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

A Super-Poincaré Metaplectic 'Euler Derivation' Of Closed String Action In Curved Space-Time

All the measurements in the world do not balance one theorem by which the science of eternal truths is actually advanced. March 14, 1824. On Mathematics. As quoted in Carl Friedrich Gauss: Titan of Science (1955) by Guy Waldo Dunnington. p. 360.

I last showed how one can use the Källén–Lehmann spectral representation of the Clifford algebra corresponding to the tangent bundle of the D-3 brane's 4-D world-volume to get: