Friday, 26 July 2019

SRFL Theory





SRFL Theory




SRFL Theory shows the update research result for language universals at Sekinan Library.
New theory, Quantum Group Language  is now preparing for the total language model of natural language's meaning.

 

which was founded in 1986 at Tokyo for the study of language universals.

 


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Substantiality Dedicated to SAPIR Edward / 27 February 2005



Substantiality

Dedicated to SAPIR Edward

TANAKA Akio


1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called <quantum>.
11 The idea of quantum is partially realized by <bar code system> in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates <quantum> in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.    

Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street, Tokyo at  February 26, 2005
Mother has lived in Tanashi City. 
Sekinan Research Field of Language

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Edward Sapir's Language, 1921

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
Substatiality Dedicated SAPIR Edward / 27 February 2005

Tokyo
5 September 2014
Sekinan Research Field of Language 
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Operad Meaning Theory From Cell to Operad


Operad Meaning Theory

From Cell to Operad

TANAKA Akio
24 March 2013

1.
I ever wrote a next paper in which cell and meaning minimum  are defined.
Cell Theory. From Cell to Manifold For LEIBNIZ and JAKOBSON. Tokyo June 2, 2007.
In the paper, through Roman Jakobson's intuitive assist, the concept of meaning minimum is described by the elementary algebraic  geomtry. At the deeper basis, Gottfried Leibniz's Monadologie , 1714 may influence for making this Cell Theory.   
2.
The main target of Cell Theory was in the generation of meaning in word. This target was more clearly described soon later at the next paper.
von Neumann Algebra 2. Generation Theorem. Tokyo April 20, 2008.
3.
But the balance of soft part and hard part in word, that was conjectured by Sergej Karcevskij in 1920s,  is very hard theme to describe. For solving the hardness, trial papers were proposed at the next paper group,  Notes for KARCEVSKIJ.
At the first paper of the Notes, Note for KARCEVSKIJ Sergej, the soft part in word was described by the free group's definition.
4.
There is more difficult theme on the gradual changeable addition of meaning for which language has always efficiently useful in the thus complicated contemporary world. 
For this theme, I ever tried to write some papers related with time shift. The example is the next.
5.
From another view on language, I had thought brane model for the connection of words or construction of language. The example is the next.
6.
Briefly summarising I have thought on language from its freeness, flexibility and changeability against long stern structure of soft and hard magical agalgum.
The gist is as the following.
7.
Language shows many phases from thinking levels and viewpoints. 
Language can be captured more clearly from descreteness but more flexibly thinkable from meaning variation and changeability.
8.
Changeability of language implies the eternity of time, but this eternity cannot be easily obtained probably without loop condition of movement. 
Loop space can capture this eternality, that is shown often by the repetition. I firmly noticed this situation at the Shinto dance perfomance at a shrine festival.
9.
Loop space was also notified early stage of Chinese histiory in circa. 500 B.C. at one of the five classics,Y ijing that is the fortune-telling text of ancient China.
On Yijing, I was taught from philosopher NISHI Junzo.
10.
From Infinite loop space, the concept of operad is lead as the next.
10.1
 is the space that has base *.
 is the loop space over .
.
10.2
.
10.3
Theorem (J.P. May's recognition theorem)
 operates all the fold loop space. 
Continuous space  to which  operates is weak homotopy equivalent with a certain fold loop space. 
11.
 is  identified as a operator that has j number input and 1 number output.
12.
Here I think that  is identified as a word that has j number meaning minimums and 1 number compound meaning.

References
J. P. May. The Geometry of Iterated Loop Spaces. 1972.
Iek Moerdijk, Bertrand Toen. Simplicial Methods for Operads and Algebraic Geometry. 2010. 

♦Here ends paper.

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Distance Theory Algebraically Supplemented Brane Simplified Model 3 S3 and Hoph Map


Distance Theory Algebraically Supplemented
Brane Simplified Model <Continuation of Escalator Language Theory>


3
S3 and Hoph Map

TANAKA Akio

1
From RS model, <distance> and <word value> are abstracted.
Refer to the next.
Distance Theory Algebraically Supplemented / 2 Distance / Tokyo October 26, 2007
2
<Line segment>s from <Minus side> to <plus side> at <distance> and <word value> are both seemed as circle S1.
3
3-dimensional sphere S3 = { ( x1, y1, x2, y2 ) | x12 + x22 + y12 + y22 = 1 }
Point of S3     ( x1, y1, x2, y2 )
( x1, y1 ) ≠ ( 0, 0 )     π ( x1, y1, x2, y2 ) = ( x2 + i y2 ) / ( x1 + i y1 ) ∈ C
( x1, y1 ) = ( 0, 0 )    π ( x1, y1, x2, y2 ) = ∞
Hopf map π : S3 → Riemann Sphere, C ∪ {∞} 
Inverse image of a point p     π -1 (p) is S1.
Hoph map is fiber bundle that derived from fiber S1.
On fiber bundle, refer to the next.
Symmetry Flow Language / Leaf of Language / Tokyo May 11, 2007
4
Now <line segment > at <distance> is identificated as S1.
Two points a ( xa, ya ), b (xb, yb ) at Gauss plane is objected to Riemann sphere.
At Riemann Sphere, two points a, b is marked by a’ ( x’a, y’a ), b’ (x’b, y’b ) .
On Riemann sphere, refer to the next.
Symmetry Flow Language / Simplex, Simplicial Complex and polyhedron / Tokyo May 17, 2007
Symmetry Flow Language / Meaning Variation and Time Shift in word as Homotogy / Tokyo May 17, 2007
Point of S3 is marked by ( x’a, y’a , x’b, y’b ) .
On S3, refer to the next.
Symmetry Flow Language 2 / Time Shift of Meaning in Moduli Space / Tokyo May 23, 2007
5
<Line segment> at <word value> is also marked on S3.
6
<Distance> and <word value> are algebraically considered by S3.

