Saturday, 10 August 2024
Root of Language / 20 September 2014
20/09/2014 10:02
Root of Language
TANAKA Akio
The root of language is in the discreteness. All the information of language are generated from this simple structure which supposition is derived from Flux Conjecture, Lemma 1 and Lemma 2.
..............................................................................................................................................................
Floer Homology Language
TANAKA Akio
Note 8
Discreteness of Language
Flux Conjecture
(Lalonde-McDuff-Polterovich 1998)
Image of Flux homomorphism is discrete at H 1 ( M ; R ).
Lemma 1
Next two are equivalent.
(i) Flux conjecture is correct.
(ii) All the complete symplectic homeomorphism is C 1 topological closed at symplectic transformation group.
Lemma 2
Next two are equivalent.
(1) Flux conjecture is correct.
(ii) Diagonal set M M ×M is stable by the next definition.
Definition
L is stable at the next condition.
(i) There exist differential 1 form u 1 , u 2 over L that is sufficiently small.
(ii) When sup| u 1 |, sup| u 2 | is Lu 1 Lu 2 for u 1 , u 2 , there exists f that satisfies u 1 - u 2 = df .
Explanation
0
is de Rham cohomology class.
Symplectic manifold ( M, w )
Group's connected component of complete homeomorphism Ham ( M, w )
Flux isomorphism Flux: π 1 (Ham( M, w ) )→ R
Road of Ham ( M, w ) γ ( t )
δγ / δt = Xu ( t ) that is defined bu closed differential form U t over M
Explanation
1
Symplectic manifold M
n-dimensional submanifold L M
L that satisfies next condition is called special Lagrangian submanifold.
Ω's restriction to L is L 's volume.
2
M 's special Lagrangian submanifold L
Flat complex line bundle L
LAG sp ( M ) ( L, L )
3
Complex manifold M †
p M †
Sheaf over M † f p
f p ( U ) = C ( p U )
f p ( U ) = 0 ( p U )
4
Special Lagrangian fiber bundle π : M → N
Complementary dimension 2's submanifold S ( N ) N
π -1 ( p ) = L P
Pair ( L p , L p )
p N - S ( N )
L p Complex flat line bundle
All the pair ( L p , L p ) s is M 0 † .
5
(Geometric mirror symmetry conjecture Strominger-Yau-Zaslow 1996)
Mirror of M is diffeomorphic with compactification of M 0 † .
6
Pairs of Lagrangian submanifold of M and flat U(1) over the submanifold ( L 1 , L 1 ), ( L 2 , L 2 )
( L 1 , L 1 ) ( L 2 , L 2 ) means the next.
There exists complete symplectic homeomorphism that is ψ( L 2 ) = L 2
and
ψ * L 2 is isomorphic with L 1 .
Impression
Discreteness of language is possible by Flux conjecture 1998.
[References]
Quantization of Language / Floer Homology Language / Note 7 / June 24, 2009
For WITTGENSTEIN Ludwig / Position of Language / Tokyo December 10, 2005
To be continued
Tokyo July 19, 2009
Sekinan Research Field of Language
Back to sekinanlogoshome
................................................................................................................ Source:
Floer Homology Language / Note 8 / Discreteness of Language / 19 July 2009
Tokyo
20 September 2014
Sekinan Rearch Field of Language
Friday, 9 August 2024
Letter to WPM On Aurora Theory 1 December 2019 – 11 December 2019
Farewell to language universals. Letter to WPM. Along the ridges of the mountains. On Aurora Theory. 6th Edition. 11 December 2019
Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress.At this occasion, I will write some memories on Aurora … Continue readingFarewell to language universals. Letter to WPM. Along the ridges of the mountains. On Aurora Theory. 6th Edition. 11 December 2019Posted on December 11, 2019 by Sekinan ViewPosted in UncategorizedTagged Farewell to language universals. Letter to WPM. 6th Edition.Leave a commentEdit
Now remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019
Now remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019 Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora … Continue readingNow remembering Aurora Theory as the first language model. Letter to WPM. 5th Edition. 5 December 2019Posted on December 5, 2019 by Sekinan ViewPosted in UncategorizedLeave a commentEdit
Letter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019
Letter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019 Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 4th Edition 4 December 2019Posted on December 4, 2019 by Sekinan ViewPosted in UncategorizedLeave a commentEdit
Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019
Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress.At this occasion, I will write some memories on Aurora … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019Posted on December 2, 2019 by Sekinan ViewPosted in UncategorizedLeave a commentEdit
