No Eddie, you are wrong. You obviously have no comprehension of string theory, and you, as usual, are wrong. Let me pontificate.


The given identification identifies 00 with 2\pi R2πR. All points xx between 00 and 2\pi R2πR are identified with points with magnitude larger than 2\pi R2πR. The identification has made the real line periodic with period 2\pi R2πR. One can think of this as identifying the interval [0,2\pi R)[0,2πR) with the circumference of the circle of radius 11.

In this case, the compact space S^1S 1 is found by taking the quotient of the non-compact space \mathbb{R}R by the discrete symmetry group \mathbb{Z}Z, the group of integers. This corresponds to the fact that points shifted by integer multiples of 2\pi R2πR are identified.

David Snyder
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