Potential of Language / 29 April 2009 - 16 June 2009

 

Floer Homology Language

TANAKA Akio

 
 
 

Note1 
Potential of Language 
 
  
¶ Prerequisite conditions 
Note 6 Homology structure of Word
 
 
1 
(Definition) 
(Gromov-Witten potential)  
 
2 
(Theorem) 
(Witten-Dijkggraaf-Verlinde-Verlinde equation)  
 
 
3 
(Theorem) 
(Structure of Frobenius manifold) 
Symplectic manifold     (M, wM) 
Poincaré duality     < . , . > 
Product     <V1°V2, V3> = V1V2V3( ) 
(M, wM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential. 
 
4 
(Theorem) 
Mk,β (Q1, ..., Qk) =  
 
N(β) expresses Gromov-Witten potential. 
 
  
[Image] 
When Mk,β (Q1, ..., Qk) is identified with language, language has potential N(β). 
    

[Reference]

Quantum Theory for language / Synopsis / Tokyo January 15, 2004

First designed on <energy of language> at Tokyo April 29, 2009 Newly planned on further visibility at Tokyo June 16, 2009Sekinan Research Field of language

Flow of Language / Heritage of WANG Guowei and Edward Sapir / 26 September 2014

TANAKA Akio

Description form succeeds Ludwig Wittgenstein.
Description / 15 August 2013

1. Wellspring / 28 November 2008
2. For WITTGENSTEIN Revised / Position of Language / 10 December 2005 - 2 August 2014
3. The Time of Wittgenstein /20 January 2012
4. Citation from Ludwig Wittgenstein / 7 February 2012
5. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005 by Roger Penrose / 25 October 2012

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

0.Progress so far

1. The First Paper on Inherent Time in Word / 26 July 2014
2. 40 years passed from I read WANG Guowei / 16 November 2013
3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 / With References

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

1. Language is substance.

1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
2. Macro Time and Micro Time / 24 July 2013

2. Language has structure.

1. True-false problem of the Crete, The example of What language has structure / 22 July 2013
2. Homology Structure of Word / Floer Homology Language / 16 June 2009

3. Language has dimension.

1. Parts and Whole / 1 September 2013
2. Dimension of Language / 9 September 2013
3. Disposition of Language / 12 September 2014 / With supplement

4. Language has energy.

1. Energy of Language / For ZHANG Taiyan and Wenshi 1908 / Stochastic Meaning Theory / 24 July 2008
2. Potential of Language / Floer Homology Language / 29 April 2009

5. Language has flow.

1. Time Flow in Word / For KOHARI Akihiro and His Time / Language and Spacetime / 3 May 2007

6. Language has time.

1. On Time Property Inherent in Characters / 28 March 2003

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

Note

N1. 

At this paper, the most important theme is "5. Language has flow." For this theme, clear and mathematical description must be proposed for the further research's development. Its premise  by mathematical basic description is shown at
2.2 Homology Structure of Word / Floer Homology Language / 16 June 2009

4.2 Potential of Language / Floer Homology Language / 29 April 2009 

N2.
The intuitive concept of flow of language was prepared by WANG Guowei's Guantangjilin and Edward Sapir's Language for my study.
For WANG Guowei / A Letter / 11 March 2003 
Edward Sapir's Language, 1921 / 5 September 2014  

N3.
Mathematical approach will be done by geometry that is the most  image-able for me. Many thanks to the contemporary mathematicians for their radical works.

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

This paper is still continued.

Tokyo
26 September 2014
SRFL Sekinan Research Field of Language

Potential of Language / Floer Homology Language / 29 April 2009

Floer Homology Language

TANAKA Akio

Note1
Potential of Language



¶ Prerequisite conditions
Note 6 Homology structure of Word

1
(Definition)
(Gromov-Witten potential)


2
(Theorem)
(Witten-Dijkggraaf-Verlinde-Verlinde equation)



3
(Theorem)
(Structure of Frobenius manifold)
Symplectic manifold     (M, wM)
Poincaré duality     < . , . >
Product     <V1°V2, V3> = V1V2V3( )
(M, wM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential.

4
(Theorem)
Mk,β (Q1, ..., Qk) = 

N(β) expresses Gromov-Witten potential.



[Image]
When Mk,β (Q1, ..., Qk) is identified with language, language has potential N(β).

   

[Reference]

Quantum Theory for language / Synopsis / Tokyo January 15, 2004 

First designed on <energy of language> at
Tokyo April 29, 2009
Newly planned on further visibility at
Tokyo June 16, 2009

Sekinan Research Field of language