the-detail-of-wiles-proof-of-fermats-last-theorem","status":"publish","type":"post","link":"https:\/\/kyonissho.com\/kyos-blog\/blog\/2023\/01\/16\/ive-planned-300-hours-for-the-detail-of-wiles-proof-of-fermats-last-theorem\/","title":{"rendered":"I\u2019ve planned 300 hours for the details of Wiles\u2019 Proof of Fermat\u2019s Last Theorem."},"content":{"rendered":"\n
\"\"
fig.1.<\/figcaption><\/figure>\n\n\n\n

I bought another one for backup.<\/p>\n\n\n\n

\"\"
fig.2.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.3. the antecedent \u2192Taniyama-Shimura conjecture. \uff08fig.3: \u6709\u9650\u306e\u4e2d\u306e\u7121\u9650 by \u897f\u6765\u8def\u6587\u90ce \u6e05\u6c34\u5065\u4e00)<\/figcaption><\/figure>\n\n\n\n
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fig.4.0. Conversion between e^i\u03b8 and l^p onto 0 for consideration of unsolved \u03b1, and l^p on Fourier transform.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.4.1. an image as for an assumption.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.5.0.<\/figcaption><\/figure>\n\n\n\n

note:
(1)~(11) for a time machine,<\/p>\n\n\n\n

three of the requirements:
(1) { , , } as the coordinates \u2190 generation energy.
(2) {0, 1} \u2190 any prime number.
(3) the 0s of imaginary time changes the locations at the observation and the practice, because the real numbers are given to the imaginary time fields.<\/p>\n\n\n\n

the conditions:
(4) the generation energy exists in the objective side, i.e. we don\u2019t need send any energy to restore.
(5) there are the different phases of time, of + and – direction, already.
(6) as how a structure is, (4) and (5) can be applied the existence including the thinking of in quantum reaction exists in the quantum leaps.
(7) (6)\u2019s yet unknown structure can be figured out in the inner\/outer reflexives of the first scheme method, of the perfect language, especially when these structures are in our galaxy scale or beyond.<\/p>\n\n\n\n

the links:
(8) Tachyon, an imaginary number field as super light speed.
https:\/\/kyonissho.com\/kyos-blog\/blog\/2023\/03\/22\/tachyon-an-imaginary-number-field-as-super-light-speed\/<\/a>
(9) Studying Quantum Biology
https:\/\/kyonissho.com\/kyos-blog\/blog\/2022\/01\/05\/studying-quantum-biology-4\/<\/a>
(10) The zero of life\/existence dimension of any reason concept
https:\/\/kyonissho.com\/kyos-blog\/blog\/2021\/07\/15\/the-zero-of-life-existence-dimension-of-any-reason-concept\/<\/a><\/p>\n\n\n\n

(11) a way of thinking of a time machine;
e.g. when a generation energy is applied (fig.5.0.3a and fig.5.0.3b) to where a causality (e.g. thinking ability) arises (fig.5.0.1) as the suitable reproduction (fig.5.0.2b when the generation energy (green lines) was selected; fig.5.0.2a) via imaginary time in + or – direction, the sent causality will be restored there in existence.<\/p>\n\n\n\n

And (12), great progress, news:<\/p>\n\n\n\n

Article:
Time Is on My Sides: Researchers Show Double-Slit Experiment Also Applies to Time<\/p>\n\n\n\n

Quotation:
\u201dThe results seem to have mind-blowing practical implications, too \u2014 especially appreciate how the scientists drape \u201ctime reversal\u201d in the middle of the list below. \u2026\u201d<\/p>\n\n\n\n

URL:
https:\/\/thequantuminsider.com\/2023\/04\/04\/time-is-on-my-sides-researchers-show-double-slit-experiment-also-applies-to-time\/<\/a><\/p>\n\n\n\n

\"\"
fig.5.0.1. fig.16.3 of Studying Quantum Biology.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.5.0.2a. fig.3.1. the generation energy path \u2192 life; against entropy, of Tachyon, an imaginary number field as super light speed.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.5.0.2b. when the generation energy distribution ((b) of green generation energy\u2019s lines reaching the object\u2019s blue axes) was selected.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.5.0.3a. fig.15.1 of Studying Quantum Biology.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.5.0.3b. fig.15.2 of Studying Quantum Biology.<\/figcaption><\/figure>\n\n\n\n

