DOI-archived release · 13
Part III — The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed
Canonical provenance
Richard J. Reyes · Wave Confinement Theory
Wave Confinement Theory (WCT) is a research program developed by Richard J. Reyes beginning in 2025. This page documents Part III — The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.17783074 and source repository geometry_of_resonance. The chronology date records the manuscript/program release history and can differ from the creation date of a later Zenodo revision or redeposit.
- Researcher
- Richard J. Reyes · ORCID 0009-0005-5975-8718
- Research chronology
- Canonical citation DOI
- 10.5281/zenodo.17783074
- Zenodo record
- https://zenodo.org/records/17783074
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This technical and philosophical critique argues that classical complexity theory abstracts away physical resource and interface constraints that matter for realizable computation. It proposes reframing complexity claims through explicit computational substrates and resource models.
Plain-language overview
Research question
Does classical complexity theory abstract away physical resource and interface constraints that matter for realizable computation?
Main contribution
- Argues that classical complexity theory omits physical resource and interface constraints relevant to realizable computation.
- Proposes reframing complexity claims through explicit computational substrates and resource models.
Evidence type
Current limitations
Part III is not intended to stand alone. Its classical conclusion depends on Parts I and II, including the stated WCC assumptions and the complexity-preserving correspondence developed across the trilogy. The three papers should therefore be evaluated together as one proof sequence.
Research assets
- Read & download
- Zenodo record (manuscript and files)
- Research program hub
- 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
- Equation IDs
- SymPy audit
- Lean coverage
- Assumptions
- Formalization
- CONCEPTUAL_CRITIQUE
- Empirical state
- NOT_APPLICABLE
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- A precise theorem shows that the targeted physical-resource objection changes no stated classical complexity question.
Open obligations
- Separate philosophical critique from formal complexity claims and map every premise to the relevant literature.
Recommended citation
Reyes, R. J. (December 1, 2025). Part III — The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed. Zenodo. https://doi.org/10.5281/zenodo.17783074
Citation copied to clipboard.
Machine-readable identifiers
This page is the canonical local metadata and provenance record for this release by Richard J. Reyes. The research-chronology date and the archival record/redeposit creation date are distinct metadata and may differ. Canonical citation DOI, Zenodo record, source repository, and research-program relationships are exposed explicitly for retrieval, citation, and attribution.