1 Escalator brane is smooth and continuously differentiable. (ELT1/3)
2 Escalator brane has 4 dimensional spacetime that is projective from a sphere. [ELT1/16]
3 The sphere is measurable. [ELT1/23]
4 Objected time makes a line that is called time-line, abbreviated to TL. [ELT3/16-25]
5 TL has infinity in the compact sphere. [ELT3/27]
6 Parallel translations from the sphere’s surface to NP-SP axis make multi-dimensional universe. [ELT3/23’s interpretation]
7 The brane has smooth bend at a particular point. [ELT4/13]
8 Time on the brane has visibility and invisibility. [ELT4/14-15]
9 The brane’s twist makes spacetime symmetry. [ELT5/8-13]
10 The brane is connected by monopole that transcends brane’s surface. [ELT5/12’s interpretation]
11 Monopole has the power that identifies two points of the brane. [ELT5/Conjecture from 12]
12 Escalator language theory’s basis is on complex number field and complex projective space. The field and space has already been foreseen by PENROSE Roger. [Mathematical Problem for the 20th and 21 st Centuries from Mathematics: Frontiers and Perspective 2000]
13 If monopole has curvature, there will need new foresight, e.g. by PENROSE Roger. [Non-Linear gravitons and curved twistor theory 1976]
14 Time shall be seen from quantized situation. “If time have end, there can be described by every instant” [CALVINO Itaro “PALOMAR” 1983]
<Bibliography>
Tokyo January 30, 2007
Postscript
[Reference February 16, 2008]
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