A Sharp Two-Ring No-Go Theorem for Locally Uniform Newtonian Fields

Summary

Proves that allowing independent axial positions does not improve the sharp two-ring local-flatness order.

This is a short public summary written for this site. The full text and author abstract are available through the DOI record.

This work concerns Newtonian gravitational source engineering using ordinary positive physical source masses. It is unrelated to the classical Positive Mass Theorem of differential geometry and general relativity.