CONTENTS -- Preface -- Improved Tests of Lorentz and CPT Symmetry using Noble-Gas Masers A . Glenday, D.F. Phillips, and R.L. Walsworth -- 1. Introduction -- 2. Motivation -- 3. 129Xe/3He maser upgrades for Lorentz/CPT tests -- 4. Conclusions -- Acknowledgments -- References -- A Modern Michelson-Morley Experiment using Actively Rotated Optical Resonators S. Herrmann et al. -- 1. Introduction -- 2. The experiment -- 3. Preliminary results -- 4. Outlook -- References -- Rotating Experiments to Test Lorentz Invariance in the Photon Sector M.E. Tobar et al. -- 1. Rotating Cryogenic Sapphire Oscillator Experiment -- 2. Rotating Magnetic Interferometer Experiment -- References -- Lorentz Violation, Electrodynamics, and the Cosmic Microwave Background M. Mewes -- 1. Introduction -- 2. Theory -- 3. CMB -- 4. Results -- Acknowledgments -- References -- High Energy Astrophysical Tests of Lorentz Invariance B. Altschul -- References -- Fundamental Physics Experiments in Space (within ESA) T.J. Sumner -- 1. Motivation -- 2. Enabling Technologies -- 3. Opportunities -- 3.1. LISA Pathfinder -- 3.1.1. Technological Concept -- 3.1.2. Scientific Objectives -- 3.2. LISA -- 3.2.1. Technological Concept -- 3.2.2. Scientific Objectives -- 3.3. GAUGE -- 3.3.1. Technological Concept -- 3.3.2. Scientific Objectives -- References -- The Experimental Foundations of the Dirac Equation C. Lammerzahl -- 1. The Dirac equation -- 2. The generalized Dirac equation -- 2.1. General geometrical structures -- 2.2. Nan-relativistic limit -- 3. Tests of LLI and UFF -- 4. Test of basic principles -- 4.1. Well posedness of Cauchy problem -- 4.2. Locality -- 4.3. The superposition principle -- Acknowledgments -- References -- Perspectives on Lorentz and CPT Violation V. A. Kostelecky' -- 1. Introduction -- 2. Approaches and origins -- 3. Describing Lorentz violation.

3.1. Modified Lorentz transformations -- 3.2 . Modified dispersion laws -- 3.3. Effective field theory and the SME -- 4. Gravity and Lorentz violation -- 5. The search for signals -- Acknowledgments -- References -- Search for Lorentz and CPT Violation Effects in Muon Spin Precession B.L. Roberts -- 1. Introduction -- 2. Experiment E821 at the BNL AGS -- Acknowledgments -- References -- Lorentz Violation in a Diffeomorphism-Invariant Theory R. Jackiw -- 1. Gauge Theory Preliminary -- 2. Diffeomorphism Invariant Gravity Theory -- 3. Reprise -- Acknowledgments -- References -- Studies of CPT Symmetry with ASACUSA R.S. Hayano -- 1. Introduction -- 2. Weighing the antiproton - the method -- 3. Weighing the antiproton - results -- 4. Outlook -- Acknowledgments -- References -- Neutrino Oscillations and Lorentz Violation with MiniBooNE R. Tayloe and T. Katori -- 1. Neutrino Oscillations, Lorentz Violation, and LSND -- 2. The Tandem Model -- 3. The MiniBooNE Experiment -- 4. Analysis and Results -- References -- Testing Lorentz and CPT Invariance with MINOS Near Detector Neutrinos B.J. Rebel and S.L. Mufson -- 1. Introduction -- 2. Data Sample -- 3. Results -- 4. Future Work -- References -- Einstein-ather Gravity: Theory and Observational Constraints T. Jacobson -- 1. Introduction -- 2. Newtonian and post-Newtonian limits -- 3. Homogeneous isotropic cosmology -- 4. Linearized wave modes -- 5. Primordial perturbations -- 6. Radiation damping and strong self-field effects -- 7. Spherically symmetric stars and black holes -- 8. Special values of c -- ? -- 9. Conclusion -- Acknowledgments -- References -- Tests of Lorentz-Invariance Violation in Neutrino Oscillations K. Whisnant -- 1. Introduction -- 2. Neutrino oscillations in the generalized bicycle model -- 2.1. Eflective Hamiltonian -- 2.2. Atmospheric and long-baseline neutrinos -- 2.3. Solar neutrinos.

