The quantum nature of color perception: Uncertainty relations for chromatic opposition
Résumé
In this paper, we provide an overview on the foundation and first results of a very recent
quantum theory of color perception, together with novel results about uncertainty relations for
chromatic opposition. The major inspiration for this model is the 1974 remarkable work by H.L.
Resnikoff, who had the idea to give up the analysis of the space of perceived colors through metameric
classes of spectra in favor of the study of its algebraic properties. This strategy permitted to reveal
the importance of hyperbolic geometry in colorimetry. Starting from these premises, we show how
Resnikoff’s construction can be extended to a geometrically rich quantum framework, where the
concepts of achromatic color, hue and saturation can be rigorously defined. Moreover, the analysis of
pure and mixed quantum chromatic states leads to a deep understanding of chromatic opposition
and its role in the encoding of visual signals. We complete our paper by proving the existence of
uncertainty relations for the degree of chromatic opposition, thus providing a theoretical confirmation
of the quantum nature of color perception.
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