Minnowbrook Symposium
Ali Chamseddine
Noncommutative Geometry and the Spectral Action

The relevance of noncommutative geometry to physical problems is reveiwed. Examples of noncommutative spaces such as those appearing in the standard model and string theory are given. The spectral action principle for noncommutative spaces is proposed. It is shown that when this principle is applied to the standard model, internal symmetries are merged with space-time symmetry unifying gravity with the other forces.

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