Basis of the further study on language – Potential

Basis of the further study on language – Potential
 
 
Paper's first title
 
 
  
   
¶ Prerequisite conditions 
Note 6 Homology structure of Word
  
(Definition) 
(Gromov-Witten potential)  
 
(Theorem) 
(Witten-Dijkggraaf-Verlinde-Verlinde equation)  
  
(Theorem) 
(Structure of Frobenius manifold) 
Symplectic manifold     (MwM
Poincaré duality     < . , . > 
Product     <V1 V2V3> = V1V2V3
(MwM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential. 
 
(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   
Tokyo April 29, 2009 
 
Newly planned on further visibility  
Tokyo June 16, 2009  
Sekinan Research Field of Language 
 
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[Note, 31 March 2015] 
This paper was first designed for energy of language. But at that time, I could not write 
the proper approach from the concept of energy by mathematical process. So I wrote 
the paper through the concept of potential. Probably energy is one of the most fundamental
factors on language.
In 2003 I wrote Quantum Theory for Language , before which I wrote the manuscript focusing 
the concept of quantum abstracted from the ideogram of classical Chinese written language. 
The last target of manuscript was energy and meaning of quantum that was the ultimate 
unit of language. 
 
Read more: https://srfl-paper.webnode.com/news/basis-of-study-sekinan-view-june-2015/

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[Note 2, 30 November 2017]
Now the study on image analysis has been studied using geometrization from the side of ideogram that has vast heritage in history of Orient. Potential of language seems to be the strong basis for this image analysis.

Tokyo
30 November 2017
Geometrization Language
 
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[Reference added, 4 December 2017]
Tokyo
4 December 2017
Geometrization Language