Manuscript demonstrates height comparison and Néron-symbol calibration implications, suggesting insights for BSD-IV conjecture.
This upload should be cited as: \[Split: Raw Height Comparison and Neron-Symbol Calibration.\] It follows the split titled: \[Split: Actual Coefficient Calculus for the Primitive Spectral Extractor.\] Current status: The Mordell--Weil bridge front is imported as closed for the source-complete actual extractor:\[E_M^{}=0.\] The remaining height front is the raw comparison identity\[q^{}E,=B_E,*\, ,\,_{}.\] The manuscript proves the conditional implication\[exact local Neron-symbol calibration_H^{}=0_{}(E)=(E).\] Together with the already verified residues\[E_D^{}=E_B^{}=E_T^{}=0\]and the source-complete Mordell--Weil closure\[E_M^{}=0,\]this yields\[R^{}BSDIV(E)=(0,0,0,0,0)\]under the stated local Neron-symbol calibration hypothesis. This file should be read as a height-front reduction and calibration manuscript. It does not claim to prove the full Birch--Swinnerton--Dyer conjecture, and it does not close BSD-IV by a normalization convention. Absolute raw BSD-IV height closure still requires proving the local calibration identity from the actual raw height construction.
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Tosho Lazarov Karadzhov (2026) studied this question.
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