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Monday, 6 March 2023

HW: Quantum-Nerve Theory Preliminary Paper

HW: Quantum-Nerve Theory Preliminary Paper: Quantum-Nerve Theory Preliminary Paper Preliminary Paper ENSILA Preliminary Paper 29/04/2019 19:49 ENSILA Preliminary Paper Preliminary ...

HW: Farewell to Language Universals

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Wednesday, 1 March 2023

The Days of von Neumann Algebra

The Days of von Neumann Algebra

The cited papers' texts are shown at Blogger site, SRFL News.

TANAKA Akio

1.
My study's turning point from intuitive essay to mathematical writing was at the days of learning von Neumann Algebra, that was written by four parts from von Neumann Algebra 1 to von Neumann Algebra 4. The days are about between 2006 and 2008, when I was thinking about switching over from intuitive to algebraic writing. The remarkable results of writing these papers were what the relation between infinity and finiteness in language was first able to clearly describe. Two papers of von Neumann 2, Property Infinite and Purely Infinite, were the trial to the hard theme of infinity in language.
The contents' titles are the following.

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von Neumann Algebra

Assistant Site : sekinanlogos
TANAKA Akio

On Infinity of Language
1 von Neumann Algebra 1
2 von Neumann Algebra 2
3 von Neumann Algebra 3
4 von Neumann Algebra 4

References

1 Algebraic Linguistics
2 Distance Theory Algebraically Supplemented
3 Noncommutative Distance Theory
4 Clifford Algebra
5 Kac-Moody Lie Algebra
6 Operator Algebra.

.................................................................................................................................

2.
The papers of von Neumann Algebra and References are the next.

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von Neumann Algebra

1 1 Measure
2 Tensor Product
3 Compact Operator

von Neumann Algebra 2

1 Generation Theorem

von Neumann Algebra 3

1 Properly Infinite
2 Purely Infinite

von Neumann Algebra 4

1 Tomita's Fundamental Theorem
2 Borchers' Theorem

Algebraic Linguistics

<Being grateful to the mathematical pioneers>On language universals, group theory is considered to be hopeful by its conciseness of expression. Especially the way from commutative ring to scheme theory is helpful to resolve the problems a step or two.
1 Linguistic Premise
2 Linguistic Note
3 Linguistic Conjecture
4 Linguistic Focus
5 Linguistic Result

Distance Theory Algebraically Supplemented

Algebraic Note
1 Ring
2 Polydisk <Bridge between Ring and Brane>
3 Homology Group
4 Algebraic cycle
Preparatory Consideration
1 Distance
2 Space <9th For KARCEVSKIJ Sergej>
3 PointBrane
Simplified Model
1 Bend
2 Distance <Direct Succession of Distance Theory>
3 S3 and Hoph Map

Noncommutative Distance Theory

Note
1 Groupoid
2 C*-Algebra
3 Point Space
4 Atiyah’s Axiomatic System
5 Kontsevich Invariant[References]
Conjecture and Result
1 Sentence versus Word
2 Deep Fissure between Word and Sentence

Clifford Algebra

Note
1 From Super Space to Quantization
2 Anti-automorphism
3 Anti-self-dual Form
4 Dirac Operator
5 TOMONAGA's Super Multi-time Theory
6 Periodicity
7 Creation Operator and Annihilation Operator
Conjecture
1 Meaning Product

Kac-Moody Lie Algebra

Note
1 Kac-Moody Lie Algebra
2 Quantum Group
Conjecture
1 Finiteness in Infinity on Language

Operator Algebra

Note
1 Differential Operator and Symbol
3 Self-adjoint and Symmetry
4 Frame Operator
Conjecture
1 Order of Word
2 Grammar
3 Recognition
....................................................................................................................................

3.
After writing von Neumann Algebra 1 - 4, I successively wrote the next.

Functional Analysis
Reversion Analysis Theory
Holomorphic Meaning Theory
Stochastic Meaning Theory

Especially Stochastic Meaning Theory clearly showed me the relationship between mathematics and physics, for example Brownian motion in language. After this theory I really entered the algebraic geometrical writing by Complex manifold deformation Theory. The papers are shown at Zoho site's sekinanlogos.

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sekinanlogos

Complex Manifold Deformation Theory

Distance of Word
Reflection of Word
Uniqueness of Word
Amplitude of Meaning Minimum
Time of Word
Orbit of Word
Understandability of Language

Topological Group Language Theory

Boundary of Words

Symplectic Language Theory

Symplectic Topological Existence Theorem
Gromov-Witten Invariantational Curve
Mirror Symmetry Conjecture on Rational Curve
Isomorphism of Map Sequence
Homological Mirror Symmetry Conjecture by KONTSEVICH
Structure of Meaning

Floer Homology Language

Potential of Language
Supersymmetric Harmonic Oscillator
Grothendieck Group
Reversibility of language
Homology Generation of Language
Homology Structure of word
Quantization of Language

.....................................................................................................................................

4.
The learning from von Neumann Algebra 1 ended for a while at Floer Homology Language, where I first got trial papers on language's quantisation or discreteness. The next step was a little apart from von Neumann algebra or one more development of algebra viz. arithmetic geometry.

