Mathematical description of a quantum system

Franco Strocchi

Þorsteinn Jónsson

Tal Hendel

Abstract Panmicropsychism is the hypothesis that the physical ultimates of our universe (i.e., its fundamental physical ingredients) are also its phenomenal ultimates (i.e., its fundamental phenomenal ingredients). In this paper, I argue that, just as the mathematical description of the physical ultimates of our universe displays simplicity, symmetry, and beauty, panmicropsychists should similarly expect the mathematical description of the phenomenal ultimates to reflect these same qualities. I exemplify this claim using what is arguably the simplest of all types of phenomenal qualities – color. Specifically, I utilize phenomenological data on color to construct the maximally symmetric mathematical description of phenomenal color space. I then show that this mathematical description is isomorphic to the mathematical description of two-state quantum systems (qubits) in a mixed state. Based on this isomorphism, I suggest that color may be the phenomenal dual aspect of two-state quantum systems.

Franco Strocchi

Mathematical Description of a Physical System Mathematical Description of a Quantum System The Quantum Particle Quantum Dynamics. The Schrodinger Equation Examples Quantum Mechanics and Stochastic Processes.