Split: Raw Height Comparison and Néron-Symbol Calibration

This preprint continues the BSD-IV split sequence after the primitive-frame and actual coefficient-calculus manuscripts. The preceding split manuscripts reduce and discharge the raw Mordell--Weil verification residue for the source-complete primitive spectral extractor. The present split isolates the remaining height front:\[q^{\raw}_{E,\spec}=B_E^{\arith,*}\langle\, ,\,\rangle_{\NT}.\] The manuscript defines the raw height comparison defect\[\Delta^{H,\raw}_E(v,w):=q^{\raw}_{E,\spec}(v,w)-\bigl\langle B_E^{\arith}v,B_E^{\arith}w\bigr\rangle_{\NT},\]and records the exact local Neron-symbol calibration theorem needed for its…