Relative Locality and gravity in quantum spacetime
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1 DOTTORATO DI RICERCA IN FISICA XXV CICLO Relative Locality and gravity in quantum spacetime Candidate: Loret Niccolò Advisor: Giovanni Amelino-Camelia 25 October 2012
2 THEORY PHENOMENOLOGY EQUATIONS OF STATE & NEWTONIAN POTENTIAL LORENTZ BREAKDOWN OR DEFORMATION? & RADIATED POWER
3 THEORY PHENOMENOLOGY RELATIVE LOCALITY EQUATIONS OF STATE & κ-poincare' HOPF ALGEBRA FORMALIZATION NEWTONIAN POTENTIAL LORENTZ BREAKDOWN OR DEFORMATION? DSR & RADIATED POWER
4 THEORY PHENOMENOLOGY RELATIVE LOCALITY κ-poincare' HOPF ALGEBRA FORMALIZATION RAINBOW METRICS EQUATIONS OF STATE & NEWTONIAN POTENTIAL LORENTZ BREAKDOWN OR DEFORMATION? DSR & RADIATED POWER
5 QUANTUM-GRAVITY PHENOMENOLOGY MODIFIED DISPERSION RELATION UV IR
6 QUANTUM-GRAVITY PHENOMENOLOGY MODIFIED DISPERSION RELATION UV EFFECTS MAGNIFIERS -We expect quantum gravity effects to be of the order of IR -We need amplification mechanisms, such as long distances
7 (IR) NEWTONIAN POTENTIAL IR-DEFORMED NEWTONIAN POTENTIAL
8 (UV) WHITE DWARFS
9 (UV) WHITE DWARFS FERMI MOMENTUM PAULI PRESSURE
10 (UV) T.O.V. EQUATIONS
11 (UV) T.O.V. EQUATIONS THE PROBLEM IS HERE!!
12 FERMILAB 1979 (raw data) FERMILAB 2007 OPERA COLLABORATION 2012 UNE DÉPÊCHE MODE
13 UNE DÉPÊCHE MODE SUPERLUMINAL NEUTRINO FERMILAB 1979 (raw data) FERMILAB 2007 OPERA COLLABORATION 2012
14 UNE DÉPÊCHE MODE SUPERLUMINAL NEUTRINO SPONTANEOUS NEUTRINO PAIR PRODUCTION FERMILAB 1979 (raw data) FERMILAB 2007 OPERA COLLABORATION 2012
15 LORENTZ SYMMETRY BREAKDOWN DEFORMED ON-SHELL RELATION UNDEFORMED LORENTZ TRANSFORMATIONS
16 LORENTZ SYMMETRY BREAKDOWN DEFORMED ON-SHELL RELATION UNDEFORMED LORENTZ TRANSFORMATIONS β PARAMETER
17 LORENTZ SYMMETRY BREAKDOWN DEFORMED ON-SHELL RELATION UNDEFORMED LORENTZ TRANSFORMATIONS β PARAMETER VELOCITY
18 κ-poincare' κ-minkowski QUANTUM SPACETIME DEFORMED ALGEBRA RELATIONS
19 κ-poincare' κ-minkowski QUANTUM SPACETIME DEFORMED ALGEBRA RELATIONS BOOST ACTION
20 κ-poincare' κ-minkowski QUANTUM SPACETIME DEFORMED ALGEBRA RELATIONS BOOST ACTION CASIMIR OPERATOR
21 LORENTZ SYMMETRY DEFORMATION DEFORMED ON-SHELL RELATION DEFORMED LORENTZ TRANSFORMATIONS
22 LORENTZ SYMMETRY DEFORMATION DEFORMED ON-SHELL RELATION DEFORMED LORENTZ TRANSFORMATIONS β PARAMETER VELOCITY
23 SYNCHROTRON RADIATED POWER
24 SYNCHROTRON RADIATED POWER BREAKDOWN
25 SYNCHROTRON RADIATED POWER BREAKDOWN DEFORMATION
26 RELATIVE LOCALITY LIMIT
27 RELATIVE LOCALITY LIMIT WE STILL HAVE A DEFORMED MOMENTUM SPACE AT BUT NO WEIRD PLANCK LENGTH EFFECTS RELATED TO SPACETIME QUANTIZATION
28 RELATIVE LOCALITY LIMIT WE STILL HAVE A DEFORMED MOMENTUM SPACE AT BUT NO WEIRD PLANCK LENGTH EFFECTS RELATED TO SPACETIME QUANTIZATION SPACETIME IS AN INFERENCE THAT WE BUILD ON MOMENTUM SPACE
29 Κ-POINCARE' (AGAIN) NON TRIVIAL COPRODUCT
30 Κ-POINCARE' (AGAIN) NON TRIVIAL COPRODUCT DEFORMED SYMPLECTIC SECTOR
31 Κ-POINCARE' (AGAIN) NON TRIVIAL COPRODUCT DEFORMED SYMPLECTIC SECTOR DEFORMED CASIMIR OPERATOR
32 WHAT ABOUT BOB? WORDLINES
33 WHAT ABOUT BOB? WORDLINES
34 WHAT ABOUT BOB? WORDLINES
35 MOMENTUM-DEPENDENT COORDINATES TRANSFORMATIONS ARE NOW CLASSICAL:
36 MOMENTUM-DEPENDENT COORDINATES TRANSFORMATIONS ARE NOW CLASSICAL:
37 TRANSVERSE RELATIVE LOCALITY
38 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 spacetime he is in
39 MOMENTUM-DEPENDENT METRICS
40 MOMENTUM-DEPENDENT METRICS IN THE MINKOWSKIAN LIMIT:
41 MOMENTUM-DEPENDENT METRICS IN THE MINKOWSKIAN LIMIT: EQUIVALENCE BETWEEN Momentum-dependent metrics and momentum-dependent coordinates
42 WORDLINES (AGAIN) WE OBTAIN THE SAME WORDLINES
43 WORDLINES (AGAIN) WE OBTAIN THE SAME WORDLINES AND THE SAME TIME DELAY EFFECT
44 SUMMARY - MDR-Deformed Newtonian potential - Planck-scale effects in Chandrasekhar and TOV model - Lorentz symmetry breakdown/deformation and synchrotron radiated power -Longitudinal and transverse Relative Locality -Rainbow metrics FURTHER DEVELOPEMENTS - Interaction vertices - Curved spacetimes
45 REFERENCES G. Amelino-Camelia, N. Loret, G. Mandanici, F. Mercati, Int.J.Mod.Phys. D19 (2010) G. Amelino-Camelia, N. Loret, G. Mandanici, F. Mercati, Int J. Mod. Phys. D 19, (2010). G. Amelino-Camelia, N. Loret, G. Rosati, Phys. Lett. B 700, (2011). G. Amelino-Camelia, G. Gubitosi, N. Loret, F. Mercati, G. Rosati, P. Lipari, Int.J.Mod.Phys. D20 (2011) G. Amelino-Camelia, L. Barcaroli, N. Loret, Int. J. Theor. Phys. 51 (2012) G. Amelino-Camelia, G. Gubitosi, N. Loret, F. Mercati, G.Rosati, Europhys.Lett. 99 (2012) G. Amelino-Camelia, N. Loret, G. Mandanici, F. Mercati, Int.J.Mod.Phys. D21 (2012)
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