Palatial Twistors from Quantum Inhomogeneous Conformal Symmetries and Twistorial DSR Algebras

We construct recently introduced palatial NC twistors by considering the pair of conjugated (Born-dual) twist-deformed D=4 quantum inhomogeneous conformal Hopf algebras U?(su(2,2)?T4) and U?¯(su(2,2)?T¯4), where T4 describes complex twistor coordinates T¯4 dual momenta. The are suitably chosen as quantum-covariant modules (NC representations) Born-dual algebras. Subsequently, we introduce deformations Heisenberg-conformal algebra (HCA) su(2,2)?H?4,4 (H?4,4=T¯4??T4 is Heisenberg twistorial oscillators) providing in framework basic covariant elementary system. class describing deformation HCA with dimensionfull parameter, linked Planck length ?p, called DSR (TDSR) algebra, following terminology space-time framework. describe examples TDSR Palatial which Drinfeld twist quantization map H?4,4. also generalized phase space double U?(su(2,2)?T4).