Preprint · Release 03
P vs NP in Curvature-Bounded Wave Computation: A Model-Relative P_WCC ≠ NP_WCC Separation
Abstract
This work defines a curvature-bounded wave-computation model and studies complexity classes internal to that model. Its separation claim is explicitly model-relative: it concerns P_WCC and NP_WCC under the stated physical and geometric constraints rather than claiming an unrestricted proof of the classical P versus NP problem.
Plain-language overview
Research question
Within a curvature-bounded wave-computation model, do the internal complexity classes P_WCC and NP_WCC separate?
Main contribution
- Defines a curvature-bounded wave-computation model with explicit physical and geometric constraints.
- Establishes a model-relative separation argument for P_WCC and NP_WCC.
Evidence type
Current limitations
The separation is explicitly model-relative and does not claim an unrestricted proof of the classical P versus NP problem.
Research assets
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- Zenodo record (manuscript and files)
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- geometry_of_resonance — equations, manuscripts, and simulations
Related works
Verification and traceability
This section is generated from the canonical publication traceability registry. Empty fields are reported rather than inferred.
- Claim IDs
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- Lean coverage
- Assumptions
- Formalization
- OPEN
- Empirical state
- MODEL_RELATIVE
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- A polynomial-overhead simulation invalidates the claimed separation under the same encoding, precision, and resource assumptions.
Open obligations
- Specify encoding, precision, update cost, resource bounds, and theorem-level relations to standard computational models.
Recommended citation
Reyes, R. J. (May 7, 2025). P vs NP in Curvature-Bounded Wave Computation: A Model-Relative P_WCC ≠ NP_WCC Separation. Zenodo. https://doi.org/10.5281/zenodo.17743607
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Machine-readable identifiers
This landing page provides accessible summaries and citation metadata for an archival preprint. The authoritative manuscript and downloadable files are maintained on the Zenodo DOI record. Wave Confinement Theory is an evolving independent framework; claims should be evaluated according to the derivations, simulations, experiments, data analyses, assumptions, and limitations stated in the paper itself.