LETTER TO SEBASTIAN 7 JUNE 2021. PPS ADDED ON EDWARD SAPIR 15 JUNE 2021

 

Letter to Sebastian

Dear Sebastian,

Thanks a lot for your likes to my blogging.

I think that my papers and essays are of very narrow fields and themes, so I feel pleasant for your likes many times.

From last year Autumn to April this year, I kept on writing Essay on a researcher of French literature who died at 37 in 1976. I learnt French from him at university.

The days are 1970s and we were all young and eager to study towards future.

But everybody was in the confusion at those days after disturbance at universities.

I am also in the same situation.

I hoped to study linguistics but never found its way adequate to me . I only learnt several languages, Chinese, Korean, Russian, French and so forth.

At last my object and its way to learn were found in the end of the 20th century.

It was really a long and winding road as the Beatles sang at those days.

All were dear for me, all were thankful to the pioneers of language and mathematics.

Yours sincerely,

T.A.
ensila2

Tokyo
7 June 2021

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PS

One of pioneers of language is CHINO Eiichi 1932-2002, who studied Czech language at Czech and became authority on Old Slavic language. I learnt Russian language and the Linguistic Circle of Prague from him.

I ever wrote several essays on his memory.

Dedicated to CHINO Eiichi

Aim/Aim again
Aim 2
CHINO Eiichi and Golden Prague
Coffee shop named California
Fortuitous Meeting What CHINO Eiichi Taught Me in the Class of Linguistics
The Days of Distance  From Distance to Pseudo-Kobayashi Distance
Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague
Linguistic Circle of Prague
Mirror Theory
My heimat of Learning, the Linguistic Circle of Prague
Prague in 1920s
Prague, Karcevskij and CHINO Reference added
Under the Dim Light

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Tokyo
14 June 2021
ensila2

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PPS

Dear Sebastian,

The relation between language and time is at first given to me from Edward Sapir’s Language 1921.

Sapir’s concept drift is still very important for me.

For more details, refer to the following paper.

Edward Sapir, Language, 1921  Revised

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” 2003 is my first total proposal paper describing the natural language’s model.

Reference

Substatiality Dedicated SAPIR Edward / 27 February 2005

Tokyo
5 September 2014
Sekinan Research Field of Language 

[Additional Explanation]

17 November 2019

SRFL Paper

Edward Sapir’s LANGUAGE AN INTRODUCTION TO THE STUDY OF SPEECH 1921 gave me a moment for study in 1980s while I was roaming about the darkness of not- getting any aim to study on language. I ever wrote a short paper being influenced in 2005 and after also wrote a memo on his book in 2014.Substantiality / 2005

Edward Sapir, Language, 1921 / 2014A moment came from his famous concept drift. At the near-end Chapter 7 Sapir wrote “the three major drifts“, that were the next .“The drift toward the abolition of most case distinctions“
“the correlative drift toward position as an accompanied“
“the drift toward the invariable word“
This “the three major drifts” are all apparently seen in Chinese, especially in the classical written language. At my age 20s and 30s I continuously had read Qing dynasty’s classical linguistic books and papers. WANG Guowei, ZHANG Binglin, DUAN Yucai, WANG Yinzhi were the most reliable works for me.

Read more: https://srfl-paper.webnode.com/news/edward-sapir-gave-me-a-moment-to-study-language-universals-together-with-sergej-karcevskij/

This paper is unfinished.

Read more: https://srfl-paper.webnode.com/news/edward-sapir-language-1921-revised/

---

Papers written on Edward Sapir are listed up at the next.

From Edward Sapir’s theme  3rd Edition

1. Warp Theory Dedicated to SAPIR Edward 2004
2. Substantiality Dedicated to SAPIR Edward 2005
3. Changeability To SAPIR and KARCEVSKIJ  2005
4. Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro 2007
5. Edward Sapir, Language, 1921  2014
6. Flow of Language, Heritage of WANG Guowei and Edward Sapir 2014
7. Pioneer of language study at Gist of Sekinan Study 2015
8. Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij 2017
9. Edward Sapir, Language, 1921 Revised 2019

Tokyo

18 October 2019

SRFL Paper

Read more: https://srfl-paper.webnode.com/news/from-edward-sapirs-theme-3rd-edition/

---

Tokyo
15 June 2021
ensila2

Inspiration The Time of Quantum

Inspiration The Time of Quantum :: SRFL Theory

2 January 2023

Sekinan Library

Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique"

 Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique"

From Print 2012, Chapter 18

Non-symmetry. It was the very theme that I repeatedly talked on with C. Prague in 1920s. Karcevskij's paper "Du dualisme asymetrique du signe linguistique" that appeared in the magazine TCLP.  Absolutely contradicted coexistence between flexibility and solidity, which language keeps on maintaining, by which language continues existing as language.  Still now there will exist the everlasting dual contradiction in language. Why can language stay in such solid and such flexible condition like that. Karcevskij proposed the duality that is seemed to be almost absolute contradiction. Sergej Karcevskij's best of papers, for whom C called as the only genius in his last years' book Janua Linguisticae reserata 1994. 

Source: 

1. Tale / Print by LI Koh / 27 January 2012  

Reference:

1. Fortuitous Meeting, What CHINO Eiichi Taught Me in the Class of Linguistics / 5 December 2004 

Reference 2:

1. Linguistic Circle of Prague / 13 July 2012 - 19 July 2012

References 3:

1. Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique" / 8 September 2011
2. Condition of Meaning / 11 September 2011

References 4:

1. Dimension of Language / 4 September 2013
2. Synthesis of Meaning and Transition of Dimension / 6 September 2013

Reference 5:

1. Reversion Conjecture Revised / 1 May 2014 - 20 May 2014

[Note, 2 October 2014]

In this Tale, Print 2012, C is CHINO Eiichi who was the very teacher in my life, taught me almost all the heritage of modern linguistics. I first met him in 1969 at university's his Russian class as a student knowing nothing on language study.

