Calculation record
Finite checks of generalized coupling on nested spatial sectors.
No empirical coupling constants are fitted. Independent energy variations,
time evolution, spatial quadrature and basis changes test conditional models.
Run directly; this diagnostic writes no files and remains active under -O.
Research context
- Canonical coupling normalization
Kinetic Gram matrices fix normalized transition vertices and conserved generators, separating charge universality from profile-dependent interaction strength.
- Common field response
Eliminating stable response modes of the same field gives a Gram correction to the direct coupling, with exact reciprocity and a proportional-profile criterion for rank one.
- Generalized sector coupling
A common interaction on arbitrary nested sectors yields reciprocal responses, normalized vertices, and testable coupling relations, with neutrinos as a channel-specific control.
- Nested moment coupling
The dot-square kernel on centered isotropic nested subspaces gives a minimum-depth Gram matrix of full rank, despite factorized bare coefficients.
- Nested sector reciprocity
Compatible spatial marginals and their dual pullbacks give reciprocal coupling equations on arbitrary nested sectors, with exact composition along a chain.
- Neutrino channel control
A neutrino coupling test requires vanishing electric charge, a colour singlet, and nonzero weak vertices, with low-energy suppression distinguished from a zero interaction.
- 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.