Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness

Details Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness

2003-11-17

arxiv.org/abs/gr-qc/0311055v3

Mod.Phys.Lett. A19 (2004) 1829-1840

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages. Replaced version with corrected fundamental solution, missing m's (mass) and c's (speed of light) added and referenc

Scientific paper

10.1142/S0217732304015026

Contrary to what is often stated, a fundamental spacetime discreteness need not contradict Lorentz invariance. A causal set's discreteness is in fact locally Lorentz invariant, and we recall the reasons why. For illustration, we introduce a phenomenological model of massive particles propagating in a Minkowski spacetime which arises from an underlying causal set. The particles undergo a Lorentz invariant diffusion in phase space, and we speculate on whether this could have any bearing on the origin of high energy cosmic rays.

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