local_scalar_profile_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

Physical local scalar Dirac normalization and the massless radial boundary.

The radial nonexistence argument is analytic; numerical tails illustrate its
mechanism. Neither a flat comparison nor a 1D massive control selects IDWT particles.

Research context

Local scalar contact normalization
Spatial normalization turns a scalar contact coefficient into a profile-dependent frequency, with exact virial, scaling and massive one-dimensional benchmarks.
Massless radial scalar contact
Regular flat radial scalar Dirac fields have no finite-norm stationary state for cubic or smooth saturating contact; the homogeneous root is also excluded under the stated virial hypotheses.
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.