1 / 10

XI School of Cosmology 17-22 September IESC, Cargese

Translations in Relative Locality. Niccolò Loret with Giovanni Amelino-Camelia and Leonardo Barcaroli Università “La Sapienza” Roma. XI School of Cosmology 17-22 September IESC, Cargese. THE LOCALIZATION PROBLEM. PLANCK LENGTH. κ -MINKOWSKI. κ -POINCARE'.

april
Download Presentation

XI School of Cosmology 17-22 September IESC, Cargese

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Translations in Relative Locality Niccolò Loret with Giovanni Amelino-Camelia and Leonardo Barcaroli Università “La Sapienza” Roma XI School of Cosmology 17-22 September IESC, Cargese

  2. THE LOCALIZATION PROBLEM PLANCK LENGTH κ-MINKOWSKI

  3. κ-POINCARE' DEFORMED TRANSLATION GENERATORS COALGEBRIC SECTOR DEFORMED SIMPLETIC SECTOR

  4. BRONSTEIN-ZELMANOV-OKUN CUBE 1/c General Relativity Special Relativity LOOPS Quantum Field Theory STRINGS Quantum Gravity BLACK HOLE THERMOD. Newtonian Gravity Galilean Relativity Quantum Mechanics Chandrasekhar Regime

  5. RELATIVE LOCALITY LIMIT WE STILL HAVE A DEFORMED MOMENTUM SPACE AT BUT NO WEIRD PLANCK LENGTH EFFECTS RELATED TO SPACETIME QUANTIZATION DINSTANT NONLOCALITIES - What we really see in our telescopes and particle detectors are quanta arriving at different angles with different momenta and energies. - As naive observers looking out at the world, and no less as particle physicists and astronomers, we are basically ”calorimeters” with clocks SPACETIME IS AN INFERENCE THAT WE BUILD ON MOMENTUM SPACE

  6. CURVED MOMENTUM SPACE SPACETIME TRANSLATIONS AS THE ACTION OF TOTAL MOMENTUM ON COORDINATES WE CAN EXPRESS NONLOCALITIES AS SOME SORT OF CURVATURE OF MOMENTUM SPACE:

  7. WORDLINES IN RELATIVE LOCALITY MOMENTUM-DEPENDENT COORDINATES

  8. RAINBOW METRICS CAN WE FORMALIZE SUCH EFFECTS INTO A METRIC? - We notice that a pointlike observer has to perform a translation in order to study the shape of the spacetime he is in IN THE MINKOWSKIAN LIMIT FROM κ-POINCARE' MODEL WE OBTAIN:

  9. PHENOMENOLOGY ? FOCUSING IN THE DE SITTER CASE WE CAN EASELY CALCULATE THE RATIO BETWEEN THE OBSERVED WAVELENGTH IN ALICE AND BOB:

  10. REFERENCES [1] G.Amelino-Camelia, J.Lukierski, A.Nowicki, Act.Phys.Pol. 4, Vol 29 (1998) [2] G.Amelino-Camelia, L.Freidel, J.Kowalski-Glikman, L.Smolin, Phys. Rev. D 84, 084010 (2011) [3] J. Magueijo, L.Smolin, Class. Quantum Grav. 21, 1725 (2004) [4] G.Amelino-Camelia, N.Loret, G.Rosati, Phys. Lett. B 700, 150-156 (2011) [5] G.Amelino-Camelia, N.Loret, G.Mandanici, F.Mercati, Int J. Mod. Phys. D 19, 2385-2392 (2010) [6] G.Amelino-Camelia, N.Loret, L.Barcaroli, in preparation [1]G.Amelino-Camelia, J.Lukierski, A.Nowicki, Act.Phys.Pol. 4, Vol 29 (1998) [2]G.Amelino-Camelia, L.Freidel, J.Kowalski-Glikman, L.Smolin, Phys. Rev. D 84, 084010 (2011) [3]J. Magueijo, L.Smolin, Class. Quantum Grav. 21, 1725 (2004) [4]G.Amelino-Camelia, N.Loret, G.Rosati, Phys. Lett. B 700, 150-156 (2011) [5]G.Amelino-Camelia, N.Loret, G.Mandanici, F.Mercati, Int J. Mod. Phys. D 19, 2385-2392 (2010). [6]G.Amelino-Camelia, N.Loret, L.Barcaroli, in preparation

More Related