Calculation record
Reproducible curvature, frequency and translation checks; no mass fitting.
Research context
- Nonlinear response of the bending modes
The same surface curvature energy that gives simplex frequencies has nonzero canonical mode couplings, an exact quadratic resonance and a scale response that must enter any nonlinear particle fixed point.
- The simplex spectrum from surface bending
A conformal bending energy gives the exact simplex frequency sequence under a declared geometric time law, while ordinary tension changes its ratios and the round-surface translation response requires a different physical completion.
- Diagnostic catalog
Reproduction commands and scope descriptions for every local finite diagnostic and helper.
Interpret numerical checks within the assumptions and limitations documented in these notes.