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In this paper, an attempt is made to represent 5+1 dimensional gravity (viaADM formalism) in terms of the loop constructions introduced by the author in acompanion paper. The "momenta" and "velocity" from the earlier paper, whichwere proven to be cobordant loops in 6 D; are used as the new loop variables.In the process, the Hamiltonian, Diffeomorphism and Gauss constraints arewritten in polynomials of these loop variables. Other constraints such as the"Q" constraint and simplicity constraints arise due to greater degrees offreedom. We then undergo the Master Constraint treatment to resolve theconstraints. Then, a pre-quantum version of the theory is examined; and theproperties of the Grassmannian of the Hilbert Space are explored.

Loop Variable Representation of Classical Higher Dimensional Gravity and the Hilbert Space Grassmannian