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Quantum gravity (QG) theories over the past fifty years have sought tounderstand the relationship between the four fundamental interactions. A majorinsight gained in this area is that all interactions could possibly unify atPlanck-scale energies ~10$^{19}$ GeV. A potential consequence of theunification of gravity with the other three interactions would be a breaking ofLorentz symmetry at Planck-scale energies. The interpretation of Time-of-flight(TOF) measurements from gamma-ray telescopes have been able to put constraintson the energy scales of the Lorentz-invariance violations (LIV). The Crabpulsar, the only pulsar detected at very high energies (VHE, E > 100 GeV)presents a unique opportunity to put new constraints on LIV. Presented here arethe results of observations of the Crab pulsar with VERITAS and statisticalmethods to determine limits of LIV effects from energy-dependent timingdifferences.

Lorentz Invariance Violation Limits from the Crab Pulsar using VERITAS