Fixed-support coercivity for the Weil form: a packet-shell certificate and its evidence chain (unreviewed preprint)

NOT PEER REVIEWED. Independent mathematical peer review is requested. This record is intended to make an unreviewed working manuscript available for scrutiny. It does not represent journal acceptance, external endorsement, or an independently verified theorem. No formal peer-review process is claimed to be underway. Repository deposit and a DOI do not certify mathematical correctness. Fixed-support coercivity for the Weil form: a packet-shell certificate and its evidence chain presents an internally assembled computer-assisted fixed-support theorem candidate. The assertion under review is q(f,f) ≥ 10−22 ||f||22 on the declared continuum logarithmic form domain supported in [−a1, a1], where a1 = (1/2) log(2501/500). The argument combines a positive old-support certificate with a twelve-cell shell decomposition, bounds for all omitted Fourier frequencies and the infinite cellwise mean-zero space, and an old/shell Schur-complement comparison. This is not a proof of the Riemann Hypothesis. No positivity theorem for arbitrarily large supports or support-exhausting continuation mechanism is claimed. The separate earlier candidate at mu = 5.0020002 is outside this manuscript's fixed-support statement. The complete analytical and computational chain still requires independent scrutiny; errors or gaps may remain. The comparison with related literature and earlier deposits is not yet complete. Version 0.3 is a status-and-packaging revision of the Q52 integrated draft 0.2. The mathematical content, constants, references and original evidence are unchanged. The supplement contains editable LaTeX, fourteen analytical notes, selected numerical records and evidence maps, and the exact original Q52 archive. It is not a self-contained replay of every upstream producer; additional original archives remain necessary as specified in the input register. No new mathematical calculation was performed for this edition. The work is AI-assisted, as disclosed in the manuscript. AI-generated assessments and internal numerical checks are not substitutes for human peer review. Reviewers are invited to examine the source/domain identification, universal tail and shell estimates, all-function Gram representation, numerical enclosures, final implication and novelty, and to identify the exact version and sections reviewed. Author: Roberto Carlo Angelone. Version: 0.3. Prepared: 8 September 2026. License: CC BY 4.0 for the original manuscript and author-owned content; third-party rights and source attributions are preserved.