CONTENTS -- Preface -- Some Anomalies Related to Spontaneous Symmetry Breaking Y. Nambu -- 1. Nielsen anomaly -- 2. Breaking of Lorentz Symmetries -- 3. Quasiparticles as classical objectsd -- 4. Speculative Remarks -- Acknowledgment. -- References -- Tests of CPT and Lorentz Symmetry using Hydrogen and Noble-Gas Masers R. L. Walsworth -- 1. Introduction -- 2. Motivation -- 3. 129Xe/3He maser test of CPT and Lorentz symmetry -- 4. Hydrogen maser test of CPT and Lorentz symmetry -- 5. Conclusions -- Acknowledgments -- References -- New Tests of Lorentz Invariance in the Photon Sector using Precision Oscillators and Interferometers M.E. Tobar et al. -- 1. Introduction -- 2. Ongoing experiments with cryogenic sapphire oscillators at the Paris Observatory -- 3. New high precision rotating experiment at UWA -- 4. Proposals to improve limits on odd parity and scalar parameters of the SME -- Acknowledgments -- References -- Lorentz Violation and Neutrinos M. Mewes -- 1. Introduction -- 2. Framework -- 3. Features -- 4. Illustrative models -- 4.1. Fried-chicken models -- 4.2. Vector models -- 4.3. The bicycle model -- 5. Short baseline experiments -- References -- ATHENA - First Production of Cold Antihydrogen and Beyond A. Kellerbauer et al. -- 1. Introduction -- 2. Setup and principle -- 3. Recent results -- 3.1. Antihydrogen production 2002/2003 -- 3.2. Recombination process -- 4. Antihydrogen spectroscopy within the framework of the Standard-Model Extension -- 5. Conclusions and outlook -- Acknowledgments -- References -- The Physics of Generalized Maxwell Equations C. Lammerzahl and H. Miiller -- 1. Introduction -- 1.1. Methods of phenomenological generalizations of dynamical equations -- 1.2. Comparison with kinematical test theories for Lorentz invariance -- 2. The generalized Maxwell equations -- 3. Radiation effects -- 4. Electromagnetostatics.

References -- Operation of the K-3He Self-Compensating Co-Magnetometer for a Test of Lorentz Symmetry T. W. Kornack and M. V. Romalis -- 1. Introduction -- 2. The K-3He co-magnetometer -- 2.1. The K magnetometer -- 2.2. Coupled spin ensembles -- 3. Experimental implementation -- 3.1. Co-magnetometer setup -- 3.2. Zeroing Fields and Lightshifts -- 3.3. Calibrating the co-magnetometer -- 3.4. Suppressing systematic effects -- 4. Gyroscopic effects -- 5. Long term data analysis -- 6. Conclusions -- Acknowledgements -- References -- Lorentz Violation and Gravity V.A. Kostelecky -- 1. Introduction -- 2. Framework -- 3. Spontaneous and Explicit Lorentz Violation -- 4. Low-Energy Effective Action -- 5. Summary -- Acknowledgments -- References -- Short-Range Tests of the Gravitational Inverse-Square Law E.G. Adelberger -- 1. Motivations -- 2. Results -- 3. Upcoming Eot-Wash Group results -- Acknowledgments -- Testing CPT Conservation using Atmospheric Neutrinos M.D. Messier -- 1. Atmospheric Neutrinos -- 2. The Super-Kamiokande detector -- 3. Atmospheric neutrinos in Super-Kamiokande -- 4. Fits to CPT violating models -- 4.1. Allowing different parameters for neutrinos and antineutrinos -- 4.2. Deviations from L/E behavior -- 4.3. Bicycle Model -- 5. Summary -- Acknowledgments -- References -- New Tests of Lorentz Invariance using Optical Resonators A. Peters et al. -- 1. Introduction -- 2. Experimental setup -- 3. Data analysis and results -- 4. Next generation experiments -- Acknowledgments -- References -- Atomic Clocks on Earth and in Space for Tests of Fundamental Physics and Navigation K. Gibble -- 1. Introduction -- 2. Precise Interplanetary Navigation -- 3. Direct measurement of scattering phase shifts -- Acknowledgments -- References -- Spacetime Symmetries and Varying Scalars R. Lehnert -- 1. Introduction -- 2. General arguments.

3. Specific cosmological model -- 4. Effects in the scalar sector -- 5. Effects in the scalar-coupled sector -- 6. Summary -- Acknowledgments -- References -- Gravity Probe B: Launch and Initialization G.M. Keiser et al. -- 1. Introduction -- 2. Gravity Probe B Payload and Satellite -- 3. Initial On-Orbit Operations -- Acknowledgments -- References -- Asymptotically Free Lorentz-Violating Field Theories B. Altschul -- References -- Torsion-Balance Test of Lorentz-Symmetry Violation B.R. Heckel -- 1. Introduction -- 2. The Spin Pendulum -- 3. Torsion Balance Apparatus -- 4. Data and Analysis -- 5. Results for Lorentz Symmetry Violation -- Acknowledgments -- References -- QED Tests of Lorentz Symmetry R. Bluhm -- 1. Introduction -- 2. QED Sector of the SME -- 3. Photon Experiments -- 4. Atomic Experiments -- 4.1. Penning-Trap Experiments -- 4.2. Clock-Comparison Experiments -- 4.3. Hydrogen-Antihydrogen Experiments -- 4.4. Spin-Polarized Matter -- 4.5. Muon Experiments -- 5. Conclusions -- References -- Lorentz and CPT Violation with LSND T. Katori and R. Tayloe -- 1. The LSND signal for Neutrino Oscillations -- 2. Short-Baseline Approximation -- 3. Sidereal Time Distribution of the LSND Data -- 4. Fits to Determine Allowed Values of SME Parameters -- 5. Conclusions -- References -- Neutrino Oscillations as Probes of New Physics C. Pena Garay -- 1. Three-Neutrino Oscillations -- 2. Constraints on non-standard interactions -- 3. Constraints on CPT Violation -- 3.1. Direct Constraints on CPT Violation -- 3.2. Constraints on Lorentz Violation -- Acknowledgments -- References -- BaBar Tests of Lorentz and CPT Symmetry F. Martinez-Vidal -- 1. Introduction -- 2. Quark-flavor oscillations in the B0 system -- 3. Sidereal-time modulation of CPT-violating effects -- 4. The experimental setup -- 5. Results with fully reconstructed B decays.

