Symmetry of Language

 
Time of WANG Guowei

Symmetry of Language
TANAKA Akio
September 15, 2011

[Preparation]

3 dimensional manifold M

Level of affine Lie ring k

Topological invariant of M Z_k(M)

Manifold having reverse orientation of M -M

<Theorem>

[Inerpretation]

Language is expressed by M.

Parameter of meaning is expressed by k.

Meaning of language is expressed by Z_k(M).

Language has a symmetry　by orientation.

When M is 3 dimensional spherical surface, Z_k (S³) = S₀₀.

Here,

At affine Lie ring level k, characteristic , 

The highest weight set of affine Lie ring's level k P₊(k) ={0, 1, ..., k}

The highest weight of level k λ

The highest weight of level k at infinity η

[Supposition]

If langauge has a symmetry, there is a language's origin that the two orientations are oriented.

If language is 3 dimensional spheric surface, its meaning is 3 dimensional shperical surface with level k, the highest weight 0 and the highest weight at infinity 0.

[Refereneces]

(1)

Distance Theory / Tokyo May 5, 2004

Distance Direct Succession of Distance Theory / Tokyo October 26, 2007

Distance of Word / Tokyo December 9, 2008

(2)

Reversion Theory / Tokyo September 27, 2004

Reversibility of Language / Tokyo june 5, 2009

(3)

<Trilogy>

Mirror Theory / Tokyo June 5, 2004

Mirror Language / Tokyo June 10, 2004

Guarantee of Language / Tokyo June 24, 2004

 The Sekinan Research Field of Language
2011