Exact Fixed-Density Finite-Volume Realizations of Maximally Flat Newtonian Source Fields

Summary

Proves that nearby exact fixed-density finite-volume realizations exist for ideal thin-source constructions, distinguishing rigorous mathematical and computer-assisted results from broader numerical evidence.

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.