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

## TL;DR

This paper introduces a generalized twistor transform for spinning particles in 3+1 dimensions, revealing dualities and unifying various spinning systems through 2T-physics and a new symmetry structure, with potential implications for string theory and M theory.

## Contribution

It develops a novel twistor-based framework using 2T-physics to unify and reveal dualities among spinning particles, extending the understanding beyond free and massless cases.

## Key findings

- Unifies many spinning systems via a common twistor.
- Discovers a new symmetry SU(2,3) underlying dualities.
- Suggests implications for string theory and M theory.

## Abstract

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1T-physics is not equipped to explain the duality relationships and unification between these systems. We use 2T-physics in 4+2 dimensions to uncover new properties of twistors, and expect that our approach will prove to be useful for practical applications as well as for a deeper understanding of fundamental physics. Unexpected structures for a new description of spinning particles emerge. A unifying symmetry SU(2,3) that includes conformal symmetry SU(2,2)=SO(4,2) in the massless case, turns out to be a fundamental property underlying the dualities of a large set of spinning systems, including those that occur in high spin theories. This may lead to new forms of string theory backgrounds as well as to new methods for studying various corners of M theory. In this paper we present the main concepts, and in a companion paper we give other details.