SPSP-SSC-XRQ: GR and SM from SSC Axioms

This paper builds general relativity and the standard model from one coherent framework called SPSP-SSC. The core idea is that what we observe is a local projection of a boundaryless quantum sphere. Gravity is the projection of the sphere’s internal rotation, and the vacuum is a universal update flow at the speed of light. A non-propagating constraint field enforces balance on each time slice and never radiates. From these assumptions the paper derives the Einstein–Hilbert action with the correct boundary term, the field equations, two gravitational wave polarizations, and the standard weak-field results, including the first post-Newtonian metric, Shapiro delay, and quadrupole gravitational-wave emission. On the particle side it selects the standard model gauge structure with color, weak, and one abelian factor, fixes the electric charge assignments by anomaly cancellation, and presents the complete renormalizable standard model Lagrangian, including a neutrino sector that accommodates both Dirac and Majorana (seesaw) masses. It also sets up the background-field and BRST machinery for quantum calculations and includes a worked one-loop example for the hypercharge coupling; a full renormalization analysis is left to future work.