1. From Distance to Pseudo-Kobayashi Distance / 5 February 2012

TANAKA Akio

Tokyo

5 June 2015

Sekinan Study

Read more: https://srfl-theory.webnode.page/news/prague-in-1920s-the-linguistic-circle-of-prague-and-sergej-karcevskijs-paper-du-dualisme-asymetrique-du-signe-linguistique/

Distance of Word

 Complex Manifold Deformation Theory

​

 

​

 

Conjecture A 

1 Distance of Word 

​

 

TANAKA Akio 

     

​

 

Conjecture 

Word has distance.​

​

[Explanation]​

1​

Topological space     E, B, F​

Continuous map     

 : E

F​

Homeomorphic with F     

-1 (b) , b

B     ​

Neighborhood of b     U

 B   ​

Homeomorphic with U 

 F     

-1 (U)​

Homeomorphic map     h : 

-1 (U) 

U 

 F​

Objection to primary component     p1 :  U 

 F   

 U   

, h and p1 are fiber bundle in total 

space S, base space B, fiber F and projection 

.​

​

2​

Topological space     E​

Family that consists of E's open sets     {U 

}a

A​

What E is covered by {Ua}a

A is that the next is satisfied.​

E = 

a

AUa​

Open sets family { Ua}a

A is called open covering.​

What covering is simply connected in space is called universal covering.​

​

3 ​

Complex manifold     M​

Point of M     Q​

Normal tangent vector space     TQ(M)​

m+n dimensional complex manifold     V​

m dimensional complex manifold      W​

Holomorphic map     

 : V

W​

Map 

 that satisfies the next is called analytic family of compact complex manifolds.​

(i) 

 is proper map.​

(ii) 

 is smooth holomorphic map.​

(iii) For arbitrary point of w

W, fiber 

-1 (w) is always connected.​

When w0

W is fixed, Vw, w

W is called deformation of Vw0.​

​

4​

Complex manifold     S​

Weight     w​

Deformation of polar Z-Hodge structure     H = (HZ, F, 

)​

Point     s0 

S​

HZ = HZ (s0)​

Fp = Fp(s0) 

 = 

 (s0) ​

Polar Z-Hodge structure     (HZ, {Fp}, 

 )​

Period domain that is canonical by (HZ, { Fp}, 

 )     D​

compact relative of D     

​

Bilinear form over HZ, that is determined by

    Q​

Monodromy expression of S's fundamental group 

 (S, s0)       

 : 

1 (S, s0) 

GZ = Aut(HZ, 

Q)

 = Im 

 =  

 ( 

1 (S, s0) )

 : S 

 \ D

  is called period map.​

​

5​

Compact manifold     M​

Horizontal tangent bundle     Th

​

Regular map     

 : M 

 

​

Horizontal     d

 is map that is from TM to Th(

)​

Locally liftable     

 | V : V 

 D 

 \ D​

​

6​

Subring of R      A​

H = (HA, F) that satisfies the next is called weight w's A-Hodge structure.​

(i) HA is finite generative A module.​

(ii) For arbitrary p, q, there exists decomposition HC= 

p+q=wHp,q that satisfies Hp,q = Hp,q .   

Hp,q is complex conjugate for Hp,q .​

​

7​

A-Hodge's deformation over S      H = (HA, F),  H' = (H'A, F)    ​

Morphism of A module's local constant sheaf      fA: HA 

 H'A​

fo= fA

AO :HO

H'O that is compatible with filter F is called sheaf from H to H'.​

​

8​

Deformation's morphism of Hodge structure     

 : HA 

 HA

A (-w)​

s

S​

Fiber 

A(s)= 

A,s​

Weight     w

 that gives polar of w's A-Hodge structure at s is called polar of deformation of 

w's A-Hodge structure's deformation.​

Hodge structure that is associated with polar is called polarized VHS.​

​

9​

Open disk D = { z 

C | |z|<1 }, D* = D\{0}​

Universal covering of D*     Upper half-plane of Poincaré      H​

Covering map     H  

z 

 exp(2

z) 

 D*​

Polarized VHS on D     (H,S) 

Fundamental group     

1(D*) 

  Z​

Generation element of the fundamental group     HC​

Action as monodromy to HC     T​

Period map adjoint with H     p : H 

 D​

p ( z + 1 ) = Tp(z)​

​

10​

O module of deformation of Hodge structure H     HO​

D* = D\{0}​

Period map     p : D* 

 \ D​

Limit of p   limz

0p(z)​

Universal covering     H

D​

​

11​

Period map     

​

Nilpotent orbit   

 (w) : = exp(wN) 

(0)​

(Nilpotent orbit theorem)​

(i) Nipotent orbit is horizontable map.​

(ii) If Im w > 0 is enough large, 

(w) 

D.​

(iii) If Im w > 0 is enough large, there exists non-negative constant B that satisfies dD(

(w), 

(w) )

(Imw)Be-2

Imw . ​

     dD is invariant distance over D.​

​

[Comment]​

When word is expressed by open disk D, word has invariant distance in adequate 

condition(Im w > 0).​

At that time, B is proper number of its word.​

​

[Reference]​

Distance Theory / Tokyo May 5, 2005 / Sekinan Linguistic Field​

​

Tokyo November 30, 2008​

Sekinan Research Field of language​

​

[Reference 2 / December 9, 2008]​

Mirror Theory Group / Tokyo December 9, 2008 / Sekinan Linguistic Field​

​

 

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