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Friday, 16 May 2025

Subdivision

Subdivision

 

TANAKA Akio

 

1

Self-generation of <language world> consists of <growth> and <subdivision>.

2

<Growth> and <subdivision> are controlled by the movement of <quantum>.

3

<Growth> occurs at the connection and sending of <quantum>. Refer to Growth.*

4

<Subdivision> occurs in the situation and movement of <quantum>.

5

<Growth> and <subdivision> is a basis of changeability of language.

6

<Frame> of <language world> is fixed.

7

<Quantum> of <language world> moves in <system> and consequently generates new <frame> and adds to old <frame>.

It is called <broad frame> on the whole. The abbreviation is <BF>.

8

<Broad frame> consists of <word> of old <frame> and <sentence> of new <frame>.

9

New <frame> which consists of <sentence> takes priority over old <frame> on picking up <ideogram> from <frame>.

<Pick up> is an important concept of <automaton> which is mentioned later in another paper.

10

For instance, /cell/ in English <frame> is originally meant to [a store closet-1583] quoting from SOE 1956.

Later it is meant to [the ultimate element in organic structures-1672].

Now it is used to /cell phone/ which is explained to [portable telephone operated by cellular radio] quoting from Collins 2004.

11

Each <ideogram> in <frame> is fixed and not changeable. But new <sentence> accumulates on <ideogram> in old <frame>.

When <ideogram> is picked up, new <sentence> is at first adopted as <quantum>.

12

This adopting <ideogram> from new <frame> influenced to the valuation of <quantum> in <system>.

13

All <frame> are fixed, but <quantum> in <system> is constantly changing for new correlative valuation being added to <broad frame>.

14

Constant change of <quantum> is called <subdivision>, because <word> of <language world> seems to subdivide by appearance.

15

Valuation of <quantum> is founded on the distance from coordinate axes. Refer to Distance TheoryReversion TheoryGrammar and Definition.

** Especially Grammar is mainly developed the concept of distance from the point of coordinate axes. *** Definition is a summary of the papers. ****

16

Movement of <quantum> now seems to be required as the warp of <language world> from our real <world>.  Refer to Warp Theory. *****

17

<Warp> participates in the determination of <quantum>’s situation and is the cause of <small drift> and <big drift> in Quantum Theory for Language.

18

<Warp> should be vectorized and expressed numerally for concrete mapping toward on <system>.

19

Movement of <quantum> and <small drift> are integratively expressed by differential equation of <quantum>’s <warp>.

20

<Sentence> should be expressed by integral equation of <quantum>’s movement which is given from <reversion> of <warp>.

21

<Warp> is a root of Frame-Quantum Theory.

 

[Referential papers]

Growth

** Distance Theory, Reversion Theory

*** Grammar

**** Definition

***** Warp Theory

 

Tokyo April 10, 2005

Sekinan Research Field of Language

www.sekinan.org

 

Postscript

[Reference February 10, 2008]

Kac-Moody Lie Algebra / Conjecture 1 / Finiteness in Infinity on Language / Tokyo February 10, 2008

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