Tuesday, 28 November 2023

The days when I was thinking on Energy Distance Theory

 
The days when I was thinking on Energy Distance Theory

01/02/2016 13:24q.v. Energy and Distance in Language / 31 August 2008

TANAKA Akio

1.
Around 2008, I was thinking on energy in language related with distance in language. Distance is one of the kernel themes of my study of language universals in those days. In simply saying, distance is the result of movement and for movement there must inevitably needs energy. So I had thought that if language have distance, there must be energy or its alike in language that is supposed in mathematical models. But in my ability in 2008, I could not develop the deep and wide range of language from the theme, energy and distance. So Energy Distance Theory was still now unfinished.


Energy Distance Theory      
  1.       Energy and Distance
  2.       Heat and Diffusion
  3.       Energy and Functional
  4.       Finsler Manifold and Distance
  5.       Word and Meaning Minimum
  6.       Geometry of Word  

2.
In another approach of my study on language universals, Edward Sapir's Language, 1921 was one of my favourite books between 1970s and early 1980s. In his book, the most fantastic concept for me was Drift, that indicated the vast movement of language system itself.  I ever gave brief account on it.

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  1. Edward Sapir's Language, 1921

Edward Sapir's Language, 1921 showed me the dynamism of language proposing the concept, drift.
Drift shows us the macro phase of natural language and I was hinted by Sapir's this concept and proposed the micro phase of natural language. The paper "Quantum Theory for Language" is my first total proposal paper describing the natural language's model.

Reference
  1. Substatiality Dedicated SAPIR Edward / 27 February 2005

Tokyo
5 September 2014
Sekinan Research Field of Language

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3.
My language study started from the reading of Old China's Qing dynasty's huge linguistic inheritance, "Xiaoxue", in English Small Study , that is contrary to the name, the most basic and difficult study of classical texts of old China. I particularly loved the books written by WANG Guowei and WANG Yinzhi and DUAN Yucai.
The main book list to which I referred in those days between the age 20s and 40s are shown  at the next.

  1. Library 10 General Index,  SRFL Sekinan Research Field of Language

Especially I was enchanted with WANG Guowei's work, whose selected papers' title was Guantangjilin. For him I wrote a short essay as below.

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  1. 40 years passed from I read WANG Guowei / 16 November 2013

TANAKA Akio

Guantangjilin is the selection of works by WANG Guowei, which contents contains vast area of history, literature and linguistics. Some people say that his works is a thousand-year peak from Song era’s philosopher SHU Xi. I bought his book at Haifeng shudian, Kanda, Tokyo in my mid 20s. The date  of colophon is February 1973, publisher is Zhonghua shuju Xianggang fenju.

Probably I bought it in 1973 or 1974. In those days I frequently went Haifeng shudian bookshop for buying Chinese classics,  mainly Qing Dynasty’s linguistic works that is called ” Xiaoxue”, Small study at China. Guantangjilin is a very difficult book to understand  by my poor study result.

His study era is from Yin Dynasty to Qing Dynasty some 2,500 years of Chinese literary history. At his vast works I was especially charmed in Qing Dynasty’s ancient Chinese hieroglyphic characters, Jiaguwenzi by Chinese. After 40 years, in 2003 I wrote a small paper on language universals through this  ancient Chinese hieroglyphic characters at the view point of written language.


The title is On Time Property inherent in Characters. From at that time 10 years passed by. Now I am still learning on language universals but its style is far apart from the days 2003 or 1973. Ambiguity of approach by traditional linguistics is not for my part. I dare challenge to a new frontier of description for language study using mathematics or algebraic geometry.

Refer to the next.
  1. On Time Property Inherent in Characters 2003
  2. From Distance to Pseudo-Kobayashi-Distance 2012
  3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague 2013

Tokyo 16 November 2013
Sekinan Research Field of Language

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4.
After all,Energy Distance Theory ended in the half-finished situation. But now I still eager to write and develop the papers on energy and distance. The road is long and winding as ever. I always accustomed to delay and stagnate. Some rays of light is emitting in the small study room of mine.


Tokyo
19 December 2014
Sekinan Essay


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In the 21st century, language will definitely become one of the most important themes and targets of mathematics for us all

In the 21st century, language will definitely become one of the most important themes and targets of mathematics for us all



TANAKA Akio


The main reasons are the following.
 1.Language is the most convenient tool for human being.
2.Language has the vast variations in natural language and technical language. 
3.Natural language has speech language, written language and their recorded language, for example books, records, CD and so on.
4.Technical language has many computer languages and their related devices.
5.At natural language, there exists many meanings not to confirm clear definitions, for example finite,infinite, discrete, continuity, universal and super. 
6.Technical language has naturally defines the meanings by its discrete arithmetical basic using of discreteness.
7.Mathematics is probably belonged to natural language, that uses speech and written language by usual conversations and papers or books. 
8.But mathematics can clearly define the meaning through a few axioms and derived theorems. for example boundary, continuity, distance, finite, infinite and space.
9.Mathematics has many strong tools for description, for example mapping, projection and identification.
10.Mathematics has solid structure through long historical verifications from ancient Greece.
 