Link:
Studying Quantum Biology
Studying Quantum Biology \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

Now I truly believe that God as all flooding energy exists in the entire universe, neither only on Earth, nor only in the Solar System, nor only in our Galaxy.<\/p>\n\n\n\n

\"\"
fig.5.1.<\/figcaption><\/figure>\n\n\n\n

I\u2019ll study next with Halmos in fig.5.1 not for Wiles\u2019 this great book but for my approach.<\/p>\n\n\n\n

\"\"
fig.5.2. for \u2192 fig.4.1.<\/figcaption><\/figure>\n\n\n\n

When (x^d + y^d \u2260 z^d)\u2019s d \u2192 \u221e, it means \u221e + \u221e \u2260 \u221e, I\u2019ll study this with below book, mathematics of infinity.<\/p>\n\n\n\n

\"\"
fig.6.<\/figcaption><\/figure>\n\n\n\n

I didn\u2019t read this book itself, but I learned Cantor\u2019s approach handles infinity (\u221e) as \u05d0 (aleph), and realizes mathematics of infinities.<\/p>\n\n\n\n

\"\"
fig.7.<\/figcaption><\/figure>\n\n\n\n

One of the three major books of Minkowski.<\/p>\n\n\n\n

I received this book today. I think the mathematics of imaginary time, that Minkowski had realized, is described in this book.<\/p>\n\n\n\n

Minkowski was Einstein\u2019s teacher.<\/p>\n\n\n\n

\"\"
fig.8.0.<\/figcaption><\/figure>\n\n\n\n

When (C \u2192 H) \u2192 0, then imaginary number \u2192 \u221e, the addition theorem unavailable there, and this is the half thing, while 0s of the imaginary time makes at least, two isometric spaces be one, Borrel conversion inflates from there, generation energy arises beyond time *a.
An imaginary number field is required to observe there.<\/p>\n\n\n\n

*a:
+ and – of all amount are equal, based on projection to 0 is ubiquitous.
If you think projection to n, to think projection to imaginary 0 is better.<\/p>\n\n\n\n

\"\"
fig.8.1. ; generation energy (Genesis energy).<\/figcaption><\/figure>\n\n\n\n

There are many cases of fig.8.1, e.g. fig.8.2.<\/p>\n\n\n\n

\"\"
fig.8.2. an instance as F7 and F5 of Galois field.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.8.3. Galois\u2019 imaginary number \u22a5 0s<\/figcaption><\/figure>\n\n\n\n

F<\/strong>p \u220b n, T, \u2235 Galois field.
n \u2192 \u00acp, n \u2192 Galois\u2019 imaginary number, T, \u2235 any prime number \u2192 0 in the ring.<\/p>\n\n\n\n

Below, when \u03b1 \u2282 Galois\u2019 imaginary number, e.g. (3) means the distance (0 + 0 = 0) with (p – 1 + 1 = p = 0) is in distance 0, then Galois\u2019s imaginary number = null.<\/p>\n\n\n\n

\"\"
fig.8.4.<\/figcaption><\/figure>\n\n\n\n

In 0 time length by light speed,
(1) d \u2267 3: x^d + y^d = z^d + \u03b1
(2) d = 0: x^0 + y^0 = z^0 + \u03b1, \u2235 1 + 1 = 1 + \u03b1, \u03b1 = 1
(3) d =2: x^2 + y^2 = z^2, d = 1: x^1 + y^1 = z^1
In dimension 0, 1 of step to n in Galois field is suitable (2)\u2018s \u03b1 = 1 | \u03b1 is extra-dimension.
Isometric phenomenon in the 0 without \u03b1 of extra-dimension is possible only in (3), and we almost analyze phenomena with the inverse square law, 1\/(f^2) | f is function.<\/p>\n\n\n\n

