| _version_ | 1866901211713634304 |
|---|---|
| author | Matsuura, Yoshihito |
| author_facet | Matsuura, Yoshihito |
| contents | <p>This paper introduces MSAT (Matsuura Structural Additive Transfer), a methodological framework for reorganizing additive existence problems into structurally transparent and reusable forms.</p> <p> </p> <p>Rather than attempting to resolve specific conjectures such as Goldbach-type problems, the paper constructs complete and fully explicit proofs for carefully chosen scaffold problems, while isolating all remaining unresolved difficulty into a single structural mixing condition.</p> <p> </p> <p>The contribution of this work is methodological rather than problem-specific: it provides a reusable research infrastructure that systematically transports researchers to the immediate vicinity of the true structural bottleneck shared across multiple additive conjectures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18127343 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | MSAT: A Structural Additive Transfer Framework for Scaffolded Resolution of Additive Existence Problems Matsuura, Yoshihito additive number theory structural decomposition scaffold problems methodological framework MSAT <p>This paper introduces MSAT (Matsuura Structural Additive Transfer), a methodological framework for reorganizing additive existence problems into structurally transparent and reusable forms.</p> <p> </p> <p>Rather than attempting to resolve specific conjectures such as Goldbach-type problems, the paper constructs complete and fully explicit proofs for carefully chosen scaffold problems, while isolating all remaining unresolved difficulty into a single structural mixing condition.</p> <p> </p> <p>The contribution of this work is methodological rather than problem-specific: it provides a reusable research infrastructure that systematically transports researchers to the immediate vicinity of the true structural bottleneck shared across multiple additive conjectures.</p> |
| title | MSAT: A Structural Additive Transfer Framework for Scaffolded Resolution of Additive Existence Problems |
| topic | additive number theory structural decomposition scaffold problems methodological framework MSAT |
| url | https://doi.org/10.5281/zenodo.18127343 |