  The significance of the de Broglie-Bohm hidden-particle position in the
relativistic regime is addressed, seeking connection to the (orthodox)
single-particle Newton-Wigner position. The effect of non-positive excursions
of the ensemble density for extreme cases of positive-energy waves is easily
computed using an integral of the equations of motion developed here for free
spin-0 particles in 1+1 dimensions and is interpreted in terms of virtual-like
pair creation and annihilation beneath the Compton wavelength. A Bohmtheoretic
description of the acausal explosion of a specific Newton-Wigner-localized
state is presented in detail. The presence of virtual pairs found is
interpreted as the Bohm picture of the spatial extension beyond single point
particles proposed in the 1960s as to why space-like hyperplane dependence of
the Newton-Wigner wavefunctions may be needed to achieve Lorentz covariance.
For spin-1/2 particles the convective current is speculatively utilized for
achieving parity with the spin-0 theory. The spin-0 improper quantum potential
is generalized to an improper stress tensor for spin-1/2 particles.
