whole_depth_sphere_checks.py

IDWT's physical premise is one infinite-dimensional manifold with all sectors nested as submanifolds. Particle depth counts macroscopic spatial dimensions; matrix and field-component counts in a calculation add no physical dimensions.

Calculation record

The whole physical d-sphere, its spinor polynomial and vector d=2 control.

This is a different specified geometry from the codimension-two feature.
It supplies no self-supported sphere or master origin for a retained chain.

Research context

A whole-depth spatial carrier and physical depth-two polarization
A local shifted-Dirac polynomial on an actual d-dimensional sphere gives the simplex magnitude at every maintained depth; its inverse first-order chain is causal, while tangent-vector fields provide a separate depth-two polarization control without a photon zero.

Interpret numerical checks within the assumptions and limitations documented in these notes.