Tokyo November 12, 2007

Sekinan Research Field of Language

www.sekinan.org
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Distance Theory Algebraically Supplemented Brane Simplified Model 2 Distance



Distance Theory Algebraically Supplemented
Brane Simplified Model <Continuation of Escalator Language Theory>

2
Distance
Direct Succession of Distance Theory

TANAKA Akio

1
Metric model of 5-dimensional spacetime is expressed below from Randall and Sundrum (1999). <RS model>
ds2 = e2U(y)ηmndxmdxn + dy2
Branes exist at y = 0 and y = d.
Our world is regarded as brane y = 0.
U(y) is called <warp factor>.
2
Using <orientifold> of circle ( radius R )’s identification, y is expressed by <line segment> that scales from 0 to ±πR.   
Distance is defined in <line segment>.
According to <line segment>, <warp factor> of <RS model> is measured in bulk spacetime of 5 dimensional Anti-deSitter space.
3
Distance in <line segment> is expressed from <y = –πR> to <y = 0> and from <y = 0> to <y = +πR>.
Now “from <y = –πR> to <y = 0>” is called <minus side> and “from <y = 0> to <y = +πR>” is called <plus side>.
Values of <warp factor> are same at <minus side> and <plus side>.
4
In <Distance Theory Algebraically Supplemented> (abbreviation; DTAS), word is regarded by <warp factor>’s value.


5
Word has distance at <minus side> and <plus side>.
6
Now distance at <plus side> is called distance of <real language> and distance at <minus side> is called distance of <mirror language>.

[References]
<Quantum Theory for Language Map>
2.1.3 Distance Theory
2.1.4 Reversion Theory
2.2.1 Prague Theory
2.3  Warp Theory
2.4  Time Theory
4.3.1 Guarantee of Language
4.3.2 Place where Quantum of Language Exists
4.3.3 Actual Language and Imaginary Language
4.5.1 Mirror Language
4.5.2 Mirror Theory
<Aurora Theory>
[AT11] Distance and Time  Language Multi-Time Conjecture 3  5th Time for KARCEVSKIJ
<Aurora Time Theory>
[ATT3] Enlarged Distance Theory
[ATT4] Opened Time and Closed Time
<Algebraic Linguistics Linguistic Result>
1 Deep Fissure between Word and Sentence
2 From Cut and Glue Dimension to Krull Dimension  8th For KARCEVSKIJ Sergej

Tokyo October 26, 2007
Sekinan Research Field of Language
www.sekinan.org
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Distance Theory Algebraically Supplemented Brane Simplified Model 1 Bend


Distance Theory Algebraically Supplemented
Brane Simplified Model <Continuation of Escalator Language Theory>


1
Bend

TANAKA Akio

1
Language is expressed by< a pair of quanta> that consists of <quantum> and <anti-quantum>.
2
Quantum and anti-quantum have reverse direction.
3
Quantum and anti-quantum are in the shape of strings that are separated parallel longitude L apart.
4
Quantum and anti-quantum are in <AdS5 ( 5-dimensional anti-deSitter ) space>.
5
Left side of quantum and anti-quantum is on <D3 brane>.
6
Quantum starts from ra in AdS5 space and returns rb in AdS5 space.
ra and rb are equal longitude from D3 brane.
7
<Classical solution> of D3 brane in AdS5 space gives quantum and anti-quantum <a line of string> bending near r = 0 that is the location of D3 brane.
Quantum’s nearest point to D3 brane is rz.
rz’ is 1/2 of the longitude from ra to rb.
Sketch is below.


8
At the paper Spacetime Symmetry and Escalator Brane in Escalator Language Theory, language goes from ra to rz and in reverse movement to rb.
9
At the paper Actual Language and Imaginary Language, <real language> is from ra to rz and <imaginary language> is from rz to rb.
10
We see real language that is upper side of rz-rz’. Imaginary language is hidden under side of rz-rz’ in our life.
11
At the paper Mirror Language, imaginary language is mirror language of real language.
12
Distance of language is regarded as the longitude from ra ( or rb ) to D3 brane in AdS5 space. 

[Reference]
Escalator Language Theory / 2 Turning Point of Time / Tokyo December 22, 2006

Tokyo October 17, 2007

Sekinan Research Field of Language

www.sekinan.org
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