This note puts together concepts towards a new general relativity of orbits, eventually in the next note that angular velocity will be expressed directly as spacetime torsion. This note shows that the simple rotation of a vector in a plane can be described in terms of the spin connection because rotating a vector clockwise with fixed axes is equivalent to rotating the axes anticlockwise with fixed vector. Rotating the axes is described by the spin connection. The aim of this exercise is to show that the Cartan torsion is a generalized rotation.

a197thpapernotes4.pdf

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