Grassmannian Uncertainties and Rational Invariants

The joint image Grassmannian in epipolar geometry is iterated by base pointsof a pencil of conics. Rational points in image, singular two-dimensional minors,hyperbolic alternating forms and elliptic curve segments are discussed. Permutationsin hyperbolic alternating are proposed for Grassmann variables leadingto fermions. Unit values of binary forms are proposed for bosons. A fixed pointGrassmannian partition function is discussed in conjunction with an applicationto physical fields. The amount of available world point information with respectto processable bits is estimated.