What a physical Coulomb binding model adds
Conditional nonrelativistic continuation; source-derived binding not promoted
This page summarizes the linked research at its stated verification level. It is not a new proof certificate or experimental confirmation.
One bridge is not a Coulomb field
Joining the inherited finite electric graphs by one conductance w gives effective resistance Rpair(i,j)=Rp(i,a)+1/w+Re(b,j). Its energy is a sum of separate endpoint costs and a constant; every mixed difference vanishes. It supplies neither relative Euclidean space nor a spatial Coulomb kernel. A directed coefficient arrow, an electric bridge and a reciprocal Hamiltonian interaction are different typed objects.
Explicitly supplied physical laws
A separate continuation supplies relative Euclidean R3, homogeneous Maxwell law, positive permittivity, charges ±e, masses, ℏ/time convention and self-energy subtraction. It obtains V(r)=−κ/r, reduced mass μ, radius a=ℏ²/(μκ), and E0=−μκ²/(2ℏ²). A ground-state factorization proves the lower bound, not just a finite-grid or variational fit. These familiar physical inputs are not derived by the arrow construction.
Retain the internal information
The orbital is scalar on the native electron doublet: bright and link-dark states bind equally. All 24 internal potential folds remain; they are not different Coulomb energy levels, orbital radii or electrostatic potentials. Binding does not recover information hidden from the original coefficient link. The free centre of mass has no normalizable ground on all R3; this is a relative internal bound state. No magnetic, hyperfine, QED, relativistic or radiative calculation is claimed. Source Gauss audit and conditional Coulomb continuation · Full receipt · Explore the link's dark direction.
Checker: research/voevodsky/checkers/check_source_gauss_to_coulomb_binding.py
Result artifact: research/voevodsky/results/source-gauss-to-coulomb-binding-v1.json