cavity_balance_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

Mechanical constraints for a common cavity size and additive inertia.

The energy and collective kinetics are declared inverse-model controls.
Their field-theoretic origin is not assumed. Particle assignments stay fixed.

Research context

Common cavity size and collective coupling
A common cavity radius and count-additive energy constrain the balancing terms of an inverse action, while its canonical probe response requires a separate count scaling that can be tested against actual spatial contacts.
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.