  The Moyal-Weyl quantization procedure is embedded into the twist formalism of
vector fields on phase space. Double application of twists provide most general
deformations of Minkowskian Heisenberg-algebras and corresponding quantizations
of the Lorentz-algebra. Such deformations deliver high-energy extensions of
standard relativistic quantum mechanics. These are required to obtain minimal
uncertainty properties for high-energy spacetime measurements that standard
quantum mechanics lacks. The procedure of double twist application is outlined.
We give an instructive and genuine example.
