master_chiral_bridge_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

Positive-energy Dirac projection and scalar/exchange chiral bridge.

Depth six is fixed. The exchange identity assumes normal-ordered fermionic
quantization and a Gaussian closure; an exact one-particle counterexample
prevents silently treating that closure as the written classical equation.

Research context

Master chiral current projection
Positive-energy projection of a massive six-spatial-dimensional Dirac scalar current supplies the four-component polarization, Berry kinetic term, and a calculable momentum-transfer bivector source.
Master scalar exchange bridge
A normal-ordered fermionic scalar interaction yields the auxiliary chiral polarization coefficient under Gaussian closure, while an exact one-particle counterexample fixes the limits of that bridge.
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.