[1] Modern formulations of Grassmann's laws[2] describe the additivity in the color perception of light mixtures in terms of algebraic equations.
Additive color predicts perception and not any sort of change in the photons of light themselves.
Examination with a sufficiently powerful magnifying lens will reveal that each pixel in CRT, LCD, and most other types of color video displays is composed of red, green, and blue light-emitting phosphors which appear as a variety of single colors when viewed from a normal distance.
Instead, subtractive color is used to model the appearance of pigments or dyes, such as those in paints and inks.
For his experimental work on the subject, James Clerk Maxwell is sometimes credited as being the father of additive color.