A new interaction term is added to the unified gravity Lagrangian to couple gravitons to their own stress-energy-momentum tensor, yielding a nonlinear, gauge-invariant field equation.
Perihelion precession of planetary orbits solved from quantum field theory
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abstract
We derive the perihelion precession of planetary orbits using quantum field theory extending the Standard Model to include gravity. Modeling the gravitational bound state of an electron via the Dirac equation of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)], and taking the classical planetary state limit, we obtain orbital dynamics exhibiting a precession in agreement with general relativity. This demonstrates that key general relativistic effects in planetary motion can emerge directly from quantum field theory without invoking the geometric framework of general relativity.
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Extending unified gravity to account for graviton-graviton interaction
A new interaction term is added to the unified gravity Lagrangian to couple gravitons to their own stress-energy-momentum tensor, yielding a nonlinear, gauge-invariant field equation.