Ongoing proliferation of interpretations of the formalism of quantum mechanics over the course of nearly a century originates in historical choices of wavefunction, and in particular with assignment of geometric and topological attributes to unintuitive internal intrinsic properties of point particle quarks and leptons. Significant simplification and intuitive appeal arise if one extends Dirac’s two-component spinors to the full eight-component Pauli algebra of 3D space, providing a geometric representation of wavefunctions and their interactions that is comparatively easily visualized. We outline how the resulting quantized impedance network of geometric wavefunction interactions yields a naturally finite, confined, and gauge invariant model of both the unstable particle spectrum and quantum gravity that is consistent with and clarifies interpretation of both special relativity and the equivalence principle.
Comments: 11 Pages. Essay written for the Gravity Research Foundation 2018 Awards for Essays on Gravitation.
[v1] 2018-04-01 08:58:43
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