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Arelative invariant transforms under GL(3R) or GL(3R)* with a multiplier equal to some power of the determinant-theweight. Aside from some trivial changes of specific wording, a relative invariant will serve just as well as an absolute one, to single out a minimum through (c), (d), (e). For example, Δ can be chosen to be a relative scalar of unit weight,p k, Pk relative vectors of opposite unit weight in (7.6),C(λ), H scalars of unit weight in (7.6), (7.12). This scheme would identify luminance as the volume of a parallelopiped with edges given by the color vector v, the violet limiting ray, and the ray of confusion of deuteranopes. The last two lie in the plane of zero luminance, exactly like a color component. It would also explain the origin of Schrödinger's equation (10), cf. reference 5.
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If the alternative road of reference 21 had been taken,Δ/H would return here to absolute invariance. Note the similar structure of Schrödinger's equation (12), reference 5.
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Weinberg, J.W. The geometry of colors. Gen Relat Gravit 7, 135–169 (1976). https://doi.org/10.1007/BF00762021
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DOI: https://doi.org/10.1007/BF00762021