Pulsars are the most accurate naturally occurring clocks, and data about them can be used to set bounds on neutron-sector Lorentz violations. If SO(3) rotation symmetry is completely broken for neutrons, then pulsars' rotation speeds will vary periodically. Pulsar timing data limits the relevant Lorentz-violating coefficients to be smaller than 1.7 × 10 −8 at at least 90% confidence.
baltschu@indiana.eduSince the discovery that Lorentz symmetry could be broken spontaneously in string theory [1], there has been a great deal of interest in the study of Lorentz violation. Besides string theory, many other candidate theories of quantum gravity also predict Lorentz violation, at least in certain regimes. If Lorentz violations were observed experimentally, they would be of tremendous importance, potentially telling us a great deal about Planck scale physics. Experimental searches for Lorentz violation have thus far failed to produce any positive results. These searches have included studies of matter-antimatter asymmetries for trapped charged particles [2,3,4,5] and bound state systems [6,7], determinations of muon properties [8,9], analyses of the behavior of spin-polarized matter [10,11], frequency standard comparisons [12,13,14,15], Michelson-Morley experiments with cryogenic resonators [16,17], Doppler effect measurements [18,19], measurements of neutral meson oscillations [20,21,22,23], polarization measurements on the light from distant galaxies [24,25,26,27], analyses of the radiation emitted by energetic astrophysical sources [28,29], and others.Although the work by Kostelecký and Samuel on string theory [1] has been a major impetus for the study of Lorentz violation in the last ten years, there are also other situations in which Lorentz violation is a possibility. While there is no experimental evidence for Lorentz violation yet, there are numerous theoretical reasons to believe that Lorentz violation may be possible. A Lorentz-and CPT-violating effective field theory, the standard model extension (SME), has been developed in detail [30,31,32], to give a general effective field theory parameterization of all possible forms of Lorentz violation. The SME framework is useful because it does not tie us to any particular underlying mechanism for Lorentz symmetry breaking. Many basic issues in the SME, including stability and causality [33] and one-loop renormalization [34,35], have been examined. The SME contains coefficients parameterizing all possible Lorentz violations. The experiments mentioned above have placed very tight constraints on some of these coefficients; however, the bounds of many of the SME coefficients are still somewhat muddled, and some of the coefficients have not been bounded at all.Some of the most accurate tests of Lorentz invariance are clock comparison experiments. Today's atomic clocks are extremely accurate, and this makes them wonderful tools for making precision measurements. On the other hand, the most accurate naturally occurring clocks are pulsars, and it is natural to ask ...