**Subject:** The Hodge Invariance of Geometry

**Date:** Fri, 10 Apr 2009 08:19:47 EDT

These structures A and B show the fundamental Hodge invariance of geometry in four dimensions with torsion and curvature. This must be the geometry of any equation of general relativity. The fundamental idea of relativity is to base physics on geometry. Structure B is obtained from structure A by switching the tilde and except for this switch in tilde, the two structures are the same. The subscript HD in eq. (5) denotes the Hodge dual of the commutator operator. One could equivalently write the commutator with a tide above the square brackets [ , ].

Attachment: ahodgeinvarianceofgeometry.pdf

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