Unitary space of particle internal states

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Abstract
A relativistic theory of particle internal properties is developed. Suppressing space-time information, internal wave functions and observables are constructed in a 3-dimensional complex space. The quantum numbers of a spinning point particle in this unitary space correspond with those of a low-mass hadron. Unitary-space physics is linked with space-time notions via the Penrose theory of twistors, where new flavors may be represented by many-twistor systems. It is shown here that a four-twistor particle fits into the unitary-space picture as a system of two points with equal masses and oppositely pointing unitary spins. Quantum states fall into the ISU(3) irreducible representations discovered by Sparling and the author. Full details of the computation involving SU(3) recoupling techniques are given.

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