The Synchronization Bridge: A Proof of P=NP
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866901316607934464 |
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| author | Sahai, Adhrit Mohan |
| author_facet | Sahai, Adhrit Mohan |
| contents | <p>This research presents a formal, constructive proof establishing that P = NP by resolving the "Complexity Gap" as a perspectival illusion. The proof centers on a deterministic, polynomial-time solution to the integer factorization problem, positing that its perceived difficulty arises from a dimensional misalignment between the search origin and solution coordinates. The author introduces a Modular Synchronization Sieve to discover a Telescopic Mapping k, which aligns the geometric properties of a target composite N to its arithmetic search space. By applying a novel Jump Identity, the algorithm enables factor discovery in O(1) iterations, effectively reducing the parabolic search field into a linear, polynomial calculation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18825763 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Synchronization Bridge: A Proof of P=NP Sahai, Adhrit Mohan P vs NP, Integer Factorization, Phase-Shift Synchronization, Telescopic Mapping, Jump Identity, 3-SAT Reduction. <p>This research presents a formal, constructive proof establishing that P = NP by resolving the "Complexity Gap" as a perspectival illusion. The proof centers on a deterministic, polynomial-time solution to the integer factorization problem, positing that its perceived difficulty arises from a dimensional misalignment between the search origin and solution coordinates. The author introduces a Modular Synchronization Sieve to discover a Telescopic Mapping k, which aligns the geometric properties of a target composite N to its arithmetic search space. By applying a novel Jump Identity, the algorithm enables factor discovery in O(1) iterations, effectively reducing the parabolic search field into a linear, polynomial calculation.</p> |
| title | The Synchronization Bridge: A Proof of P=NP |
| topic | P vs NP, Integer Factorization, Phase-Shift Synchronization, Telescopic Mapping, Jump Identity, 3-SAT Reduction. |
| url | https://doi.org/10.5281/zenodo.18825763 |