# Here ends the paper.

Tokyo
3 December 2015

Thanks to physics about which I ever dreamt in my future

Thanks to physics about which I ever dreamt in my future

TANAKA Akio

In the days of high school, I deeply dreamt that someday physics would perfectly write over this world's phenomena by the clearest descriptions. So I longed for studying physics in the future. But I selected language's diverse wideness at the university, from where returning the clear descriptive situation represented by physics needed long and winding road for me. Now in my mind probably language and physics or mathematics are happily live together constructing the world's one main frame. I wonder why I took so much time to reach here. Long time ago, at least Pascal's days, philosophy and mathematics were both sides of shield for solving the world's hard problems. It is very appropriate that the fact is solved from every fields not being partitioned any artificial walls. Philosophy may be solved by mathematics and mathematics may opened by physical phenomenon. Now they all became common sense. Only I reached here delaying rather late. I am now situated in tranquil field. Thanks to so many pioneers, especially in mathematics. Also to physics about which I ever dreamt in my future.

References:

Tokyo
25 July 2015 Reprint
Sekinan Study

Tuesday, 28 February 2023

The meaning of life that never returns. From 17 Professor MOMOSE. Papa Wonderful 1999. Translated by Google

The meaning of life that never returns

I haven't seen my teacher in a long time. I would love to hear about how he had spent so many years editing and completing the big books without any hard problems. Someday I would creak up the old stairs again, at a coffee shop that was called "California". I would have just a cup of tea, I would like to hear not about the Invader game, which he might have been really serious about at the time. Over a drink, I would like hear his stories intimately about the voices of people who have passed away and the meaning of life that never returns, without phonology or semantics.

Reprint
1 March 2023
Tokyo
HW HillsWest

Meaning of unreturnable life. From 17 Professor MOMOSE. Papa Wonderful 1999

もどることのない人生の意味

先生とはそれからもう久しくお会いしていません。長い年月をかけて無事大書を編集・完結なさったことなどをゆっくりお聞きしたい気持です。いつかまたあの古ぼけた階段をぎしぎしと上って、たしか「カルフォルニア」という名前であった喫茶店で、当時先生がもしかしたらほんとうに真剣であったかもしれないインベーダーゲームのことではなく、ただ一杯のお茶を飲みながら、音韻論や意味論でもない、すでに亡くなったやさしい人々の声音と、もどることのない人生の意味について、先生から親しく教えていただきたいと思っています。

17 Professor MOMOSE.From Papa Wonderful

17 百瀬先生

　百瀬先生は言語学の先生です。田所さんは百瀬先生から、二十代の学生のときにはロシア語を、三十代の聴講生のときには言語学を、教えてもらいました。失礼な言い方かもしれませんが、長いお付き合いということになります。その年月の間に、田所さんが年を取った分だけ百瀬先生も年をとりました。先生と田所さんは十歳くらいしか年がはなれていません。田所さんが大学三年でロシア語を学んだとき、百瀬先生はまだ三十代のはじめだったはずです。

　先生は教室にはいってくるときよくスポーツ新聞を持っていました。先生がどこの野球チームのファンであったかもう忘れましたが、先生のひいきのチームが勝ったときは、なんとなく楽しそうな始まり方をしました。

　三十代で聴講生であったとき、毎年のように先生の言語学を聴いていましたが、年度の初めに教室で先生にお会いすると、「田所君、もう来なくてもいいんじゃない」とよく言われたことをおぼえています。

　言語学の細かい内容の多くはもう忘れてしまいましたが、それでもいくつかは鮮明におぼえています。ひとつはカルツェフスキーの「言語記号の非対称的二重性」の話、もうひとつは「プラハ言語学サークル」の存在です。それらの内実についての田所さんの感嘆は、ことばのようなとりとめもないものに対してよくそんなに理論を積み重ねていくことができるものだということでした。

　カルツェフスキーの話は、ことばというものがいかに柔軟なものであるかということを田所さんに教えました。またプラハ言語学サークルは、歴史が進行するなかで、ひとつの存在がいかに歴史のもたらす埋没性に抵抗できるかを、田所さんに教えました。プラハ言語学サークルは、第二次世界大戦後、構造主義の名の下に大きく世界に広がりました。構造言語学、とりわけ音素の二項対立、構造主義人類学への発展、数学におけるブルバキ集団、ヤーコブソンとレヴィ・ストロースとのニューヨークでの出会い、トゥルベッコイの音韻論。どのひとつをとっても、めくるめくような理性の営みでした。

　百瀬先生は、ことばが、ひいては考えることの柔軟さが、いかなるときにももっとも大切なもののひとつであることを、いつもていねいにさまざまな例を引きながら教えてくださいました。

　先生とはそれからもう久しくお会いしていません。長い年月をかけて無事大書を編集・完結なさったことなどをゆっくりお聞きしたい気持です。いつかまたあの古ぼけた階段をぎしぎしと上って、たしか「カルフォルニア」という名前であった喫茶店で、当時先生がもしかしたらほんとうに真剣であったかもしれないインベーダーゲームのことではなく、ただ一杯のお茶を飲みながら、音韻論や意味論でもない、すでに亡くなったやさしい人々の声音と、もどることのない人生の意味について、先生から親しく教えていただきたいと思っています。