DOI-archived release · 28
From Wave Confinement to Recursive AI Instability: A Propagation-Correction Criticality Law and Successful Prospective Prediction
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 From Wave Confinement to Recursive AI Instability: A Propagation-Correction Criticality Law and Successful Prospective Prediction, listed in the research chronology as , with canonical citation DOI 10.5281/zenodo.22757003 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.22757003
- Zenodo record
- https://zenodo.org/records/22757003
- Source repository
- https://github.com/rickyjreyes/geometry_of_resonance
Abstract
This work extends the RCA program with a propagation-versus-correction criticality law for recursive AI systems and audits a prospective quantitative prediction against a later observed incident.
Plain-language overview
Research question
Can recursive AI instability be characterized by a propagation-versus-correction criticality variable that supports prospective quantitative prediction?
Main contribution
- Defines a propagation-correction criticality law for recursive AI dynamics.
- Connects the model to a prospectively stated quantitative prediction and subsequent validation audit.
Evidence type
Current limitations
The current evidence is limited to a small number of author-scored cases; broader preregistered benchmarks and independent evaluation are needed.
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
- MATHEMATICAL_MODEL_AND_AUDIT
- Empirical state
- PROSPECTIVE_PREDICTION_AUDIT
- Independent replication
- NONE_RECORDED
- Repositories
Explicit falsifiers
- Prospective preregistered cases fail the propagation-correction forecast or conventional predictors explain outcomes equally or better.
Open obligations
- Run preregistered multi-case benchmarks with frozen scoring, uncertainty, conventional baselines, and independent evaluation.
Recommended citation
Reyes, R. J. (September 14, 2026). From Wave Confinement to Recursive AI Instability: A Propagation-Correction Criticality Law and Successful Prospective Prediction. Zenodo. https://doi.org/10.5281/zenodo.22757003
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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.