8-Spinor Quantum Gravity

TL;DR

This paper proposes a novel approach to quantum gravity based on Clifford-algebra covariance, linking microscopic null zig-zags to macroscopic Einstein curvature and deriving a scale-dependent gravitational constant.

Contribution

It introduces a Clifford-algebra covariant framework that unifies quantum mechanics and general relativity through spinor currents and boundary integrals, providing a new derivation of gravitational interactions.

Findings

Derives a scale-dependent gravitational constant from boundary integrals.

Shows how null zig-zags of particles relate to quantum gravity.

Explains the origin of Einstein curvature from spinfluid dynamics.

Abstract

Quantum gravity has been so elusive because we have tried to approach it by two paths which can never meet: quantum mechanics and general relativity. These contradict each other not only in superdense regimes, but also in the vacuum. We explore a straight road to quantum gravity here--the one mandated by Clifford-algebra covariance. This bridges the gap from microscales--where the massive Dirac propagator is a sum over null zig-zags--to macroscales--where we see the energy-momentum current, *T and the resulting Einstein curvature, *G. For massive particles, *T flows in the "cosmic time" direction, y^0--centrifugally in an expanding universe. Neighboring centrifugal currents of *T present opposite spacetime vorticities *G to the boundaries of each others' worldtubes, so they advect--i.e. attract, as we show here by integrating a Spin^c-4 Lagrangian by parts in the spinfluid regime. This boundary integral not only explains why stress-energy *T is the source for gravitational curvature *G, but also gives a value for the gravitational constant, kappa(x^0) that depends on the current scale factor of our expanding Friedmann 3-brane. On the microscopic scale, quantum gravity appears naturally as the statistical mechanics of null zig-zags of massive particles in "imaginary time," y^0.