Scholarly record
Research summary
Paper IX constructs a local C² retarded Einstein–real-scalar exterior from the physically inherited coherent-source interface data and verifies the complete nonlinear Einstein–scalar equations on a nonempty open region. The matched moving worldtube has a nontrivial distributional junction, with negative proper-time surface energy and positive angular pressure on the selected outward branch. An effective local scalar surface action reproduces the junction stress. The complete finite-collar action has zero first right-sided shape variation for every admitted edge-flat height, while joint metric–scalar first-order stationarity holds for a selected height and specified independent tests. Global exterior continuation, maximal physical history, free-edge stationarity and dynamical stability remain unproved.
This catalog summary is provided for orientation. Please consult the complete manuscript for its original abstract and mathematical results.
Scientific context
This paper belongs to the Relational Quantum Gravity research program.