Tal Hendel

I show that the mathematical description of opponent-colors theory is identical to the mathematical description of two-state quantum systems in a mixed state. Based on the dual-aspect theory of phenomenal consciousness, which suggests that one or more physical entities in our universe have phenomenal aspects that are dual to their physical aspects and therefore predicts an exact correspondence between a system’s phenomenal states and the objective states of its underlying physical substrate, I hypothesize that color sensations are phenomenal dual aspects of two-state quantum systems in a mixed state. Since nothing in this hypothesis suggests that what brings about the phenomenal experience that is dual to two-state quantum systems is the two-dimensionality of these systems, it is natural to generalize this hypothesis and suggest that other types of phenomenal experience (e.g., taste, odor, sound) are phenomenal dual aspects of quantum systems of higher dimensionalities. Finally, I propose that the two-state quantum systems that give rise to color in the brain are two-state ion-channels.

Hering’s opponent-colors theory suggests that our color sensations are produced by three mechanisms: a red–green mechanism, a yellow–blue mechanism, and a white–black mechanism. The first two mechanisms give rise to our sensations of hued colors; the third mechanism gives rise to our sensations of hueless colors. Noticeably, whereas the pair of colors produced by each of the hued mechanisms do not mix to yield a phenomenal intermediate (i.e., there are no greenish reds, reddish greens, yellowish blues, or bluish yellows), the colors produced by the hueless mechanism, white and black, do have a phenomenal intermediate—gray. This different behavior of the white–black mechanism poses a problem for Hering’s theory. Several attempts to fix this problem have been suggested. This paper focuses on the suggestion made by Paul Heggelund a century after Hering proposed his theory. In Heggelund’s amendment of Hering’s theory, the hueless colors are not confined to the one-dimensional gamut between black and white, but rather require two components for their full description: a light–dark (or luminous–black) component, where light and dark are mutually exclusive sensations, and a white component, which doesn’t have an opponent counterpart. Here I show that although Heggelund’s theory indeed provides a solution to the problem that the hueless colors pose to Hering’s theory, it is not self-consistent. I go on to revise Heggelund’s theory to obtain a consistent opponent-colors theory.

I show that the mathematical description of opponent-colors theory is identical to the mathematical description of two-state quantum systems in a mixed state. Following the principles of dual-aspect theory of phenomenal consciousness, which predicts an exact correspondence between a system’s phenomenal states and the objective states of its underlying physical substrate, I suggest that color sensations are phenomenal dual aspects of two-state quantum systems in a mixed state. Since nothing in this hypothesis suggests that what brings about the phenomenal experience that is dual to two-state quantum systems is the two-dimensionality of these systems, it is natural to generalize this hypothesis and suggest that other types of phenomenal experience (e.g., taste, odor, sound) are phenomenal dual aspects of quantum systems of higher dimensionalities. Finally, I propose that the two-state quantum systems that give rise to color in the brain are two-state ion-channels.