Distance Theory Algebraically Supplemented Brane Simplified Model 2 Distance

31/08/2015 11:57
Brane Simplified Model <Continuation of Escalator Language Theory>
 
2
Distance
Direct Succession of Distance Theory
 
 
1
Metric model of 5-dimensional spacetime is expressed below from Randall and Sundrum (1999). <RS model>
ds2 = e2U(y)ηmndxmdxn + dy2
Branes exist at y = 0 and y = d.
Our world is regarded as brane y = 0.
U(y) is called <warp factor>.
2
Using <orientifold> of circle ( radius R )’s identification, y is expressed by <line segment> that scales from 0 to ±πR.   
Distance is defined in <line segment>.
According to <line segment>, <warp factor> of <RS model> is measured in bulk spacetime of 5 dimensional Anti-deSitter space.
3
Distance in <line segment> is expressed from <y = –πR> to <y = 0> and from <y = 0> to <y = +πR>.
Now “from <y = –πR> to <y = 0>” is called <minus side> and “from <y = 0> to <y = +πR>” is called <plus side>.
Values of <warp factor> are same at <minus side> and <plus side>.
4
In <Distance Theory Algebraically Supplemented> (abbreviation; DTAS), word is regarded by <warp factor>’s value.

 
5
Word has distance at <minus side> and <plus side>.
6
Now distance at <plus side> is called distance of <real language> and distance at <minus side> is called distance of <mirror language>.
 
[References]
2.3  Warp Theory
2.4  Time Theory
 
Tokyo October 26, 2007

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