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A generalized twistor transform for spinning particles in 3+1 dimensions isconstructed that beautifully unifies many types of spinning systems by mappingthem to the same twistor, thus predicting an infinite set of duality relationsamong spinning systems with different Hamiltonians. Usual 1T-physics is notequipped to explain the duality relationships and unification between thesesystems. We use 2T-physics in 4+2 dimensions to uncover new properties oftwistors, and expect that our approach will prove to be useful for practicalapplications as well as for a deeper understanding of fundamental physics.Unexpected structures for a new description of spinning particles emerge. Aunifying symmetry SU(2,3) that includes conformal symmetry SU(2,2)=SO(4,2) inthe massless case, turns out to be a fundamental property underlying thedualities of a large set of spinning systems, including those that occur inhigh spin theories. This may lead to new forms of string theory backgrounds aswell as to new methods for studying various corners of M theory. In this paperwe present the main concepts, and in a companion paper we give other details.

Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless