Analytical Note on the Geometry of the Perfect Sphere: A Logical Complement to the Theory of Objectivity

This short analytical note is presented in dialogue with Vidamor Cabannas’s Theory of Objectivity (Zenodo Record 17013728).
It reformulates the concept of the Perfect Sphere—identified in the Theory as the structural expression of total coherence—within a logical-geometric and field-theoretic context.
Using the principles of isotropy, curvature, and pressure equilibrium, the analysis shows that spherical geometry represents the minimal configuration that permits simultaneous compression and uniform expansion under field influence.
The intent is not to modify the original axioms of the Theory of Objectivity, but to offer a physically consistent complement that may assist in refining and extending its treatment of dynamic coherence.