Letter to WPM Along the ridges of the mountains On Aurora Theory 2nd Edition 2 December 2019
Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress.At this occasion, I will write some memories on Aurora … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 2nd Edition 2 December 2019Posted on December 2, 2019 by Sekinan ViewPosted in UncategorizedLeave a commentEdit
Letter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019
Why climb mountain.Climb for existence.MIYATA HachiroMountain photographer, Japan– 2018 Letter to WPM Along the ridges of the mountainsOn Aurora Theory Dear WPM, Thanks a lot for RTs and probably for your lasting love on language.Now I am uploading Aurora Theory 2006 and its relevant papers to WordPress.At this occasion, I will write some memories on Aurora … Continue readingLetter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019Posted on December 1, 2019 by Sekinan ViewPosted in UncategorizedTagged Letter to WPM Along the ridges of the mountains On Aurora Theory 1 December 2019.Leave a commentEdit
TANAKA Akio
Tokyo
10 August 2020
Letter to O. again Bridge from Old China's Linguistics (Xiaoxue) to Linguistic Circle of Prague 2018
Bridge from Old China's Linguistics (Xiaoxue) to Linguistic Circle of Prague
From TANAKA, again send a letter.
Thanks a lot for your kind letter although you are in every day busy work.
I had thought again sending a letter to you but I could not, for year-end thorough cleaning of my little house.
The fact is I uploaded the letter to you on my Blogger SRFL News, removing your private part.
This blog is still now ranked in the third position.
My blog is written by English so the readers are almost foreigners. But this blog is written in Japanese as same as the real letter to you. Your sincere thinking of old books may give the readers with agreement, who love the old books like you.
Blog's URL is the next.
https://srflnews.blogspot.jp/2017/12/letter-to-o.html
In your letter, you wrote that you would read the books comfortably not selling the old books of your work. I have also felt the same feeling so I bought Development of the modern poems written by ANDO Tsuguo who was the fine teacher of literature at the university and I once went to his home thinking to hear his intimate voice on poem and literature. He was one of the most typical poet and critic in the present age of Japan.
And now I would want to read KIYOOKA Takayuki's collected poems, that was ever read in my youth.
In autumn 1970 I was the senior of university, when the next spring I would graduate, I met with the thick French binding KIYOOKA's collected poems at the well drop-in bookshop of Hachioji, Tokyo. At that time I could not yet find my whole life object of learning.
In his book, I read a long poem titled "at the campus of university" in which he wrote that he meets with the whole life object of learning as he meets with his beloved person in his life.
The next spring 1971 I graduated the university, when I could not find any object at the campus while I ruminated KIYOOKA's stanza.
What I really met with my whole life object was already entered in the 21 century at my age 56 in 2003 after much trial and error. It was language universals that was ever taught from CHINO Eiichi who was the real life time teacher of mine and the successor of the Linguistic Circle of Prague, who spent 7 year study at Prague.
Sergej Karcevskij gave me the great hint of approach to language universals through the famous paper titled "Du Dualisme asymétrique du signe linguistique" 1929.
In 2003 I wrote a paper titled " Quantum Theory for Language" after some trial papers, " On Time Property Inherent in Characters", " Manuscript of Quantum Theory for Language" .
In 2004 I wrote two attached papers, " Distance Theory" and "Reversion Theory".
After the suggestion of CHINO, I have tried the very hard road of writing style using mathematical base assisted from many contemporary mathematician works, especially at the field of algebraic geometry.
The paper " Quantum Theory for Language" was selected one of the 4 oral presentations of the linguistic field of a international symposium focused on the Silk Road.
On Karcevskij and CHINO I wrote a tiny paper, " Prague in 1920" which was dedicated the two as a token of my cordially gratitude.
https://sekinancomment.weebly.com/prague-in-1920s.html
Dear O. I am very happy to meet with you so you gave me the true value of books and the precious relationship between books and human being. Your work and suggestion made me recollect the important people and events on my life.
