Why Green Wavelength Is Closer to Blue Than to Red and How It Is Related to Computations: Information-Based Explanation

In our previous papers, we analyzed the idea of using light signals of three basic color -- red, green, and blue -- to speed up computations, in particular fuzzy-related computations. A natural question is: why red, green, and blue? Why not select some other colors: e.g., from the wavelength viewpoint, green is much closer to blue than to green, so why not select colors whose distribution is more even? In this paper, we show that if we consider this problem from the information viewpoint, then the corresponding equal-information criterion indeed implies that the intermediate wavelength should be closer to the smaller of the two remaining wavelengths than to the larger of these two. This result also explains why in human perception, green is closer to blue than to red. It also partially explains why green-blue color blindness it not the most frequent one -- which, from the viewpoint of differences in wavelength, sounds paradoxical.