Formal rotor-dynamic route describes the Einstein Field Equations in four-dimensional spacetime geometry, suggesting implications for gravity and matter interaction.
Key Points
This paper aims to unify spacetime geometry and matter stress-energy into a single equation using rotor dynamics.
Developed a formal rotor-dynamic framework for spacetime geometry and matter.
Extended the scalar rotor curvature field to an orientation-valued field defining local rotor frames.
Constructed an effective Lorentzian metric from rotor frames and derived equations related to curvature and stress-energy.
Established that the Einstein-Hilbert term dominates in the long-wavelength limit of the rotor action.
Demonstrated that localized rotor solitons represent the matter sector based on stress-energy derived from metric variation.
Revealed that G signifies inverse substrate curvature stiffness and Λ indicates residual curvature pressure.