A
1 Language is a substance that has expansion and time.
2 Language is changeable.
3 Changeability gives KARCEVSKIJ’s hypothesis effectiveness.
4 Expansion is changeable.
5 Expansion is expressed by set.
6 Set has neighborhood.
7 Word is a subset of language.
8 Time is changeable.
9 Language has time evolution.
10 Language’s time is expressed by Heisenberg picture or Schrödinger picture or Dirac picture.
11 I choose Schrödinger picture for the present.
B
12 Language consists of element.
13 Element is a quantum or quanta.
14 Quanta is generally in entangled situation.
15 Language’s physical state is given by Born’s probability rule.
C
16 Expansion and time are expressed by complex number.
17 Complex number is putted on Gauss’ plane.
18 Gauss’ plane is topologically transformed.
D
19 Torus is chosen for topologically transformed Gauss’ plane.
20 Torus surface is expressed by two coordinates.
21 Torus’ surface is finite.
22 Language is finite.
23 Expansion is finite.
24 Time is finite.
E
25 Torus is expressed by differential equation system.
26 Language is expressed by differential equation system.
F
28 Circumference is given by torus’ vertical cut.
29 A circumference is a language’s phenomenon at a time.
30 Set on a circumference is expressed by finite lineation.
31 Lineation is a succession of quanta.
31 Lineation is called word.
G
32 Language is manifold.
33 Word is submanifold.
H
34 Two lineations, namely two words, make one finite surface on torus.
35 Surface is called sentence.
I
36 Another language makes another plane.
37 Two plane are piled up.
38 Two plane are topologically transformed to nested torus.
39 Multi-languages, namely multi-planes, make multiplex nested torus.
40 Nested torus is called galaxy.
41 Galaxy has one center.
42 Coordinate system is defined by center.
J
43 Multi-galaxies make universe.
Tokyo June 5, 2006
Sekinan Research Field of Language
www.sekinan.org
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