Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro. 2007
1 Language is expressed as structure of spacetime.
2 Spacetime is expressed as manifold.
3 Affine algebraic variety is selected for description of spacetime.
Algebraic variety is pasted together from affine algebraic variety.
Affine algebraic variety is irreducible affine algebraic set.
Affine algebraic set is the set that consists of common zero point of finite polynominal
Polynominal is in n-dimensional complex affine space.
4 Now n-dimensional projective space P n is presented.
C n+1 \ {O} / ~
O is the coordinate’s origin of complex affine space.
~ is mathematical equivalence on elements of set.
5 Projective space P n is covered by n+1 affine space.
6 Now abelian category and derived category are presented.
Abelian category and algebraic variety is placed together.
Derived category is abelian category’s coherent sheaf’s complex that is composition of successive arrows becomes 0.
7 From derived category, distinguished triangle is presented.
8 Here time conjecture of language is presented.
(1)Distinguished triangle makes the model for shift of time on language.
(2)Time on language is closed, successive and circular in word.
Circulation is worked between starting point and ending point of word.
The origin of shift of time is derived from the following.
The concept of time in language is taught from the following.
SAPIR Edward LANGUAGE An Introduction to the Study of Speech Harcout, Brace & Co. Inc
Special thanks to KAWAMATA Yujiro for the mathematical approach on language research, especially from the following.
KAWAMATA Yujiro Daisukikagaku to doraiken Sugaku 58-1, January 2006
Tokyo April 20, 2007
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