1 Word has variation of meaning in accordance with time shift in space.
Refer to the following papers.
Language and Spacetime Structure of Word Tokyo April 6, 2007
Language and Spacetime Description of Meaning Tokyo April 16, 2007
Language and Spacetime Shift of Time Tokyo April 20, 2007
Symmetry Flow Language Meaning Variation and Time Shift in Word as Homotopy Tokyo May 17, 2007
2 Space that is deformed successively is described by parameter that is called moduli.
3 Set M consists of all of moduli.
4 Moduli space M (M) is presented for variation of word’s meaning.
5 Parameter t is presented for time shift of meaning in word.
6 Calabi-Yau manifold K has two moduli that are deformation of complex structure and Kähler manifold. Moduli have symmetry that is called Mirror symmetry.
7 K’s Ricci tensor is the following.
Rij¯ = 0 i is regular coordinate. j¯ is non-regular coordinate.
Refer to the following paper.
8 Replaced two moduli in Calabi-Yau manifold K is called reflection Calabi-Yau manifold K~.
Refer to the following paper.
Mirror Language Tokyo June 10, 2006
9 In K, Kähler manifold, n-dimensional toric manifold Pn is presented.
Complex torus of Kähler’s form ω described by polar coordinates is the following.
ω = ∑i dzi ∧ dz⁻i = ∑i d|zi|2 ∧ dθi
P1 with line bundle’s direct sum becomes resolved conifold.
10 Conifold’s toric graph has line segment that has the longitude | z1 |2+ | z2 |2 = r. r is parameter of conifold.
11 Parameter r becomes parameter t that is described as complex.
12 Resolved conifold that has parameter t = 0 and is deformed becomes deformed conifold that has S3.
13 Parameter t of deformed conifold S3 means time of word’s meaning variation in language.
14 Deformed conifold S3 means word in language.
15 P1× P1 becomes square that is connected by world sheets.
16 P1× P1 means sentence in language.
Refer to the following paper.
Cube Theory Structure of Cube Tokyo March 25, 2006
Cube Theory Cube Word Hakuba April 1, 2006
Tokyo May 23, 2007
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