1 Language is expressed by lineation and rectangle on Gauss’ plane.
Refer to the following papers.
Quantum Semantics Gauss’ plane Tokyo June 3, 2006
Quantum Semantics Topological Entangled Language Tokyo June 5, 2006
Topological Semantics Definition Tokyo June 5, 2006
Topological Semantics Lineation, Rectangle and Universality Tokyo June 5, 2006
2 Lineation is topologically transformed to circle. Circle belongs to 2 dimensions.
3 Plane is topologically transformed to torus. Torus belongs to 3 dimensions.
4 Now time influences word and sentence to give growth.
5 Lineation and rectangle have thickness owing to time.
6 Rectangle that has thickness becomes to cuboid.
7 Cuboid is topologically transformed to inner vacant torus, namely tube-ring.
8 Here inner wall and outer wall that indicate time’s thickness approach each other.
9 Limit approach of two walls makes ring. Ring belongs to approximate 4 dimensions.
10 Limit ring makes limit approach of starting time and ending time of language.
11 Limit time makes limit space of 4 dimensions.
12 Language that has grown time expresses approximate 4 dimensional space.
13 When outer wall’s vector is expressed by x, y, t, inner wall’s vector is expressed by x, y, -t.
14 Tangent space of limit wall has vector x, y, 0.
15 Limit wall that expresses approximate 4 dimensional space has no time in its space.
16 Limit walls extinguish time dimension from its approximate 4 dimensional space.
Tokyo June 25-26, 2006
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