References

Boundary:
Why is boundary necessary in language? 
Description
THE ROAD TO REALITY A Complete Guide to the Laws of the Universe
Dimension
Language and Dimension
Distance
Distance of Word
Geometry
Arithmetic Geometry Language
Language
Presupposition on Natural Language
Meaning
Meaning Minimum
Space
Quantization of Language
Structure
Homology Structure of Word
True and False
The True-false problem of the Crete
 
 
 
Tokyo
8 February 2016
Geometrization Language

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Sunday, 26 November 2023

Quantum-Nerve Theory With References Abridged Edition 2019

 

Quantum-Nerve Theory With References 
Abridged Edition 2019


Quantum-Nerve Theory With References 
Abridged Edition

Quantum-Nerve Theory
Abbreviation  :  QNT
 
TANAKA Akio

 
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Quantum-Nerve Theory 
Part 0
Cicerone to QNT
 
 
Macro Time and Micro Time  2013
 
For WITTGENSTEIN Ludwig  Position of Language  2005 - 2014
 
Connection between early paper's quantum and recent paper's geometry  7th edition
 2017
 
TANAKA Akio

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0.
Autumn in 2002, I entered hospital by contracting pneumonia, at where I thought that learning on Chinese characters heretofore seemed to be able to used for the model of language universals. Spring 2003 at Hakuba, Nagano I wrote a trial paper titled On Time Property Inherent in Characters, that was focused on the time inherent in characters using the Chinese written language appeared in typical philological text of the Five Classics of Confucianism. After all, this paper led me the long road to try solving language universals in language.
 
1.
On language universals my early papers are frequently concentrated in quantum's situation applied from theoretical physics. But at recent papers quantum's themes are almost disappear at least from the surface of theoretical progress.
This notable difference  is occurred through language's whereabouts, that is generally called space at scientific field. One of my important quest has been  at this whereabouts description.
Physical space is very hard to describe clearly by my ability. Probably I have not been able to understand physical space for using and observing the situation of language models. On the contrary mathematical spaces are very clear by using minimum axioms and theorems.
 
2.
Another quest is occurred from natural language's quality.
Natural language consists of physical elements - voice and hearing, writing and seeing. But what being carried by upper elements are going over physical world - thought, remembrance, feeling and so forth. I ever wrote these situation using a sample that is a changing apple passing in the time.
This quest is paraphrased in concrete - physics and abstract - mathematics.
 
3.
Geometry is a field of mathematics, which I select because of being easily visualised thinking for my approach to the language problems. Geometry hands out intuitive ideas to me not using any formulas, for example even at the time of tea.I consent that geometry is the queen of mathematics. I also remember the saying of Roger Penrose, "We cannot get any deep understanding of the laws that govern the physical world without entering the world of mathematics."
 
4.
At the geometry field, now I am charmed to W. T. Thurston's geometrization concept, that opens 3-dimensional manifold to hyperbolic geometry's model. This model will probably hint me the new landscape for language models, that will show us more exhaustive language universal theory.

5.
What now I say as language universals is energy ,distance, dimension and so forth.
Brief comments on the three themes are time to time mentioned through my milestones to the upper steps for the research.

6.
The hardest theme has been in energy all through the research. But Perelman has opened the narrow and steep lane to the aim by physics-mixture mathematics approach,  especially thermodynamics-based means. It was a surprise which way was seemed to be the very hard way or despaired way at my present ability.
  
 
References
0.
  1. Manuscript of Quantum Theory for language
  2. On Time Property Inherent in Characters

1.
  1. The comparison between 2003 and 2017 From Chinese character's meaning structure to Homological algebraic model of language universals 
  2. Quantum Theory for Language
  3. Property of Quantum
  4. Quantification of Quantum
  5. Homology Generation of Language
  6. Homology Structure of Word

2.
  1. Presupposition on Natural Language
  2. Macro Time and Micro Time
  3. Sayama Assumption on Language   
  4. True-false problem of the Crete The example of what language has structure

3.
  1. For me geometry is the only one expression to describe the universal language containing the time which is also one of the meanings
  2. Mathematics and sculpture
  3. Roger Penrose. Understanding the laws of the universe
  4. Description 

4.
  1. Geometrization Note 1 - Note 2
  2. Hyperbolic language Connection of Words

