  Twistors in four dimensions d=4 have provided a convenient description of
massless particles with any spin, and this led to remarkable computational
techniques in Yang-Mills field theory. Recently it was shown that the same d=4
twistor provides also a unified description of an assortment of other particle
dynamical systems, including special examples of massless or massive particles,
relativistic or non-relativistic, interacting or non-interacting, in flat space
or curved spaces. In this paper, using 2T-physics as the primary theory, we
derive the general twistor transform in d-dimensions that applies to all cases,
and show that these more general twistor transforms provide d dimensional
holographic images of an underlying phase space in flat spacetime in d+2
dimensions. Certain parameters, such as mass, parameters of spacetime metric,
and some coupling constants appear as moduli in the holographic image while
projecting from d+2 dimensions to (d-1)+1 dimensions or to twistors. We also
extend the concept of twistors to include the phase space of D-branes, and give
the corresponding twistor transform. The unifying role for the same twistor
that describes an assortment of dynamical systems persists in general including
D-branes. Except for a few special cases in low dimensions that exist in the
literature, our twistors are new.
