2104.06549
Strong degenerate constraining in Lagrangian dynamics
J. M. Burgos
correcthigh confidence
- Category
- Not specified
- Journal tier
- Strong Field
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper rigorously derives the limit dynamics on M via weak convergence and a radial adiabatic invariant, while the model reaches the same limit ODE and coefficient using classical adiabatic invariance and averaging. The conclusions agree; the model’s exposition is sound but omits some technical justifications (projection error control and averaging).
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} strong field
\textbf{Justification:}
The paper establishes a rigorous and geometrically transparent limit dynamics for strongly constraining, possibly degenerate, potentials in codimension one. It extends prior nondegenerate results, uses a careful weak-convergence framework, and identifies a clean invariant and effective potential. Minor clarifications would further improve accessibility.