With best regards,
Tokyo
2 January 2018
TANAKA Akio
Sekinan Library
Tuesday, 6 August 2024
Letter to Y. Of S.W. Hawking's THE CHRONOLOGY PROTECTION CONJECTURE.. 4 August 2018.Translated by Google
Dear Y,
Thank you for your email despite your busy schedule.
I am also studying little by little in preparation for the fall.
As with anything, the more I study, the more I understand.
As this is related to my main topic, I am currently reading a 1991 academic lecture by Dr. Hawking, who passed away this spring, titled The Chronology Protection Conjecture.
NTT Publishing has the full English version available.
The original title is THE CHRONOLOGY PROTECTION CONJECTURE.
I have always understood the word Chronology to mean chronological order,
but the historical order of time certainly does not reverse, so this word is appropriate.
I have simply translated chronological order as Time Order, but this would allow any order.
In the Shorter Oxford, the word first appeared in 1593, and is written as The science of computing time or periods of time, and the Latin and original Greek are included. When Greek is written in alphabetic notation, it becomes kronos-+logia, and I felt the historical depth of English from the origin of vocabulary.
Dr. Hawking is trying to prove from the viewpoint of physics that time cannot be reversed and that time machines are impossible. Since it is not a mathematical method, I call it a hypothesis, but I think it is a highly advanced physically content. I have been thinking about imaginary time for a while, and I have written a small paper based on the doctor's thesis, so I have always been interested in his views.
My paper is as follows.
Aurora Time Theory Imaginary Time and Imaginary Space From HAWKING Stephen.
In the fall, I would like to make some progress on the main topic, Quantum Group Language, which has been continuing since 2003. I am currently in the preparation work.
https://srfl-lab.webnode.com/It is still fun to be able to clearly describe conceptual things in mathematics, if it works well.
There are not many approaches to such languages, and it is pioneering and attractive.
Take care.
Cordially,
4 August 2018
SRFL
T.A.
Letter to Old friend YOKOTE. November 2023. On love to language. Translated by Google
Letter to Old friend YOKOTE. November 2023. On love to language. Translated by Google
Letter to Y. C. November 2023
Translated by Google
Original text is Japanese
Dear YOKOTE,
In my case, I loved poetry, and
However, in the end, even though I was fully aware that I was untalented,
I'm still in the process of being uncertain.
From my language teacher Eiichi Chino
``Don't do something so difficult.
It's not what we do."
Although he was strongly scolded, he continued on his way.
love language,
love mathematics,
I love expressions in English,
For the past 20 years, that's pretty much all I've been doing.
It has been published on the Internet.
The essays posted on that relatively old site on the internet
were being read little by little around the world.
Over 200,000 pages in over 20 years
became.
My philosophy of expressing language through mathematics
remains unchanged.
It is said that language cannot be expressed in words.
Because it's at my core.
Twenty years ago, the physics concept of quantum
I tried to express language using
Fortunately, this essay was rare;
International symposium held in Nara
I was one of the four presenters in the language and literature department.
However, at this stage, the quantum itself is notated mathematically.
I wasn't able to do that.
However, from around 2000 , the mathematical concept of quantum groups
began to become popular, and now the physical concept of quantum has become popular.
It is now possible to express it clearly in mathematics.
This is my current stage.
Still, I don't understand anything about the language itself.
That is my current situation.
TANAKA Akio
November 2023
Sunday, 4 August 2024
Letter to Y. Supplemental addition. On Language and Oriental Character Study. 2018. Translated by Google
Letter to Y. Supplemental addition
>Dear Y.,
"I think that Twitter numbers alone are not reliable enough to be treated as objective." I agree with this.
I was oversimplifying by showing only the results from Twitter. I made my judgment based on the results of each of the statistics , such as 8 general sites on Weebly in the past, 7 specialized sites on Webnode a little later, 3 sites on the invitational Wix, and 1 paper and essay site each on Blogger. So I don't think it's so self-satisfied. And I'm too old to be self-satisfied now.
However, the fact that visual language is becoming important has not been so popular in the history of linguistics since the modern era.
Saussure and others have formed linguistics based on the premise that language originates from speaking and listening.
In China, character studies have deepened dramatically in modern times, but this is largely due to Chinese characters.