And above, Galois field is suitable to spin.<\/p>\n\n\n\n

\"\"
fig.8.5. Fp | p \u220b n, n = {0, 1, 2, \u2026 , p-1}<\/figcaption><\/figure>\n\n\n\n

When (Galois\u2019s imaginary number \u03b1) \u2283 (all n\\0), F3 = F5 = F7 in fig.8.5.<\/p>\n\n\n\n

\"\"
fig.8.6. compare {x2, x1}f^l_set with {1, 2, 3, 4, 5, 6}F7_set, {1}Fp_set, {0}Fp_set.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.8.7. abc conjecture and F2. complement arising; past or\/and future spins (or\/and in plural).<\/figcaption><\/figure>\n\n\n\n

I\u2019ve shown interval -> m with a geometric spin figure, the expression becomes simple, especially F2 is very special and important to discover.
Although, if you need an algebraic expression, it is \u2026
when c is a combined number, Fc has a Galois\u2019 imaginary number. If p – 1 = a and p – 1 + 1 = b, and a and b are evaluated as same rank, although (p – 1)\u2019s next is p. But p – 1 + 1 isn\u2019t c, c is a combined number. If a is calculated as p – 1, then b can\u2019t decide number, but b\u2019s next is 0. Or if b is calculated as p – 1, a can\u2019t decide number, but a is regarded as having a same complement of {0, 10, 100, \u2026 , \u221e} with b.<\/p>\n\n\n\n

\"\"
fig.8.8a. e.g. F14 and F2.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.8.8b. cf. F4 and F2, here (\u03b2 : \u03b2) = (1 : 1). ref. \u6709\u9650\u306e\u4e2d\u306e\u7121\u9650 \u897f\u6765\u8def\u6587\u90ce\u6e05\u6c34\u5065\u4e00<\/figcaption><\/figure>\n\n\n\n

Or e.g. 655373 and 655379 are prime numbers, if F655378 of combined number is considered, [0, 0]interval is [655378 – 655373] = 5, 5 is a prime number, and m is -5. See fig.8.9.<\/p>\n\n\n\n

\"\"
fig.8.9a. generated by \u7d20\u6570\u30c1\u30a7\u30c3\u30ab (Prime Number Checker) for iPhone.<\/figcaption><\/figure>\n\n\n\n

E.g. 71290143685248119147 is a prime number. A big number but 0 in Fp, in [0, 10, 100, \u2026 , \u221e]complement. If the spin has a combined number, there is another 0 in the same spin, some \u03b1x and \u03b2y are not fixed (* here, x and y are subscripts), but exist in m of [0, 0]interval in the spin. 71290143685248119147170 is the next prime number, but [0, 0]interval \u2192 m, and only F2 is an even prime number including Galois\u2019 imaginary number, spinning.<\/p>\n\n\n\n

\"\"
fig.8.9b. generated by \u7d20\u6570\u30c1\u30a7\u30c3\u30ab (Prime Number Checker) for iPhone.<\/figcaption><\/figure>\n\n\n\n

And reading the Wiles\u2019 proof different, below as \u03b1 = Galois\u2019 imaginary number, as imaginary number field is materializing spar-time\u2019s objects.<\/p>\n\n\n\n

Here, 0 by imaginary time \u2192 \u03b1, and {(E \u22a5 \u03b4p) \u2192 function} in fig.9 is a case of 0 cone to reproduce reality, because there is energy.<\/p>\n\n\n\n

\"\"
fig.9.<\/figcaption><\/figure>\n\n\n\n

Very beautiful space-time is observed, the generation energy is seemingly making all creation appears as we are imagining of the world now, and we will travel toward more unknown.<\/p>\n\n\n\n

The quantum mechanics is mainly described with Hilbert space. Only any short range quantum field can be described with Hilbert space, we need to describe any large scale quantum field. I\u2019m trying it with the generation energy (Genesis energy).<\/p>\n\n\n\n

\"\"
fig.10.0. over ((quadrangular number) \u2192 (+\u03b1 = \u00ac0)).<\/figcaption><\/figure>\n\n\n\n

fig.10.0:
Fermat\u2019s conjecture, and Pythagorean theory\\{\u00ac0; figurate number}set.<\/p>\n\n\n\n

