**Spacetime Symmetry and Escalator Brane**

1 There gives a brane that has the form of alphabet U. The brane is called escalator brane.

2 The brane has been twisted alike Möbius-like belt.

3 There is spacetime on the brane.

4 Spacetime is expressed by function F(x, t) that has parameter x and t.

5 The brane that has spacetime is called worldvolume.

6 In worldvolume, 2 dimensional one is called worldsheet and 1dimensional one is called worldline.

7 The brane that has U-formed Möbius-like belt is given as orientable surface.

8 There gives oriented point A that is expressed by function F(x, t) at the previous -U-formed brane.

9 There gives reversely oriented point B that is expressed by function F (-x, -t) at the after-U-formed brane.

10 Here gives a connection from point A to Point B.

11 The connection that gives same property to point A and point B is called monopole.

12 Monopole simultaneously satisfies function F(x, t) and function F (-x, -t).

13 The brane satisfies spacetime symmetry.

**Tokyo January 28, 2007**

**Postscript**

**[Reference February 16, 2008]**

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