2.4. Adding a direction independent term -- 3. More general Lorentz-violating models -- References -- Search for CPT Violation in Neutral Kaons at KLOE: Status and Perspectives A . Di Domenico et al. -- 1. Introduction -- 2. CPT symmetry tests with Ks + ev decays -- 3. CPT test from unitarity -- 4. Decoherence and CPT tests using Kaon interferometry -- 5. CPT and Lorentz symmetry breaking -- 5.1. Measurement of ao at KLOE -- 5.2. Measurement of a2 at KLOE -- 5.3. Measurement of ax, ay at KLOE -- 6. Conclusions and future plans -- Acknowledgments -- References -- Search for CPT Violation in Bo-Bo Oscillations with BABAR D.P. Stoker -- 1. Introduction -- 2. Search using Inclusive Dilepton Events -- 3. Search using Reconstructed CP and Flavor Eigenstates -- Acknowledgments -- References -- Theoretical Topics in Spacetime-Symmetry Violations R. Lehnert -- 1. Introduction -- 2. Emergence of the MCS model in supergravity cosmology -- 3. Symmetry counting in the MCS model -- 4. Vacuum Cherenkov radiation in the MCS model -- References -- A Second-Generation Co-Magnetometer for Testing Fundamental Symmetries S. J. Smullin et al. -- 1. Introduction -- 2. Thermal Effects and Beam Motion -- 3. CPT-II Design and Characterization -- 3.1. Optics -- 3.2. Oven -- 3.3. Bell Jar -- 3.4. Rotation -- 4. Upcoming Challenges -- Acknowledgments -- References -- Nambu-Goldstone and Massive Modes in Gravitational Theories with Spontaneous Lorentz Breaking R. Bluhm -- 1. Introduction -- 2. Spontaneous Lorentz Breaking -- 3. Nambu-Goldstone Modes -- 4. Gravitational Higgs Mechanisms -- 5 . Bumblebee Models -- Acknowledgments -- References -- The ALPHA Antihydrogen Experiment N . Madsen et al. -- 1. Introduction -- 2. The ALPHA Apparatus -- 3. Antihydrogen Formation Alternatives -- 4. Recent Results -- 4.1. Particle survival in octupole fields.

4.2. Mixing in low magnetic fields -- 5. Summary and Outlook -- Acknowledgments -- References -- Atom Interferometry Tests the Isotropy of Post-Newtonian Gravity H. Muller et al. -- 1. Introduction -- 2. Experiment -- 3. Analysis -- Acknowledgments -- References -- Probing Lorentz Symmetry with Gravitationally Coupled Matter J.D. Tasson -- 1. Introduction -- 2. Relativistic Theory -- 3. Non-relativistic Theory -- 4. Classical Theory -- 5. Experimental Tests -- References -- Torsion Balance Test of Preferred-Frame and Weak Coupling to Polarized Electrons B.R. Heckel et al. -- 1. Introduction -- 2. Rotating Torsion Balance Apparatus -- 3. Spin pendulum -- 4. Data and Analysis -- 4.1. Laboratory-fixed signals -- 4.2. Astronomically modulated signals -- Acknowledgments -- References -- Seeking a Solution of the Pioneer Anomaly M.M. Nieto and J.D. Anderson -- 1. The Pioneer Missions and their Navigation -- 2. The Anomaly is Observed -- 3. Proposed Origins of the Anomaly -- 4. Possibilities for Progress -- 5. Conclusion -- Acknowledgments -- References -- Testing Lorentz Symmetry with Gravity Q.G. Bailey -- 1. Introduction -- 2. Theory -- 3. Lunar laser ranging -- 4. Gyroscope experiment -- 5. Binary pulsars -- 6. Other tests -- References -- Preferred Frame Effects in Relativistic Binary Pulsars M. Kramer and N. Wex -- 1. Introduction -- 2. Testing Preferred-Frame Effects in Binary Pulsars -- 3. A PFE Timing Model -- 4. The Double Pulsar -- 5. Summary and Conclusions -- Acknowledgments -- References -- APOLLO: Next Generation Lunar Laser Ranging T. W. Murphy, Jr. et al. -- 1. Overview -- 2. APOLLO Project Status -- 3. Conclusion -- References -- Constraints on Lorentz Violation from Gravity Probe B J. M. Overduin -- Acknowledgments -- References.

Preliminary Results from a Test of CPT and Lorentz Symmetry using a K-3He Co-magnetometer T. W. Kornack, G. Vasilakis, and M. V. Rornalis -- References -- Constraining Quantum Gravity with GLAST F. Kuehn, R. Hughes, and B. Winer -- 1. Introduction -- 1.1. The GLAST experiment -- 1.2. Gamma Ray Bursts and Quantum Gravity -- 2. LAT Onboard detection and followup observations -- 3. Theoretical motivation -- 4. Current bounds -- 5. Current LAT sensitivity estimate -- 5.1. Analysis methodology -- 5.2. Other GLAST LAT analysis -- 6. Discussion -- References -- Renormalization of Lorentz-Violating Theories D. Anselmi -- References -- Renormalization of Gauge Theories with Lorentz Violation D. Colladay and P. McDonald -- 1. Introduction -- 2. Notations and Conventions -- 3. One-Loop Calculations -- 4. Beta Functions -- 5. Summary -- References -- A POEM-Based Test of the WEP using a Sounding Rocket (SR-POEM) R.D. Reasenberg and J.D. Phillips -- References -- Testing Alternative Oscillation Scenarios with Atmospheric Neutrinos using AMANDA-I1 Data from 2000 to 2003 J. Ahrens and J.L. Kelley -- 1. Introduction and detector description -- 2. Phenomenology of standard and alternative neutrino oscillations -- 3. Data selection and analysis method -- 4. Results and Outlook -- References -- Measurement of the Ground-State Hyperfine Splitting of Antihydrogen B. Juhasz and E. Widmann -- 1. Introduction -- 2. Proposed experimental method -- 3. Monte Carlo simulations -- Acknowledgments -- References -- Spontaneous Lorentz Violation and Baryogenesis J . Shu -- 1. Introduction -- 2. Baryogenesis in the presence of Lorentz violation -- 3. Present-day constraints on Lorentz violation -- 4. Sources of Lorentz violation -- 5. Conclusion -- References -- Lorentz Invariance Tested with Fast Optical Ion Clocks in a Storage Ring G. Gwinner et al. -- 1. Introduction.

2. Experiment.