\"\"
fig.10.1. for ellipse, triangle, f(x\/(l^2)) in galaxy\/universe. ref. ellipse, Wikipedia.<\/figcaption><\/figure>\n\n\n\n

fig.10.1:
(1) Johannes Kepler (1571~1630) discovered the orbits in our solar system are elliptic curve.
(2) Pierre de Fermat (1601~1665).
(3) f(x\/(l^2))\\{\u00ac0; figurate number}set.<\/p>\n\n\n\n

\"\"
fig.10.2.<\/figcaption><\/figure>\n\n\n\n

fig.10.2\u2019s \u03b1 is from n^d\u2019s inner product.<\/p>\n\n\n\n

If (a^d + b^d)^(1\/d) = (z^d)^(1\/d) is a norm to a side of projection to the isometric space.
The cases are (the right side : the left side), to consider
(1) rational number : rational number
(2) irrational number : rational number
(3) rational number : irrational number
(4) irrational number : irrational number
E.g. x = y = 2,
if (x^d + y^d)^(1\/d) = (2x^d)^(1\/d) = (z^d)^(1\/d), (x^(d+1))^(1\/d) = (z^d)^(1\/d),
x^((d+1)\/d) \u2260 z^1, d=1 \u2192 x^2 is in the inverse square space, but (2) or (4) of F.
E.g. x = y \u2260 2,
if (x^d + y^d)^(1\/d) = (2x^d)^(1\/d) = (z^d)^(1\/d),
2^(1\/d) \u00d7 x^1 = 2^(1\/d) \u00d7 y^1 \u2260 z^1 in an isometric space, {2^(1\/d) \u2192 \u03b2 | \u03b2 \u2208 \u03b1}, (2) or (4) of F.<\/p>\n\n\n\n

\"\"
fig.10.3. (a^d + b^d + \u03b2)^(1\/d) \u2192 norm, of fig.10.2. ref. Norm of Wikipedia.<\/figcaption><\/figure>\n\n\n\n

fig.10.3\u2019s \u03b2 is from all area \u03b1.<\/p>\n\n\n\n

\"\"
fig.10.4. figurate number, of fig.10.0. ref. Figurate number of Wikipedia.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.10.5. e.g., of fig.10.4, the orange is P3(n): y(y+1)(y+2)\/6=mod(x,3), the purple is P4(n): y(y+1)(y+2)(y+3)\/24=mod(x,4). this graph has been generated by Quick Graph+.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.10.6. in order to observe the projection, P4(n) has been put on y-axis. e.g. the light-green is x=3 and y=3, lighter-green is x=4.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.10.7. fig.10.6 has been converted only of Galois field. see fig.10.2 again.<\/figcaption><\/figure>\n\n\n\n

The world is not just as we see with our eyes.<\/p>\n\n\n\n

By the way,<\/p>\n\n\n\n

Hitler used Enigma to generate the cypher for the blitz\u2019s tactics. Enigma\u2019s base was Galois field.
USA realized ENIAC, UK realized Turing machine, in order to break Enigma. And Enigma\u2019s code generating was broken with the speed.
ENIAC and Turing machine were the first computers, but destroyed after the WWII. I think if ENIAC or Turing machine were used to generate cyphers, nobody broke it then.<\/p>\n\n\n\n

I could read some little stories of ENIAC. It might make a matrix with F<\/strong>2 and F<\/strong>5 of Galois field, 2 \u00d7 5 = 10 of the Enigma\u2019s decimal. And if a present expression is used, it was a dual core processing.<\/p>\n\n\n\n

\u201cThe Imitation Game\u201d is a movie of Turing, Turing machine, and the team.<\/p>\n\n\n\n

\"\"
fig.10.8. \u03c8n \u2192 | |difference (\u00ac0); space \u2192 spin (y2 \u2192 y1).<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.10.9. as the norm through a figurate number, \u03c8^d\\projection doesn’t exist in the (x^d + y^d).<\/figcaption><\/figure>\n\n\n\n

Any variable^d, the variable makes isometric space because of ^d, ln^1 is the norm.<\/p>\n\n\n\n

