conformal_simplex_spectrum_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

Check the exact simplex spectrum of the critical conformal scalar operator.

Round physical spheres and CP3 are distinct conditional spatial geometries.
This verifies scalar differential operators, not a master Dirac mass mechanism.

Research context

A conformal spatial operator with the simplex spectrum
The critical conformal scalar operator on a round even-dimensional sphere has exactly the normalized simplex spectrum, while its spinor realization, spatial geometry and master interaction remain additional requirements.
Diagnostic catalog
Reproduction commands and scope descriptions for every local finite diagnostic and helper.

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