We define a class of Lorentz-invariant Bohmian quantum models for N entangl
ed but noninteracting Dirac particles. Lorentz invariance is achieved for t
hese models through the incorporation of an additional dynamical space-time
structure provided by a foliation of space time. These models can be regar
ded as the extension of Bohm's model for N Dirac particles, corresponding t
o the foliation into the equal-time hyperplanes for a distinguished Lorentz
frame, to more general foliations. As with Bohm's model, there exists for
these models an equivariant measure on the leaves of the foliation. This ma
kes possible a simple statistical analysis of position correlations analogo
us to the equilibrium analysis for (the nonrelativistic) Bohmian mechanics.
[S1050-2947(99)07910-X].