Quantum Gravity and String Theory

   

Gravity Inside the Dirac Adjoint: Mass Renormalization and Geometry from the Rotor Field Qg

Authors: E. P. J. de Haas

This paper develops a new way to connect quantum theory and gravitation by placing geometry inside the structure of the Dirac equation itself. A single mathematical object, the gravitational rotor field Qg, replaces the fixed time direction of flat spacetime with a locally curved one. When this rotor is introduced into the Dirac adjoint, the theory automatically reproduces three familiar regimes: ordinary flat space, the weak-field limit that gives gravitational redshift, and the strong-field domain where curvature and its gradients affect the motion of matter. In this formulation, gravity acts by changing the local measure of time and therefore the effective mass of particles. Massive Dirac particles experience this as a renormalization of their rest mass, while massless Weyl particles can acquire a small, curvature-induced mass. The framework thus unifies flat, weak, and strong gravitational behavior inside a single operator, without introducing an external metric or new postulates. It preserves the tested limits of general relativity yet extends them into a directly quantum setting, offering a new language in which mass, curvature, and the flow of time emerge as different aspects of one spinorial geometry.

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[v1] 2025-10-26 23:11:37

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