Proving the Non-Equivalence of P and NP: A Logical Reductio ad Absurdum via Holographic Block-Height
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866902044831383552 |
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| author | li, shaoren |
| author_facet | li, shaoren |
| contents | <p>This paper provides a definitive resolution to the P vs NP problem using a Reductio ad Absurdum proof within the Binary Holographic Topological Framework. We prove that P is not equal to NP because the stability of our 3D reality depends on the irreversibility of time. If P were equal to NP, the computational cost of searching for a solution would equal the cost of verifying it, which would nullify the consensus workload and cause the block height of the universe to collapse. Since we observe a stable reality and a consistent speed of light, the assumption that P equals NP must be false. This establishes the complexity gap as a fundamental hardware protection of the universal 10^122 bit ledger.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19697449 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Proving the Non-Equivalence of P and NP: A Logical Reductio ad Absurdum via Holographic Block-Height li, shaoren P = NP P vs NP Problem Computational Complexity Nondeterministic Polynomial Time (NP) NP-Completeness <p>This paper provides a definitive resolution to the P vs NP problem using a Reductio ad Absurdum proof within the Binary Holographic Topological Framework. We prove that P is not equal to NP because the stability of our 3D reality depends on the irreversibility of time. If P were equal to NP, the computational cost of searching for a solution would equal the cost of verifying it, which would nullify the consensus workload and cause the block height of the universe to collapse. Since we observe a stable reality and a consistent speed of light, the assumption that P equals NP must be false. This establishes the complexity gap as a fundamental hardware protection of the universal 10^122 bit ledger.</p> |
| title | Proving the Non-Equivalence of P and NP: A Logical Reductio ad Absurdum via Holographic Block-Height |
| topic | P = NP P vs NP Problem Computational Complexity Nondeterministic Polynomial Time (NP) NP-Completeness |
| url | https://doi.org/10.5281/zenodo.19697449 |