Thursday 14 January 2016

Aurora Time Theory Imaginary Time and Imaginary Space From HAWKING Stephen

Aurora Time Theory
Imaginary Time and Imaginary Space
From HAWKING Stephen

TANAKA Akio

1.
Language is expressed by word, phrase and sentence in Aurora Theory, abbreviated to AT.
Refer to the following paper.
Aurora Theory   Word, Phrase and Sentence   Tokyo   October 25, 2006

2.
Dictoron reaches Riemann sphere that has the radius r1 of 1 by the time t1 from the origin of coordinates.
Riemann sphere is expressed by x2 + y2 + z2 = 1.
Here c is light velocity, r1 = c t1 = 1.
Refer to the following paper.
Aurora Theory   Dictoron <Quantum and Trace>   For FINKELSTEIN David    Tokyo   September 17, 2006

3.
Dictoron has distance that is abbreviated to ds.
In Aurora Theory, phrase is expressed on Riemann sphere by dictoron’s radiation from coordinate’s origin.
Phrase takes shape when ds = 1.
Phrase does not take shape when ds < 1 or ds > 1.

4.
Now in Aurora Time Theory, abbreviated to ATT, 4 dimensional sphere that has the radius 1 is expressed by x2 + y2 + z2 + t2 = 1.
Here t is time dimension.

5.
In ATT, phrase takes shape when ds = 1 and phrase does not take shape when ds < 1 or ds > 1.

6.
In ATT, t2 = 1 – (x2 + y2 + z2).
When x2 + y2 + z2 > 1, t2< 0.
t becomes imaginary number.
7.
In AT and ATT, word is expressed on complex plane and phrase is expressed on the sphere. ds has real number 1.

8.
In ATT, t is expressed by 1/c. Here c is light velocity. So t be imaginary number, the expression is i/c.

9.
4 dimensional coordinates in ATT, when t is expressed by i, the sphere is expressed by x2 + y2 + z2 = 2.

10.
In ATT, when ds = 1 and the sphere is x2 + y2 + z2 = 2, dictoron is in the sphere. So phrase does not make shape.

11. 
Dictoron in ATT has magnitude by the definition that is expressed by ds.
When t is imaginary unit i, remained magnitude to the destination for phrase is 1.

12.
If be imaginary unit inon-existential space that is measured by remained magnitude 1 is to be existent.

13.
When t is imaginary number, now verified imaginary unit iis called imaginary time.

14.
Imaginary time makes <should-not-be-existent-but-logically demanded> space in the ATT’s sphere.
The space is called imaginary space.


Tokyo November 11, 2006
Sekinan Research Field of Language

Read more: http://srfl-paper.webnode.com/products/aurora-time-theory-imaginary-time-and-imaginary-space-from-hawking-stephen/

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