Spectral Dissolution of Combinatorial Tension: Resolution-Dependent NP Reduction via Topological Phase Resonance (v2.0)
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2026
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| _version_ | 1866901835941412864 |
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| author | kim, minsu |
| author_facet | kim, minsu |
| contents | <p>Formalization of local NP dissolution: combinatorial search tension <br>collapses into deterministic matching at critical spectral resolution <br>(η=0, Cost ~ W ln W). Not a P=NP claim — local, resolution-dependent, <br>bounded by saturation ceiling.</p> <p>Grounded in:<br>- LSH block-averaging spectral preservation (eff_rank ratio 0.970)<br>- IRS-DCE 4-step causal chain (416 observations, 3 architectures)<br>- Meta-13 dual-core validation (50 problems, C=0, 40%→76%)<br>- AH framework (RH as parallel topological instance)</p> <p>v2.0 additions: full W ln W integral derivation, empirical η(τ) curve, <br>self-tuning boundary explorer (Track D patent), data provenance.</p> <p>Companion to: Operational Shell Framework v1.0 (DOI: 10.5281/zenodo.18873592)</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19528411 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Spectral Dissolution of Combinatorial Tension: Resolution-Dependent NP Reduction via Topological Phase Resonance (v2.0) kim, minsu topological-compression phase-stagnation np-dissolution spectral-analysis hodge-star-converter llm-inference riemann-hypothesis artificial-hypothesis boundary-dissolution gauge-symmetry w-ln-w-cost irs-dce computational-complexity neural-symbolic token-compression self-tuning <p>Formalization of local NP dissolution: combinatorial search tension <br>collapses into deterministic matching at critical spectral resolution <br>(η=0, Cost ~ W ln W). Not a P=NP claim — local, resolution-dependent, <br>bounded by saturation ceiling.</p> <p>Grounded in:<br>- LSH block-averaging spectral preservation (eff_rank ratio 0.970)<br>- IRS-DCE 4-step causal chain (416 observations, 3 architectures)<br>- Meta-13 dual-core validation (50 problems, C=0, 40%→76%)<br>- AH framework (RH as parallel topological instance)</p> <p>v2.0 additions: full W ln W integral derivation, empirical η(τ) curve, <br>self-tuning boundary explorer (Track D patent), data provenance.</p> <p>Companion to: Operational Shell Framework v1.0 (DOI: 10.5281/zenodo.18873592)</p> |
| title | Spectral Dissolution of Combinatorial Tension: Resolution-Dependent NP Reduction via Topological Phase Resonance (v2.0) |
| topic | topological-compression phase-stagnation np-dissolution spectral-analysis hodge-star-converter llm-inference riemann-hypothesis artificial-hypothesis boundary-dissolution gauge-symmetry w-ln-w-cost irs-dce computational-complexity neural-symbolic token-compression self-tuning |
| url | https://doi.org/10.5281/zenodo.19528411 |