TEBAC BSD-IV Split: Raw Height Comparison and Néron-Symbol Calibration
Abstract
This upload should be cited as: \[\textit{Split: Raw Height Comparison and Neron-Symbol Calibration}.\] It follows the split titled: \[\textit{Split: Actual Coefficient Calculus for the Primitive Spectral Extractor}.\] Current status: The Mordell--Weil bridge front is imported as closed for the source-complete actual extractor:\[E_M^{\ver}=0.\] The remaining height front is the raw comparison identity\[q^{\raw}_{E,\spec}=B_E^{\arith,*}\langle\, ,\,\rangle_{\NT}.\] The manuscript proves the conditional implication\[\text{exact local Neron-symbol calibration}\LongrightarrowE_H^{\ver}=0\Longrightarrow\Reg_{\spec}(E)=\Reg(E).\] Together with the already verified residues\[E_D^{\ver}=E_B^{\ver}=E_T^{\ver}=0\]and the source-complete Mordell--Weil closure\[E_M^{\ver}=0,\]this yields\[R^{\ver}_{\mathrm{BSDIV}}(E)=(0,0,0,0,0)\]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.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Benford’s Law and Fraud Detection
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 28 April 2026
- Language
- EN
- Document type
- Preprint