Cosmic ray and neutrino tests of special relativity

Abstract Searches for anisotropies due to Earth's motion relative to a preferred frame — modern versions of the Michelson-Morley experiment — provide precise verifications of special relativity. We describe other tests, independent of this motion, that are or can become even more sensitive. The existence of high-energy cosmic rays places strong constraints on Lorentz non-invariance. Furthermore, if the maximum attainable speed of a particle depends on its identity, then neutrinos, even if massless, may exhibit flavor oscillations. Velocity differences far smaller than any previously probed can produce characteristic effects at accelerators and solar neutrino experiments.

[1]  A. Wolfendale,et al.  Highest Energy Cosmic Rays , 1989 .

[2]  Leung,et al.  Can the Sun shed light on neutrino gravitational interactions? , 1991, Physical review letters.

[3]  M. Loreti,et al.  New experimental limits on νμ→νe oscillations , 1986 .

[4]  A. Brillet,et al.  Improved Laser Test of the Isotropy of Space , 1979 .

[5]  Jacobs,et al.  New limits on spatial anisotropy from optically-pumped sup201Hg and 199Hg. , 1986, Physical review letters.

[6]  V. Hughes,et al.  Upper Limit for the Anisotropy of Inertial Mass from Nuclear Resonance Experiments , 1960 .

[7]  Theory and Experiment in Gravitational Physics , 1982 .

[8]  R. Drever.  A search for anisotropy of inertial mass using a free precession technique , 1961 .

[9]  V. Trimble,et al.  Limits on the chirality of interstellar and intergalactic space , 1996 .

[10]  T. Weekes,et al.  The Search for Discrete Astrophysical Sources of Energetic Gamma Radiation , 1993 .

[11]  L. Stodolsky.  The speed of light and the speed of neutrinos , 1988 .

[12]  Wineland,et al.  Limits for spatial anisotropy by use of nuclear-spin-polarized 9Be+ ions. , 1985, Physical review letters.

[13]  Cheng,et al.  Lorentz noninvariance and the Eötvös experiments. , 1985, Physical review. D, Particles and fields.

[14]  M. Longo.  Tests of relativity from SN1987A. , 1987, Physical review. D, Particles and fields.

[15]  Possible violation of the equivalence principle by neutrinos. , 1995, Physical review. D, Particles and fields.

[16]  Gasperini.  Testing the principle of equivalence with neutrino oscillations. , 1988, Physical review. D, Particles and fields.

[17]  Mark P. Haugan,et al.  Modern Tests of Special Relativity , 1987 .

[18]  John P. Ralston,et al.  Indication of Anisotropy in Electromagnetic Propagation over Cosmological Distances , 1997, astro-ph/9704196.