Hydrogenic Bound States from Phase Holonomy, Part I

This note asks a deliberately limited question: if a Super Information Theory (SIT) effective description is specified to contain the ordinary locally U(1)-invariant Maxwell and charged-matter sector in a constant-background limit, is standard hydrogen compatible with that limit? The answer is yes by construction. A localized charge obeys the assumed Maxwell Gauss law, and the assumed Schrodinger or Dirac Hamiltonian supplies the standard bound-state spectrum. Connection and holonomy language provides a compatible geometric description, but it does not independently derive QED, electric charge, the Coulomb normalization, or hydrogenic quantization from SIT. The published paper's conservative core survives, but three technical claims are corrected. First, for a spatially varying gauge kinetic function f2(r), the radial potential is the nonlocal integral not generally Q/[4 pi r f2(r)]. Second, the fractional energy relation delta E n/E n approximately -2 delta f2 applies directly only to a spatially constant rescaling under a declared charge normalization; varying profiles require state-dependent expectation values. A new dimensionless 1s/2s example now converts those level corrections into the transition difference that an experiment would actually observe and reproduces it by a separate arbitrary-precision quadrature path. This is an arithmetic demonstration, not a prediction or bound. Third, phase degree, Wilson-loop holonomy, and gauge-covariant circulation are separated. The corrected Part II is a conditional Bohr reconstruction plus obstruction analysis and no longer supports a claim of necessary SIT hydrogen structure. Neither paper validates the other.