source_frequency_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 source clocks and normalized bifrequency spatial Dirac fields.

Verifies conditional frequency rules and exact scalar-bound spatial fields.
No neutrino state selection, photon current identification or rate is assumed.

Research context

Two-frequency spatial Dirac currents
Opposite-frequency components of the same spatial Dirac field give exact current oscillations at twice the bound frequency, with a common scalar source and explicit normalization, size and response constraints.
Source frequencies in spatial coupling
The full field source, spatial observables and changing mode patterns carry different temporal frequencies, whose relation to normalized response determines whether a slow bound oscillation weakens coupling.
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.