Monday, 30 April 2018

Quantum Semantics / Trial for Quantum Language / 2006

Quantum Semantics
cf. Topological Semantics
TANAKA Akio 

Trial for Quantum Language

1 Lattice

2 Proclamation of Quantum Semantics

3 Lineation Lattice Plane Pillar

4 Gauss’ Plane

5 Topological Entangled Language

6 Topological Tolerance

7 Fiber Bundle on Language

8 Super Fluidity

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Quantum Linguistics Creation of Meaning Toward Realization of Quantum Language Machine 2


Quantum Linguistics

Creation of Meaning
Toward Realization of Quantum Language Machine 2

TANAKA Akio

A
1 In quantum linguistics, language consists of quanta.
2 Quantum simultaneously has frame and transmission† in folded condition.
3 Frame and transmission correspond to solidity and flexibility of language.
4 Frame is used for entry letters.
5 Transmission is used for description.
6 From physical viewpoint, language consists of quantum bits.
7 One quantum bit expresses folded two conditions. Some conditions are used for frame and the others are for transmission.
8 The remained conditions of folding are used for description.
B
9 One of main theme†† for description is meaning that is, ideally, recognized by quantum itself.
10 For example, 4 quantum bits express 16 folded conditions, namely 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, and 1111.
11 For example, word “be” of natural language, abbreviated to NL, is expressed by quantum bits as following.
12 Word “be” is translated to quantum language’s meaning *existence*. *   * is the notation for meaning of QL.
13 *Existence* is expressed as existence of a set in quantum language machine.
14 Now zero set, expressed by φ, is used for a set of this case. Zero set is defined to {x | x ≠x}. So *existence* is expressed to {φ}.
15 Word “be” is described by 4 quantum bits as following. b0000, e0001, {0010, {0011, x0100, |0101, x0110, ≠0111, x1000, }1001, }1010. Remained conditions are not used immediately.
16 Next, word “not” of natural language is expressed by quantum bits as following.
17 Word “not” is translated to QL *vacancy*.
18 *Vacancy* is expressed toφitself. Bits expression is omitted
19 Words connection “be not” is expressed to {φ}φ. Bits expression is omitted.
20 *Existence* is also means *1* in QL. So *2* is expressed to {φ, 1}. Following numbers are omitted.
21 For example, Sentence of NL, “There is an apple.” is expressed as following ideally. {φ} *apple* {φ}. Here *apple* has not been recognized by QLM.


[Postscript March 14, 2008]
† On <frame and transmission>, refer to the next.
†† On the theme of this paper, more details are below.
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Quantum Linguistics Nature of Quantum Toward Realization of Quantum Language Machine

Quantum Linguistics

Nature of Quantum
Toward Realization of Quantum Language Machine

TANAKA Akio
A
1 Natural-language, natural-word and natural-sentence is the basis of quantum linguistics. These four are abbreviated to NL, NW, NS and QL.
2 Natural-word and natural-sentence have the notations, namely /   / and [   ].
3 Language, Word and sentence are used on quantum linguistics, namely QL.
4 In QL, word is the fundamental of language. Word has a universe that is called word universe, abbreviated to WU.WU is one of growing universes.
5 In QL, sentence is an expanded concept of word.
6 Word and Sentence have the notations, namely //   // and [[   ]].
7 In QL, language consists of quanta.
8 In QL, quantum consists of frame and transmission.
9 In QL, Quantum has physical nature.
10 In QL, the demonstration of the linguistic theory is realized by quantum language machine. The machine is abbreviated to QLM.
B
11 In QLM, language has substantiality.
12 In QLM, word universe, namely WU, fulfills a pivotal role.  
13 In QLM, For instance, NS [I have a book] is transmitted to WU //I//, //have//, //a// and //book//.
14 In QLM, WU //I//, //have//, //a// and //book// is transmitted to sentence that is shown as [[IhaveABook]].
15 NS [I have a book] is solid as frame. WU //I//, //have//, //a// and //book// is flexible as transmission. Sentence [[IhaveABook]] is again solid as frame.
C
16 Language has lineation.
See the paper Lineation March11, 2005.
17 Language has substantiality.
18 Language has fixation.
19 Language has changeability.
20 Language has uniformity.
D
21 Language has vector
See the paper Vector March 21, 2005.
22 Language has propelling energy that afar corresponds with SAPIR’s concept drift.
E
23 Language has grammar. Grammar works in transmission.
Also see the paper Grammar February 28, 2005.
24 Grammar is the connection rule of language.
Also see the next papers.
25 Connection is seemed to be worked by the mechanism in quantum.
See the next trial papers.
26 Connection is a main theme of quantum theory.
See the next trial papers.
F
27 Quantum has the nature of dualism. Dualism is a theoretical theme of KARCEVSKIJ.
See the next trial papers.
28 Dualism is the physical nature of quantum in QLM. Dualism of language will be clearly obtained in quantum mechanics.

G
29 Dualism of language is frame and transmission in QL.
Natural-word of natural-language, namely NW of NL, contains elements of frame and transmission.
30 In quantum gates, rotation gate simultaneously prepares both frame and transmission in QL that simulates NL.
One input of solid word in NL is outputted as two outputs that are solid frame and variable transmission in QL.
One input of solid situation simultaneously prepares both solid duplicability and variable generation in QL.
 In QL, duplicability makes framable dictionary that keeps old concept in NL.
 In QL, generation makes transmissionary word that brings new concept in NL.
31 In quantum gates, all the information is expressed by unitary transformation for quantum calculation.      
32 In rotation gate, separated dictionary and word are again unified to one output.
33 In rotation gate, frame and transmission of QL is shown by situation folded.
34 In quantum gates, controlled NOT gate prepares both input and output as situation folded.
35 In QL, word universe, namely WU, that keeps the situation folded, grows from definite natural-word, namely NW, to infinite WU.
36 Definite NL guarantees infinite QL in substantiality of physical mechanics.

