Reversion Conjecture Revised

Reversion Conjecture Revised

TANAKA Akio 
                                      
Conjecture for reversion of language

14/10/2013 11:21
Conjecture for reversion of language
Language has a standstill point in itself.

[Explanation]
This conjecture’s intuition is prepared at the paper, Reversion Theory 2004 at Sekinan Research Field of Language.
This conjecture’s mathematical basis is given by Kato conjecture 1986. The conjecture is said to be given cohomological Hasse principle at unramified number theory.

[References]
News. hillssouthroad
News
Reversion Theory 2004
14/10/2013 11:10
Kato conjecture 1986
13/10/2013 23:07
K. KATO, 1986
12/10/2013 19:52
Read more: http://hillssouthroad.webnode.com/

                                       Tokyo
                                 1 May 2014
                Sekinan Research Field of Language

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New starting point on language, Reversion conjecture
Reversion conjecture may become the new starting point on language,
especially on language universals.
Reversion conjecture has the preparatory thinking by algebraic geometry.
Refer to the next.
Dimension Decrease Conjecture 2013 
Synthesis Conjecture 2013
Reversion Conjecture 2013

                                              Tokyo
                                        20 May 2014
                     Sekinan Research Field of Language

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Interpretation of Reversion conjecture
According to Reversion conjecture, language has a standstill point in itself.
Here it means that every word has standstill point and every word has a
proper distance from the standstill point. This distance constructs word'
proper meaning and grammar.

Refer to the next.
Distance Theory 2004 / SRFL
Reversion Theory 2004 / SRFL

                                             Tokyo
                                        20 May 2014
                     Sekinan Research Field of Language

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Simplification of Reversion conjecture
Reversion conjecture is simplified by Kerz-Saito's theorem, 2012.

Kerz, M., Saito, S.: Cohomological Hasse principle and
motivic cohomology of arithmetic schemes. 2012

                                             Tokyo
                                        20 May 2014
                     Sekinan Research Field of Language

Conjecture for synthesis of meaning in word

Conjecture for synthesis of meaning in word

TANAKA Akio

Synthesis
1 Conjecture for synthesis of meaning in word
29/09/2013 19:25
For synthesis of meaning in word, Conjecture: Condition for synthesis of meaning in word is proposed by cohomological expression.

2 Conjecture: Condition for synthesis of meaning in word
29/09/2013 18:38
On condition for synthesis of meaning in word,  at conjecture is proposed  by the next result of etale cohomology.
Result
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Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A’ s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.
——————————————————–
Conjecture
Preparation
Word is shown by R. This word is called old word.
Base meaning in word is shown by F.
Word that has base meaning is shown by RF.
Additional meaning to word is shown by G.
Word that has additional meaning is shown by RG. This word is called intermediate word.
Word that has base meaning and additional meaning is shown by R ( G O F ). This word is called new word.
Conjecture
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology.

3 Canonical natural equivalence
29/09/2013 18:08
Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A‘s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.

Dimension Decrease Conjecture

Dimension Decrease Conjecture

TANAKA Akio

1 Dimension conjecture of word
23/09/2013 23:04
Word has dimension. New addition of meaning to word makes dimension of word decrease.
Basis
Pull back map of higher Chow group
23/09/2013 16:11
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meaning, dimension of word is decreased by dimension of additional  meaning.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

2 SAITO Shuji, SATO Kanetomo
24/09/2013 10:14S
SAITO Shuji, SATO Kanetomo. Algebraic Cycle and Etal Cohomology. 2012.

3 Pull-back map of higher Chow group
23/09/2013 16:11
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meaning, dimension of word is decreased by dimension of additional meaning.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

4 Y. Nesterenko, A. Suslin
23/09/2013 15:30
Y. Nesterenko, A. Suslin.
Homology of the general linear group over a local ring, and Milnor’s K-theory. Math. 1990.

5 Higher Chow ring
23/09/2013 15:21
Double graded Abel group becomes double graded ring by defined intersection product.
Its product become commutative at one degree and become noncommutative at the another degree.

6 W.Fulton
23/09/2013 11:01
W. Fulton. Intersection Theory, 2nd ed. 1988.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

7 V. Vodoedsky
22/09/2013 20:09V.
V. Vodoedsky
On motivic cohomology with Z/2-coefficients. Math.98. 2003.
On motivic cohomology with Z/l-coefficients. Ann. of Math.

