Understanding quantum gravity motivates string and loop theorists. Both employ geometric wavefunction models. Gravity enters strings by taking the one fundamental length permitted by quantum field theory to be not the high energy cutoff, rather the Planck length. This comes at a price - string theory cannot be renormalized, and the solutions landscape is effectively infinite. Loop theory seeks only to quantize gravity, with hope that insights gained might inform particle physics. It does so via interactions of two dimensional loops in three-dimensional space. While both approaches offer possibilities not available to Standard Model theorists, it is not unreasonable to suggest that geometric wavefunctions comprised of fundamental geometric objects of three-dimensional space are required for successful models, written in the language of geometric Clifford algebra.
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