Supersurface and Language Nested Cube, Nested Torus and Cut-Tube-Ring -Toward Homology Group-

Supersurface and Language

Nested Cube, Nested Torus and Cut-Tube-Ring

-Toward Homology Group-

TANAKA Akio

A

1 Language has substantiality.

Refer to the following paper.

Quantum Language   Substantiality of Language   Tokyo   February 21, 2006

2 Language is expressed by cube. Developing cube is expressed by nested cube.

Refer to the following paper.

Cube Theory   Dimension   Tokyo   March 22, 2006

3 Language is also expressed by torus. Developing torus is expressed by nested torus.

Refer to the following paper.

Nested Torus Theory   Nested Torus Theory   Tokyo   May 27, 2006

4 Cube is transformed to tube-ring. Developing tube ring is expressed by cut-tube-ring.

Refer to the following paper.

Tube-Ring Theory   Cut and Glue   Tokyo   July 7, 2006

5 Nested situations of cube, torus and tube-ring contain time dimension. The dimension expresses freedom.

Refer to the following paper.

Tube-Ring Theory   Freedom and String   Hinoemata   July 16, 2006

6 Language’ structure that is succeeded from substantiality to freedom is concerned with KARCEVSKIJ’s themeDu dualisme asymétrique du signe linguistique.

Refer to the following subject.

For KARCEVSKIJ Sergej   Origination of Quantum Linguistics

B

7 Nested cube is an orthogonal objection of 4 dimensional supercube. viewpoint (0, 0, 0, h)   h=∞   screen w   w = [-1, 1]

8 Nested torus is a point objection of 3 dimensional supertorus.

9 Cut-tube-ring has not nested situation. Cut-tube-ring has free from dimensional variation. Cut-tube-ring is an invariant.

Refer to the following paper.

Quantum Semantics   Topological Tolerance   Tokyo   June 7, 2006

10 Language has a linguistic universal.

Refer to the following paper.

Tube-Ring Theory   True and False –Hierarchy of Language-   Tokyo   July 28, 2006

11 Linguistic universals is probably an inevitable theme of CHINO Eiichi in the work.

Refer to the following subject.

For CHINO Eiichi   A Time of Linguistics Tokyo

C

12 Cut of cut-tube-ring is concerned with Charn-Simons Invariant for the ring’s solidity.

Refer to the following paper.

Tube-Ring Theory   Clockwise Language and Anticlockwise Language -On Linguistic Universals-   Tokyo July 31, 2006

13 Linguistic unversals will be examined from topological invariant.

14 Topological invariant is concerned with homology group, especially 3 dimensinal hyperbolic space.

Tokyo August 12, 2006

Sekinan Research Field of Language

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