Why Target Space ≠ Space: The Role Of T-Duality In String Theory In Proving The Inequality

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. ~ G. H. Hardy, A Mathematician’s Apology (London 1941). Quotations by Hardy. Gap.dcs.st-and.ac.uk. Retrieved on 27 November 2013.

First draft, part one. Nick Huggett argues that target space cannot be space … “that observed, ‘phenomenal’ space is not target space, since a space cannot have both a determinate and indeterminate radius:

M-Theory And A Chern-Simons Derivation Of Open String Action Via Kappa-Clifford Analysis


Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere”~ W. S. Anglin

At the end of this post, marvel at the beauty of M-Theory’s action and find out why it really is called ‘M’-theory. In this post, unlike the last one, I will derive the string world-sheet action for open strings, also in curved space-time