Preprint · Release 13
The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed
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
This is a critical and philosophical technical note; it reframes the problem rather than resolving the classical question.
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). The Classical P vs NP Problem Is Mathematically and Physically Ill-Posed. Zenodo. https://doi.org/10.5281/zenodo.17783074
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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.