 97217 Luis GonzalezMestres
 Vacuum structure, Lorentz symmetry and superluminal particles (I)
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Apr 14, 97

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Abstract. If textbook Lorentz invariance is actually
a property of the equations describing a sector
of the excitations of vacuum above some critical distance scale,
several sectors of matter with different
critical speeds in vacuum can coexist and an absolute rest frame
(the vacuum rest frame) may exist
without contradicting the apparent Lorentz invariance felt by
"ordinary" particles (particles with critical speed in vacuum
equal to $c$ , the speed of light). The sectorial Lorentz
symmetry may be only a lowenergy limit, in the same way as the
relation $\omega $ (frequency) = $c_s$ (speed of sound) $k$
(wave vector) holds for lowenergy phonons in a crystal.
We study the consequences of such a scenario, using an ansatz
inspired by the Bravais lattice as a model for some vacuum
properties. It then turns out that: a) the GreisenZatsepinKuzmin
cutoff on highenergy cosmic protons and nuclei does no longer apply;
b) highmomentum unstable particles have longer lifetimes than
expected with exact Lorentz invariance, and may even become stable
at the highest observed cosmic ray energies or slightly above. Some
cosmological implications of superluminal particles are also discussed.
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97217.tex