The SRNUDT Research Program: Addendum The Boundary Theorem Is Proved — Implications for the Unified Framework
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901080036605952 |
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| author | Ploof, Bradley |
| author_facet | Ploof, Bradley |
| contents | <h1><span><span><strong>Abstract</strong></span></span></h1> <p><span><span>This addendum to the SRNUDT Unified Framework (Ploof 2026c) reports a major development: the SRNUDT Boundary Theorem has been proved, subject to the standard hypotheses of the Atiyah-Segal localization theorem. The proof is presented in full in Paper A (DOI: 10.5281/zenodo.19326496); this addendum reports the result and its implications. The theorem establishes that in any SRNUDT system with symmetry group G, the remainder cohomology class [R] ∈ H¹(F) localizes to the fixed-point set Fix(G). This result transforms the SRNUDT research program from a framework supported by analogy to a mathematically grounded theory with proved foundational theorems. Two Millennium Prize problems follow as conditional corollaries. The Boundary Tick Theorem tautology objection is resolved. The neural assembly exception is formally closed. The framework is now expressed in the language of Remainder Dynamics — the complete dynamical theory of remainder propagation across scales, of which classical mechanics, quantum mechanics, and general relativity are limiting cases.</span></span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19337740 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The SRNUDT Research Program: Addendum The Boundary Theorem Is Proved — Implications for the Unified Framework Ploof, Bradley SRNUDT Boundary Theorem Remainder Dynamics C_SRNUDT category theory sheaf cohomology Riemann Hypothesis Navier-Stokes unified framework sovereign domain Planck floor open problems <h1><span><span><strong>Abstract</strong></span></span></h1> <p><span><span>This addendum to the SRNUDT Unified Framework (Ploof 2026c) reports a major development: the SRNUDT Boundary Theorem has been proved, subject to the standard hypotheses of the Atiyah-Segal localization theorem. The proof is presented in full in Paper A (DOI: 10.5281/zenodo.19326496); this addendum reports the result and its implications. The theorem establishes that in any SRNUDT system with symmetry group G, the remainder cohomology class [R] ∈ H¹(F) localizes to the fixed-point set Fix(G). This result transforms the SRNUDT research program from a framework supported by analogy to a mathematically grounded theory with proved foundational theorems. Two Millennium Prize problems follow as conditional corollaries. The Boundary Tick Theorem tautology objection is resolved. The neural assembly exception is formally closed. The framework is now expressed in the language of Remainder Dynamics — the complete dynamical theory of remainder propagation across scales, of which classical mechanics, quantum mechanics, and general relativity are limiting cases.</span></span></p> |
| title | The SRNUDT Research Program: Addendum The Boundary Theorem Is Proved — Implications for the Unified Framework |
| topic | SRNUDT Boundary Theorem Remainder Dynamics C_SRNUDT category theory sheaf cohomology Riemann Hypothesis Navier-Stokes unified framework sovereign domain Planck floor open problems |
| url | https://doi.org/10.5281/zenodo.19337740 |