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?