1 Language is expressed by word, phrase and sentence in Aurora Theory.
Word is on complex plane.
Phrase is on Riemann sphere.
Sentence is trapezium in Riemann sphere.
Refer to the following paper.
Aurora Theory Word, Phrase and Sentence Tokyo October 25, 2006
2 Surface of Riemann sphere is expressed by x2 + y2 + z2 = 1.
3 Dictoron’s distance from coordinates’ origin after unit time is 1.
After unit time, dictoron that is represented by photon reaches the surface that has distance 1.
Refer to the following paper.
Dictoron, Time and Symmetry Tokyo October 6, 2006
4 Dictoron’s distance is expressed by ct.
c is light velocity. t is time.
ct is 1 after unit time.
x2 + y2 + z2 = (ct) 2
5 Now function F is presented from dictoron’s distance.
Function is expressed by F = (ct) 2 - x2 - y2 - z2.
6 Here F be invariant, F becomes Minkowski space.
F’s invariant is given by interval.
Interval is expressed by generating Riemann sphere’s surface. It is abbreviated to GRSS.
7 GRSS is objected to complex plane by unit circle and its inside.
The circle is on z = -1 plane.
8 Minkowski space is expressed on complex plane containing time dimension.
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