Calculation record
Angular force constraints for local curvature support on round geometry.
Any rotationally invariant geometry-only supporting functional has an
isotropic first variation on the round reference geometry. It cannot
cancel the nonconstant angular forces tested here. Spatially patterned
or moving supporting fields are outside this conditional obstruction.
Research context
- Exact scale balance and the remaining spatial supporting force
Independent angular stresses obstruct scalar local curvature support for the stated nonuniform states, while a constant-density n=1 spinor supplies an explicit stationary first metric variation under the trial law.
Interpret numerical checks within the assumptions and limitations documented in these notes.