Gravity as an Emergent Coupling Operator: A Composite Graviton in Cl(6) x Cl(1,3)
Year: 2026
Type: preprint
Abstract: UNDER REVIEW DO NOT USE THE RESULTS FROM THIS PAPER UNTIL THE REVIEW HAS BEEN COMPLETED AND VERIFIED We realize the gravitational vielbein of gauge theory gravity (GTG) as the vacuum expectation value of a coupling operator Gamma_B that lives in the tensor product Cl(6) x Cl(1,3). The operator carries grade (1,1) and twenty-four real components of elementary spin-1 content. Its condensate reproduces the flat vielbein and, through a coherent-state displacement of a single condensate component, the Doran-gauge Schwarzschild vielbein. The spin-2 graviton emerges as a composite of the spin-1 fluctuations of Gamma_B through the standard vierbein symmetrization. We establish a master vacuum-expectation-value theorem valid for any condensate direction, an exact reduction of the twenty-four fluctuation components to the two physical graviton polarizations, and the statement that the spin-2 projection of the composite graviton propagator equals that of the standard massless graviton. A structural obstruction in the QCD sector prevents the strong-interaction vacuum from sourcing the gravitational condensate. The construction sits on a flat Cl(1,3) background and yields, in the classical limit, the linearized vacuum field equations of Lasenby, Doran, and Gull (1998).
Author: Firestone, Todd
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170072999
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