Of course, Japan has also continued to retain its influence, including the introduction of Chinese characters.
In the West, there are few major linguistic fields such as graphology, and graphology has generally been placed at a lower level.
The research of Rokuro Kono of Japan is probably one of the most comprehensive works on graphology. He passed away last year, but his foundation was based on Chinese and Korean studies.
I take a slightly different route, but in the broader sense, I can say that I grew up on the academic achievements of Rokuro Kono and others.
One of Kono's memorable essays was published in the "Language" section of the Iwanami Lecture Series "Philosophy" in the 1970s, in which he stated that even if we trace the formation of language back to the level of cuneiform characters, he strongly felt that the basis of its structure was almost entirely based on the Chinese "Six Scripts." It was his great achievement to solve the difficult problem of the role of "transfer" in the "Six Scripts," which are the six ways of constructing Chinese characters.
In today's world, where the total amount of language has increased dramatically, there is no doubt that the proportion of written languages has rapidly increased due to their excellent preservation properties.
Computers have further expanded the situation of the increase in characters.
It is certain that speaking and listening are the origin of language, but whether this actually constitutes the historical essence of language is another matter.
History has expanded and become more precise through characters. And we are probably at the leading edge of this.
In this situation, it is my position to try to think about language.
When I said "transcendental," I meant that it is important to think about it from a historical perspective that spans a long span.
It's simple, but I just added a little bit.
Cordially,
8 January 2018
Akio
31 August 2024 Revised
Hills West
Tuesday, 30 July 2024
Letter to Y. Supplemental addition. On Language and Oriental Character Study . 2018
>Dear Y.,
「Twitterの数字だけで、客観性として扱うには信頼が薄いと自分は思っています。」
これはその通りだと私も思います。
私がtwitterの結果だけを示したのは、簡素化しすぎでした。
私は古くはWeebly で一般的な8Sites, それからやや遅れてWebnodeで専門的な7Sites, あとInvitational なWix で3Sites、Blogger でpaperとessayを1Site ずつなどの それぞれのStatistics の結果を踏まえた判断です。ですからそれほど自己満足的ではないと思っています。それにもう自己満足するには年を取りすぎました。
ただ視覚言語的なものが重要になりつつあるということは、近代以降の言語学史でも、そんなにpopularではなかったのです。
言語はまず話し聞くことが原点である、という大前提の上に、Saussureなどが言語学を形成してきました。
文字学は中国では、近代に飛躍的に深化しますが、それは漢字という文字によるところが大です。
日本ももちろんその影響を漢字の移入も含めて保持し続けてきました。
欧米では言語学的には、文字学というような大きなものは少なく、一般的にはその下位に文字論として位置付けられてきました。
その文字論的なものとしては日本の河野六郎の研究が、まとまったものとしては多分最も大きいものの一つでしょう。先年亡くなられましたが、氏の基盤はやはり中国学、朝鮮学の上に成り立っていました。
私はやや別のルートを取りますが、大きく見れば、河野六郎などのの学的成果を受けて育ったとも言えます。
河野の論考で記憶に残るのは1970年代に岩波講座「哲学」の「言語」に載せたもので、この中で、氏は言語の形成をさかのぼって楔形文字のレベルに戻っても、その構成の根幹は中国の「六書」がほぼその根幹をなしているという感じを強く持つと述べていたことです。漢字の6種の構成法である「六書」における難問となっていた「転注」の役割を解決したのは氏の大きな業績でした。
言語の総量が飛躍的に増大した現代では、その保存性の卓越性によって文字言語の比率が急速に上昇してきたことは疑いないでしょう。
コンピュータが文字増大の状況をさらに大きくしてきました。
言語において話す聞くが原点であることは確かでしょうが、それが果たして言語の歴史的な本質をなすかは、また別問題とも考えられます。
歴史は文字によって増大し精密になりました。そして多分私たちはその先端にいることになります。
この状況の中で、言語を考えようとするのが、私の立ち位置となっています。
私が「超時代的」と言ったのは、この長いspanである歴史的なperspectiveの上で考えることが重要ということでした。
簡単ですが少し捕捉しました。
Cordially,
8 January 2018
Akio
31 August 2024 Revised
Hills West