6. Sensitivity to CPT-breaking sidereal-time modulation -- 7. Summary -- References -- Ultra-Sensitive Speedometer using Nonlinear Effects of Optical Pumping B.T.H. Varcoe -- 1. Introduction -- 2. Fresnel Drag -- 3. Slow Light -- 4. The Experiment -- 5. Conclusion -- Acknowledgment -- References -- An Improved Test of Relativistic Time Dilation with Fast Stored Ions G. Gwinner et al. -- 1. Tests of Special Relativity and Kinematic Test Theories -- 2. Time Dilation via the Relativistic Doppler Effect -- 3. The Heidelberg Storage Ring Experiment -- 3.1. New Developments -- 3.2. The Future: Faster Ions -- 4. New Theoretical Developments: Sensitivity to the Lorentz Violating Standard-Model Extension -- Acknowledgments -- References -- Prospects for Improved Lorentz-Violation Measurements using Cryogenic Resonators J.A. Nissen et al. -- 1. Introduction -- 2. Background -- 3. Ground Based Measurements -- 4. Space Based Measurements -- Acknowledgments -- References -- Quantum Gravity Induced Granularity of Spacetime and Lorentz Invariance Violation D. Sudarsky -- 1. Introduction -- 2. Overview of Loop Quantum Gravity -- 3. Effects of Preferential Frame Granularity on the Propagation of Free Matter Fields -- 4. Effects of interactions -- 5. Conclusion -- Acknowledgments -- References -- Vacuum Cerenkov Radiation in Maxwell-Chern-Simons Electrodynamics R. Lehnert and R. Potting -- 1. The Cerenkov effect in the MCS model -- 2. Conditions for the emission of Cerenkov radiation -- 3. Calculation of the emission rate -- 4. Back reaction on the charge -- 5. Phase space estimate -- 6. Conclusions -- References -- Weighing the Antiproton using Antiprotonic Helium Atoms and Ions R.S. Hayano -- 1. Introduction -- 2. Antiprotonic helium atoms -- 3. Laser spectroscopy -- 4. Discovery of metastable antiprotonic helium ions -- 5. Future prospects -- Acknowledgments.

References -- Electrophobic Lorentz Invariance Violation for Neutrinos and the See-Saw Mechanism S.F. King -- 1. Introduction -- 2. CPT violation in the right-handed neutrino sector -- 3. Electrophobic LIV in the Right-Handed Neutrino Sector -- Constraints from CHOOZ/Palo Verde: -- Constraints from the KamLAND experiment: -- Constraints from the atmospheric neutrino data: -- Constraints from the future long baseline experiments: -- Constraints from solar neutrinos: -- Constraints from supernova neutrinosr -- Constraints using the time of flight delay technique: -- 4. Conclusion -- References -- The Bounds on Lorentz and CPT Violating Parameters in the Higgs Sector I. Turan -- 1. Introduction -- 2. The minimal Standard-Model Extension -- 3. The CPT-even coefficients -- 3.1. The CPT-even antisymmetric coefficients -- 3.2. Redefinitions and the symmetric coefficients -- 4. The CPT-odd coefficient -- Acknowledgments -- References -- Macroscopic Matter in Lorentz Tests H. Muller and C. Lammerzahl -- 1. Introduction -- 2. Lorentz violation in the photon sector -- Non-Lagrangian terms -- 3. Lorentz violation in the electron sector -- 4. Applications and Outlook -- Acknowledgments -- References -- Tests of Lorentz Invariance and CPT Conservation using MINOS B. J. Rebel and S.F. Mufson -- 1. Introduction -- 2. Model for Oscillations due to Lorentz Invariance Violation and CPT Violation -- 3. Tests of the Model -- 3.1. Atmospheric Neutrinos -- 3.2. Beam Neutrinos -- 4. Conclusions -- Acknowledgments -- References -- An SME Analysis of Doppler-Effect Experiments C.D. Lane -- 1. Introduction -- 2. Basics -- 3. SME Predictions -- 4. Comments on Transitions -- 5. Summary -- References -- Nonrelativistic Ideal Gases and Lorentz Violations D. Colladay and P. McDonald -- 1. Introduction -- 2. Notation and Framework -- 3. Single particle systems -- 4. Classical gas.

5. Quantum Gas - Fermions.