ABSTRACT
A general formulation of classical relativistic particle mechanics is
presented with an emphasis on the fact that superluminal velocities
and nonlocal interactions are compatible with relativity. Then a
manifestly relativistic-covariant formulation of relativistic quantum
mechanics (QM) of a fixed number of particles (with orwithout spin)
is presented, based onmany-timewave functions and the space-time
probabilistic interpretation. These results are used to formulate
the Bohmian interpretation of relativistic QM in a manifestly
relativistic-covariant form. The results are also generalized to
quantum field theory (QFT), where quantum states are represented
by wave functions, depending on an infinite number of space-
time coordinates. The corresponding Bohmian interpretation of QFT
describes an infinite number of particle trajectories. Even though
the particle trajectories are continuous, the appearance of creation
and destruction of a finite number of particles results from the
quantum theory of measurements describing entanglement with
particle detectors.
