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.
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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]
2.1.3 Distance Theory
2.1.4 Reversion Theory
2.2.1 Prague Theory
2.3 Warp Theory
2.4 Time Theory
4.3.1 Guarantee of Language
4.5.1 Mirror Language
4.5.2 Mirror Theory
[ATT3] Enlarged Distance Theory
[ATT4] Opened Time and Closed Time
Tokyo October 26, 2007
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