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Possibly even right

Possibly even right. Noncommutative Geometry and the real world. According to some strings are not even wrong. They are at best a mathematical theory without any possibly verifiable connection with the real world Are we like them or can we be wrong? Can we be right?

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Possibly even right

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  1. Possibly even right Noncommutative Geometry and the real world

  2. According to some strings are not even wrong • They are at best a mathematical theory without any possibly verifiable connection with the real world • Are we like them or can we be wrong? • Can we be right? • What do I mean by Noncommutative Geometry?

  3. Where do we come from? • Quantum Mechanics (Heisenberg, Dirac, Von Neumann Moyal) • Mathematics (Gel’fand, Connes) • Strings (Frohlich, Seiberg, Witten) • Quantum Field Theory- Structure of space time at Planck lenght (Doplicher, Fredhenagen, Wess….)

  4. Where can we go? • Mathematics • There have been lots of successes in mathematics • This is a noble activity, and apart that it may create problems with funding agencies I see nothing wrong in doing it • Or we may do physics

  5. Connes’ standard model • It is nor really noncommutative, the structure of spacetime is unchanged • It makes predictions testable at LHC

  6. Κ-Minkowski • It is an Hopf Algebra with a rich structure • It has non trivial dispersion relations • They could help explain some astronomical observations of γ ray burst • The dispersion relations depend on the basis!

  7. Moyal Plane • Consider θ as a background tensor • Most of the effects are a consequance of Lorentz non invariance • Accelerator experiments (Trampetic, Ohl) • Cosmology. Inflation makes a huge amplification of short distance effects (up to 10^13 GeV at Planck)

  8. Θ-Poincaré • We still have a (deformed) Lorentz Invariance • We can study deformations of Gravity (al et Wess) • Spin Statistics

  9. Are we mature enough to make predictions?

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