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Quantum Linguistics Growth of Word Dedicated to TAKEUCHI Gaishi


Quantum Linguistics

Growth of Word
Dedicated to TAKEUCHI Gaishi

TANAKA Akio

1 Natural language is a complex of words that are called natural-words in this paper. Natural-word is abbreviated to NW.
2 Natural-words make sentences that are called natural-sentences in the paper. Natural-sentence is called to NS.
3 NW is theoretically made by a set of zero sets. On details see the following papers. 
[On recognition]
[On automaton]
4 Generally NW is finite and NS is infinite. When observing word from the viewpoint of set, word is not necessarily finite. Content of word, namely a set of zero sets, is continuously variable.
5 Continuous expansion of zero sets makes continuous expansion of content of word.
6 Word is a universe that is constantly variable and expansive in set theory.
7 Variability and expansion on word universe make ambiguity between word and sentence.
8 Word universe is a set that contains all the set being existent.
9 Word universe is a logical existence and concurrently a logical contradiction in one hand from general mathematical viewpoint.
10 Word universe probably must be observed from successive, expansive complex of sets.
11 Word universe is called to be a growing existence. This growing universe is actually going over the limitations of a set of all the sets constantly.
12 Word universe will be one of the most important things, being connected with recognition of natural language and automatic language.
13 One of the theoretical embodiment of variability and expansion of word in natural language is Ainu language that is distributed in northern Japan, Hokkaido.
[References]
<On idea of growth>
<More details on word’s structure>

[Postscript August 2, 2008]
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Quantum Linguistics Method of Quantum Linguistics


Quantum Linguistics

Method of Quantum Linguistics

TANAKA Akio

A
1 In quantum linguistics, language consists of a set of quanta.
2 Quantum consists of frame and transmission.
3 Frame has dictionary.
4 Dictionary consists of words.
5 Quantum is divided to frame and transmission by device.
6 Transmission generates sentence by the assistance of grammar that belongs to transmission.
B
7 One quantum carries one word.
8 Word has frame-word and trans-word in it.
8 Frame-word is solid and duplicable condition.
9 Trans-word is flexible and non-duplicable condition. 
10 Frame-word and trans-word are separated by the transmission device.
11 Trans-word generates sentence.
12 Sentence is flexible and non-duplicable condition. 
13 Sentence is stored as frame-sentence by frame device.
14 Frame-sentence is solid and duplicable condition.
15 Frame-sentence is stored in dictionary together with frame-word.
C
16 Quantum has solid and flexible conditions jointly.
17 Quantum has the nature of word in natural language.
18 Solidity and flexibility of word are clearly described by KARCEVSKIJ.
D
19 Quantum has physical nature basically.
20 Quantum works its nature under quantum physics.
21 Quantum linguistics operates natural language as physical substance.
22 Quantum linguistics ideally works under quantum computer.
23 Upper descriptions basically and ideally mean that quantum linguistics needs further examination in details from now.

Refer to the papers on Method and Nature about linguistics or Language below.

Refer to the papers on Substantiality of Language below

For further details on Quantum Theory for Language, see below.

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Quantum Linguistics Quantum Language Machine For the Forth Time to KARCEVSKIJ

Quantum Linguistics

Quantum Language Machine
For the Forth Time to KARCEVSKIJ

TANAKA Akio


1 When intention is inputted to system, sentence is outputted from system. The system is called language machine.
2 Intention is divided to frame and transmission.
3 Frame is expressed by /   /. Transmission is expressed by [   ]. Sentence is expressed by [[    ]].
4 Frame is a name tag or complex of the tags. For instance, /I/ is a frame. /My/, /me/ and /mine/ are also frame under the tag of /I/.
5 Transmission is a variation of tag. For instance, [me] is a transmission of frame /I/.
6 When intention is inputted by the style of name tag, namely /I/, /buy/, /book/ and /yesterday/, machine selects transmission [I], [bought], [a book] and [yesterday]. Output becomes [[I bought a book yesterday]].
7 Quantum carries frame and transmission simultaneously. Differential recognition of the two is done by the phase’s difference of quantum.
8 Quantum takes out frame and transmission as probability of a half by theoretical random bit.
9 For instance, on natural language, word ‘I’ is carried by 4 quanta, namely /I/-[I], /I/-[my], /I/-[me] and /I/-[mine]. The 4 quanta are bundled in one named tag /I/.
10 Intention is generally done by tag’s indication.  
11 Frame is equivalent to dictionary or solidity on natural language.
12 Transmission is equivalent to grammar or flexibility, namely conjugation and declension.
13 Solidity and flexibility on natural language is the kernel concept of KARCEVSKIJ Sergej.
14 Simultaneous carrying of solidity and flexibility indicates identity of the both things from mechanism or construction of natural language.
15 Quantum language machine’s diagram is shown next. Intention-Indication-Frame (Dictionary)-Transmission (Grammar)-Sentence. Quantum Language machine is abbreviated to QLM.
16 Identity of solidity and flexibility on natural language will be on demonstration by QLM.
17 Identity and separativeness in quantum is a new answer to KARCEVSKIJ as mechanism of language.

Refer to the papers on Language Machine below.

Refer to the papers on Robot Language below

Further details on Robot Language, see below.

Tokyo January 23, 2006
Tokyo, January 29, 2006 Revised
Sekinan Research Field of Language
www.sekinan.org
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