\"\"
fig.10.10.<\/figcaption><\/figure>\n\n\n\n

See also fig.10.0.<\/p>\n\n\n\n

\"\"
fig.10.11a.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.10.11b.<\/figcaption><\/figure>\n\n\n\n

fig.10.11a right:
I’ve drawn each \u03c8 in Galois field.
[0, 1<\/mark>0, 1<\/mark>00, … , \u221e<\/mark>]’s green<\/mark> means complement.<\/p>\n\n\n\n

See also fig.10.8.<\/p>\n\n\n\n

\"\"
fig.10.12.<\/figcaption><\/figure>\n\n\n\n

In order to think {r1 \u21d4 r2 | r1, r2 \u2208 rn} projection,
if the figurate number is 3, the three \u22a5s (orthogonals) of norm are required.<\/p>\n\n\n\n

As F<\/strong>2 to consider the inverse-square law, where the Pythagorean theorem has been proved, and except ^1\/2 space, see fig.8.7 and fig.8.4.
Then \u22a5 = \u03c0\/2, but any space of combined \u22a5s\\(\u03c0\/2) is fig.10.11 (the right side).
Galois’ imaginary number is required.<\/p>\n\n\n\n

I’ve described this article with my 50 hours study until now.
The norms for any {rn \u21d4 rm | rn, rm \u2208 r} projection from any figurate number, and any space of combined \u22a5s\\(\u03c0\/2).<\/p>\n\n\n\n

I’ll use another 250 hours for Wiles\u2019 Proof of Fermat\u2019s Last Theorem, but the pace will become slowly. Because I begin to study the Minkowski space and the naive set theory in order to describe the generation energy (Genesis energy).<\/p>\n\n\n\n

Link for the generation energy (Genesis energy):
Studying Quantum Biology
Studying Quantum Biology \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

\"\"
fig.11.0. and see fig.10.10 again.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.11.1.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.11.2.<\/figcaption><\/figure>\n\n\n\n

Reached.<\/p>\n\n\n\n

\"\"
fig.11.3.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.11.4.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.12.0. next page of fig.2.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.12.1. ref. Ring and Field 3 by Toshiyuki Tanizaki.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.12.2. ref. Ring and Field 3 by Toshiyuki Tanizaki.<\/figcaption><\/figure>\n\n\n\n

fig.12.0~12.2:
as reverse mathematics for any existence beyond Hilbert space:
(0 + alpha : 0) = ((0, i0) -> (0 : 0))
((alpha = 0 or \uffe20) -> Fp) if \u03c8n -> Gal(Q-closure\/Q),
a ring is achieved -> the space exists.
I’ve alreaday shown\u00a0F<\/strong>\u00f7p (\u00f7 ring of\u00a0F<\/strong>p),
– and \u00f7 are required to converge to material or energy,
then the reverse mathematics becomes possible.<\/p>\n\n\n\n

Link:
Continuing to Study also on March 26th 2024, Hebrew Bible and -Gravity.
https:\/\/kyonissho.com\/kyos-blog\/blog\/2024\/03\/26\/continuing-to-study-march-26th-2024-hebrew-bible-and-gravity\/<\/a><\/p>\n\n\n\n

(C) Copyright 2023 Kyo Nissho (Kiyom Nishio). All rights reserved.<\/p>\n","protected":false},"excerpt":{"rendered":"

I bought another one for backup. note:(1)~(11) for a time machine, three of the requirements:(1) { , , } as the coordinates \u2190 generation energy.(2) {0, 1} \u2190 any prime number.(3) the 0s of imaginary time changes the locations at the observation and the practice, because the real numbers are given to the imaginary time […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","om_disable_all_campaigns":false,"pagelayer_contact_templates":[],"_pagelayer_content":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[4,5],"tags":[],"class_list":["post-2234","post","type-post","status-publish","format-standard","hentry","category-record","category-study"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/2234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/comments?post=2234"}],"version-history":[{"count":5,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/2234\/revisions"}],"predecessor-version":[{"id":6171,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/2234\/revisions\/6171"}],"wp:attachment":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/media?parent=2234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/categories?post=2234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/tags?post=2234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}