A new formulation of relativistic quantum mechanics is proposed in the
framework of the rest-frame instant form of dynamics with its instantaneous
Wigner 3-spaces and with its description of the particle world-lines by means
of derived non-canonical predictive coordinates. In it we quantize the frozen
Jacobi data of the non-local 4-center of mass and the Wigner-covariant relative
variables in an abstract (frame-independent) internal space whose existence is
implied by Wigner-covariance. The formalism takes care of the properties of
both relativistic bound states and scattering ones. There is a natural solution
to the \textit{relativistic localization problem}. The non-relativistic limit
leads to standard quantum mechanics but with a frozen Hamilton-Jacobi
description of the center of mass. Due to the \textit{non-locality} of the
Poincar\'e generators the resulting theory of relativistic entanglement is both
\textit{kinematically non-local and spatially non-separable}: these properties,
absent in the non-relativistic limit, throw a different light on the
interpretation of the non-relativistic quantum non-locality and of its impact
on foundational problems.Comment: 73 pages, includes revision