 
5.
  1. Road to language Universals
  2. At least three elements for language universals 
  3. Mathematical description for three elements of language universals

5-2
  1. The days when I was thinking on Energy Distance Theory 
  2. Energy Distance Theory Note 1 Energy and Distance
  3. Floer Homology Language ​ ​Note 1 ​ Potential of Language

5-3

  1. Papers on language dimension  In chronological order

5-4
  1. Distance Theory Algebraically Supplemented / Brane Simplified Model 
  2. Distance Theory Algebraically Supplemented / Brane Simplified Model / Distance 

6.
  1. Interpretation on Perelman's work, Ricci flow and Geometrization conjecture by KOBAYASHI Ryoichi 
  2. Work of Perelman 
  3. The books on Grisha Perelman
  4. Perelman's Approach 1
  5. Perelman's Approach 2
 
This paper is unfinished.
 
Tokyo
8 November - 13 November 2017
Geometrization language
 
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Quantum-Nerve Theory
Part  1
Making nerve's mathematical model
 
 
What is signal? The existence that generates language
Preface, Preparation, Preparation 2, References, Main Issue 1-5,  Anticipation - FAQ
and Comment
Contents Edition

21 November 2018 - 24 April 2019
TANAKA  Akio
Sekinan Library
Tokyo
 
Original Title 
 
What is signal? A mathematical model of nerve  ​
 
For father and mother
 
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Quantum-Nerve Theory
Part 2
Physical mathematics from quantum group
 
 
0
Inspiration The Time of Quantum 2008
 
1
Quantum Theory for Language 2004
Place where Quantum of language Exists 2004
Frame-Quantum Theory 2005

Frame-Quantum-Time Theory 2005
Quantum Warp Theory Warp 2005
Quantum Linguistics Solidity and Flexibility 2006
Quantum Language Substantiality of Language 2006
 
 
2
1.Clifford Algebra Note 1 From Super Space to Quantization 20082. Kac-Moody Lie Algebra Note 2 Quantum Group 20083. Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH​ 20094. Floer Homology Language Note 7 Quantization of Language​ 2009
5. Floer Homology Language Note 8 Discreteness of Language​ 2009
6. Simplicial Space Language  Composition of Word 2013
 
3
1Floer Homology Language 2009
2. Homology Structure of Word 2009
3. Quantization of Language 2009
4Discreteness of Language 2009
5. Proto Arithmetic Geometry Language 2009
6.Language, Word, Distance, Meaning and Meaning Minimum 2009
 
 
41. Manuscript of Quantum Theory for Language Note added 20032. Quantum Theory for Language 20043. Quantum Theory for Language  Theoretical Summarization and Problem in Future 2004
4. Noncommutative Distance Theory  Note 2  C*-Algebra 2007
5. Kac-Moody Lie Algebra 2008

Read more: https://srfl-paper.webnode.com/news/quantum-nerve-theory-2019/


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References
 
Manuscript of Quantum Theory for Language  2013

Language between Sergej Karcevskij and string theory, one century's trace  2016

Ideogram Paper  2003-2018
1. On Time Property Inherent in Characters 2003

2. Ideogram 2005
3. Egyptian Hieroglyph Exhibition, Journey through the Afterlife Ancient Egyptian Book of the Dead by The British Museum 2012
4. ONO Shinobu and Bernhard Karlgren 2015
5Essence of Language 2016
6. The Days of Decipherment 2016
7The Days of Ideogram 2017
8. The Days of Ideogram Note added Edition 2017
9. The comparison between 2003 and 2017
From Chinese character's meaning structure to Homological algebraic model of language universals
 2017 
10. Time and Shape of Language from How is the time alive in language 2017
11. Connection between early paper's quantum and recent paper's geometry 7th edition 2017
12. Letter to Y. Of the century of language 2018
13.  Letter to Y. Of Broad Language 4th edition 2018
14. Determination of the concept, Broad Language 2018
15. Ars longa Seeing Masterpieces of French Landscape Paintings from the Pushkin State Museum of Fine Arts, Moscow 2018
 
Overview Paper  2013-2017
1. In the 21st century, language will definitely become one of the most important themes and targets of mathematics for us all 2016
2. Operad Meaning Theory From Cell to Operad Revised Edition 2013
3. Connection between early paper's quantum and recent paper's geometry 7th edition 2017
4. Karcevskij conjecture 1928 and Kawamata conjecture 2002 / I briefly wrote about the conjecture 2017
5. The comparison between 2003 and 2017
From Chinese character's meaning structure to Homological algebraic  2017

Tokyo
26 November 2023 Reprinted from Geometrization Language
Hills West Tokyo