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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.
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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.
Tokyo February 12, 2006
Sekinan Research Field of Language
www.sekinan.org
Sekinan Research Field of Language
www.sekinan.org
[Postscript March 14, 2008]
† On <frame and transmission>, refer to the next.
Quantum Language / Frame and Transmission / For Quantum Language Machine 3 / Tokyo February 26, 2006
†† On the theme of this paper, more details are below.
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