Proposed authorship is retained from the supplied draft. Author approval, responsibility for the final manuscript, and submission authorization require confirmation. Citation does not assign authorship., I-B-G-Q-v2, 2026, pp. 1-99
I-B-G-Q: Controlled Quantum-Certificate Criteria and the Remaining Characteristic Admission Problem on a Prescribed Conical Setting
Ngo Cheung
Proposed authorship is retained from the supplied draft. Author approval, responsibility for the final manuscript, and submission authorization require confirmation. Citation does not assign authorship.
2026
Abstract
We formulate a quantitative verification framework for the proposed admission of the inherited characteristic quantum coefficient on a prescribed conical background. The supplied initial draft does not construct that coefficient: its subtraction formula is a scalar kernel pairing rather than an interacting product, counterterm solvability is assumed, and fixing a subtraction scale does not establish absence of running.
The principal results proved here are a distribution-valued Dini convergence theorem with an explicit remainder, a separate uniform Fourier criterion for the limiting wavefront set, and an exact simultaneous compatibility criterion for reconstruction descent, a fixed-order linear Ward equation, normalization, and literal scale independence. An explicit logarithmic finite part yields a conserved tensor distribution with nonzero scale derivative, demonstrating that finiteness and a vanishing conservation defect do not imply non-running.
The contribution is a unified, checkable interface for the missing construction, not a new general renormalization theory or a claimed solution of the complete characteristic graph. Its potential value is to distinguish a genuine future admission from a normalization imposed by definition, a supported-sector reference, or an internal amplitude estimate. No first quantum admission is asserted. The full characteristic product, its output-space membership, and its interacting Ward identity remain unconstructed.
Bibliographic record
- Title
- I-B-G-Q: Controlled Quantum-Certificate Criteria and the Remaining Characteristic Admission Problem on a Prescribed Conical Setting
- Author
- Cheung, Ngo
- Affiliation
- Proposed authorship is retained from the supplied draft. Author approval, responsibility for the final manuscript, and submission authorization require confirmation. Citation does not assign authorship.
- Publication date
- 2026
- Institution
- Proposed authorship is retained from the supplied draft. Author approval, responsibility for the final manuscript, and submission authorization require confirmation. Citation does not assign authorship.
- Report number
- I-B-G-Q-v2
- Publisher
- Cheung Ngo Medical Limited
- First page
- 1
- Last page
- 99
- Language
- en