8 Map that norm residue map induces
22/09/2013 20:03
When k is field and n is commutative integer, map that norm residue map induces is bijection.

Paper for Dimension

Paper for Dimension


1. Dimension Decrease Conjecture
2. Conjecture for synthesis of meaning in word
3. Reversion Conjecture Revised 
    Proto 3. Conjecture for reversion of language

Tokyo

14 June 2015

Sekinan Paper

Sekinan Paper

Sekinan Paper

Tokyo

1 June 2015 arranged

Study result of Sekinan Library from 1986, SRFL from 2003 and Zoho from 2008

Sekinan Paper is the paper site of Sekinan Library and SRFL Sekinan Research Field of Language.
Sekinan Library was founded at Tachikawa, Tokyo in 1986 for the study of language. 
In 2003 for the special study site of language universals, SRFL Sekinan Research Field of Language was added at Hakuba, Nagano.  

Hydrangea

June 2015

At least three elements for language universals

At least three elements for language universals

TANAKA Akio

Supposition 1:
Three elements for language universals

For language universals, now I suppose at least three elements being  based from mathematical description.

Three elements for language universals are energy, dimension and distance.

The most fundamental element is energy. By this energy, all the movements and changes occur in language.
vide: 

• Edward Sapir, Language, 1921
• Substantiallity

All the languages are located at a certain dimension in space. By this dimension, confusions in language are averted.
vide:

• True-false problem of the Crete

In language, all the movements and changes inevitably make distance occurred. By this distance, important phases of language are clearly defined.
vide:

• Distance Theory 

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Supposition 2:
Mathematical description for three elements of language universals

Energy, dimension and distance can be describe by mathematical writing.

Energy in language is now preparatory description til now.
vide:

• Energy of Language / Stochastic Meaning Theory
• Energy and Distance / Energy Distance Theory
• Energy and Functional / Energy Distance Theory
• Potential of Language / Floer Homology Language

For dimension, definite results are presented being aided by arithmetic geometry.
vide:

• Three Conjectures for Dimension, synthesis and Reversion with Root and Supplement

For distance, its vast and vagueness of the concept can not be grasped up. But related papers of mine are probably the most in number.
vide:

• Distance / Direct Succession of Distance Theory / Distance Theory Algebraically Supplemented
• Distance of Word / Complex Manifold Deformation Theory

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This paper is not finished.

Tokyo
27 February 2015
SIL

Manuscript of Quantum Theory for Language

Manuscript of Quantum Theory for Language

TANAKA Akio

Tokyo 6 June 2015
Sekinan Study

以下に示す「言語の量子理論」は、英文で書かれたQuantum Theory for Language の草稿となるもので、２００３年３月に長野県白馬の白馬アルプスホテルで書かれたものである。発表するのは今回が初めてである。いままで発表しなかったのは、この草稿がまったく資料のないホテルの部屋できわめて短時間のうちに書かれたものであり、そのためその内容が非常に直感的で、通常の論考とは異なる、私にとってはかなり先鋭的なものであったためである。しかも論考は途中で終わり未完のままである。２００３年１２月に或るシンポジウムで発表するためにこの草稿をもとに書き上げたQuantum Theory for Languageでは、論考の趣旨はほぼ一貫しながらもその表現をより穏やかなものにした記憶がいまもはっきりと残っている。しかし現在この草稿を読み返してみると、私が２００３年当時気にした直感性や先鋭さは、やはり私の言語論の本質に深く根ざしたものであり、ほぼ十年におよぶ言語に関する数学的な記述を経て振り返ると、私が今なお書き残しているもっとも重要ないくつかの主題は、ほぼこの草稿に記されたものであることを私はあらためて確認するに至っている。言語の量子化、量子の出現と消滅、量子の接合と階層、量子集合体、量子群の進行と階層、陽性量子と陰性量子、量子の意味とエネルギー。いずれも私にとって、依然として未知であり魅惑的であり続ける。今後私はふたたびこの草稿の位置にもどり、あらためてみずからの思考を紡いてゆくことになるであろう。老年の今となっては、本質は形態に先行し、もっとも表現したいものを、私にとってそれにもっともふさわしい方法で記述してゆくこととなるであろう。いくばくかの時間がなお残されているのであればだが。二十歳のころ恩師が教えてくれた句は今もそのまま生きている。いざゆかん雪見にころぶところまで。
２０１５年３月２３日、東京にて記す。
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言語の量子理論

２００３年３月
長野県白馬にて執筆

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