The Eight–Summit Framework: A Finite–Depth Structural Interpretation of the Riemann Landscape via the Matsuura Hierarchy (MSHD–HSTG)
Fuente:
Zenodo
Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Published: |
Zenodo
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866901182780276736 |
|---|---|
| author | Matsuura, Yoshihito |
| author_facet | Matsuura, Yoshihito |
| contents | <p>This preprint introduces the Eight–Summit Framework, a finite–depth structural interpretation of the Riemann landscape based on the Matsuura Structural Hierarchy (MSHD) and the Hierarchical Structural Twin Generator (HSTG). The framework proposes that the global zero pattern of the Riemann zeta function is controlled not by infinitely many degrees of freedom, but by a finite structural shelf — the Eight–Summit Core.</p> <p>The theory organizes prime distributions, residue strata, and structural descent mechanisms into a unified architecture, providing a finite structural model equivalent to the Riemann Hypothesis under hierarchical refinement. This work extends earlier MSHD–HSTG applications to Collatz-type dynamics, Goldbach-type problems, and twin primes.</p> <p>A companion Coq kernel formalizing the discrete components of the Eight–Summit Framework is available at:<br>DOI: 10.5281/zenodo.17599449</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17600012 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Eight–Summit Framework: A Finite–Depth Structural Interpretation of the Riemann Landscape via the Matsuura Hierarchy (MSHD–HSTG) Matsuura, Yoshihito MSHD HSTG Riemann Hypothesis Prime Structural Bands Layered Potentials Structural Descent Coq Formalization Eight-Summit Core Finite-Depth Structures <p>This preprint introduces the Eight–Summit Framework, a finite–depth structural interpretation of the Riemann landscape based on the Matsuura Structural Hierarchy (MSHD) and the Hierarchical Structural Twin Generator (HSTG). The framework proposes that the global zero pattern of the Riemann zeta function is controlled not by infinitely many degrees of freedom, but by a finite structural shelf — the Eight–Summit Core.</p> <p>The theory organizes prime distributions, residue strata, and structural descent mechanisms into a unified architecture, providing a finite structural model equivalent to the Riemann Hypothesis under hierarchical refinement. This work extends earlier MSHD–HSTG applications to Collatz-type dynamics, Goldbach-type problems, and twin primes.</p> <p>A companion Coq kernel formalizing the discrete components of the Eight–Summit Framework is available at:<br>DOI: 10.5281/zenodo.17599449</p> |
| title | The Eight–Summit Framework: A Finite–Depth Structural Interpretation of the Riemann Landscape via the Matsuura Hierarchy (MSHD–HSTG) |
| topic | MSHD HSTG Riemann Hypothesis Prime Structural Bands Layered Potentials Structural Descent Coq Formalization Eight-Summit Core Finite-Depth Structures |
| url | https://doi.org/10.5281/zenodo.17600012 |