XI School of Cosmology17-22 September IESC, CargeseTranslations in Relative LocalityNiccol Loret

with Giovanni Amelino-Camelia and Leonardo Barcaroli

Universit La Sapienza Roma

THE LOCALIZATION PROBLEM-MINKOWSKIPLANCK LENGTH

-POINCARE'DEFORMED TRANSLATION GENERATORSCOALGEBRIC SECTORDEFORMED SIMPLETIC SECTOR

1/cQuantum MechanicsGalilean RelativityQuantum Field TheorySpecial RelativityGeneral RelativityNewtonian GravityChandrasekhar RegimeQuantum GravityLOOPSSTRINGSBLACKHOLETHERMOD.BRONSTEIN-ZELMANOV-OKUN CUBE

RELATIVE LOCALITY LIMITWE STILL HAVE A DEFORMED MOMENTUM SPACE ATBUT NO WEIRD PLANCK LENGTH EFFECTS RELATED TO SPACETIME QUANTIZATIONDINSTANT 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 clocksSPACETIME IS AN INFERENCE THAT WE BUILD ON MOMENTUM SPACE

CURVED MOMENTUM SPACESPACETIME TRANSLATIONS AS THE ACTION OF TOTAL MOMENTUM ON COORDINATESWE CAN EXPRESS NONLOCALITIES AS SOME SORT OF CURVATURE OF MOMENTUM SPACE:

WORDLINES IN RELATIVE LOCALITYMOMENTUM-DEPENDENT COORDINATES

RAINBOW METRICSCAN 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 inIN THE MINKOWSKIAN LIMIT FROM -POINCARE' MODEL WE OBTAIN:

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

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