 9792 Luis GonzalezMestres
 Space, time and superluminal particles
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Feb 23, 97

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Abstract. If textbook Lorentz invariance is actually
a property of the equations describing a sector
of matter 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, possibly related to the local rest frame of the expanding Universe)
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 real geometry of spacetime will then be different
from standard Lorentz invariance, and the Poincare relativity principle
will be a local (in space and time), approximate sectorial property.
It seems natural to assume that particles with critical speed in vacuum
different from c are superluminal.
We illustrate such a scenario using as an example a spinorial spacetime where
the modulus of the spinor, associated to the time variable, is the size of
an expanding Universe. Several properties of superluminal particles,
and of matter without a universal relativity principle, are
discussed in view of experimental applications. If the vacuum rest frame is
close to that suggested by the cosmic microwave background, experimental
searches for superluminal particles on earth should mainly contemplate a
laboratory speed range around 10E3 c , even for very high energy
superluminal cosmic rays. The detectability of several consequences of
the new scenario is briefly discussed.
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