Preprint · Release 12
Discrete Wave-Constrained Computation and Classical Complexity: Turing Equivalence for P and NP
Abstract
This work defines a discrete wave-constrained computation model and studies its relation to classical Turing computation. It focuses on encoding, simulation, and equivalence conditions for the classical P and NP classes under the stated discrete model.
Plain-language overview
Research question
How does a discrete wave-constrained computation model relate to classical Turing computation for the P and NP classes?
Main contribution
- Defines a discrete wave-constrained computation model.
- Studies encoding, simulation, and equivalence conditions relative to classical Turing computation for P and NP.
Evidence type
Current limitations
Equivalence results hold under the stated discrete model and its encoding assumptions.
Research assets
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- Zenodo record (manuscript and files)
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- geometry_of_resonance — equations, manuscripts, and simulations
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Verification and traceability
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- Formalization
- OPEN
- Empirical state
- MODEL_RELATIVE
- Independent replication
- NONE_RECORDED
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Explicit falsifiers
- The stated encoding or simulation incurs super-polynomial overhead under the declared precision model.
Open obligations
- Formalize the machine model, encoding, precision, update cost, and bidirectional simulation theorems.
Recommended citation
Reyes, R. J. (November 26, 2025). Discrete Wave-Constrained Computation and Classical Complexity: Turing Equivalence for P and NP. Zenodo. https://doi.org/10.5281/zenodo.17732642
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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.