Preprint · Release 22

WaveLock: A Curvature-Locked One-Way Function Based on Nonlinear PDE Evolution

Richard J. Reyes

Independent Researcher · December 1, 2025 · 10.5281/zenodo.19122146

CategoryCryptographic research Research statusCryptographic prototype

Abstract

WaveLock explores whether nonlinear PDE evolution and path-dependent curvature commitments can support useful one-way behavior. The current work is an experimental cryptographic research artifact with adversarial tests, prototype signatures and ledger components, and explicit unresolved security proof obligations; it is not production cryptography.

Plain-language overview

Research question

Can nonlinear PDE evolution and path-dependent curvature commitments support useful one-way (cryptographic) behavior?

Main contribution

  • Explores a curvature-locked one-way function based on nonlinear PDE evolution.
  • Provides adversarial tests and prototype signature and ledger components.

Evidence type

Conceptual architectureNumerical simulation

Current limitations

This is an experimental research prototype with explicit unresolved security proof obligations; it is not production cryptography.

Research assets

Read & download
Zenodo record (manuscript and files)
Code & data
Wavelock — source code and data
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
None registered
Formalization
PROTOTYPE_ONLY
Empirical state
AUTHOR_GENERATED_ADVERSARIAL_TESTS
Independent replication
NONE_RECORDED
Repositories
Data

Explicit falsifiers

  • A practical inversion, collision, forgery, state-recovery, or parameter-reduction attack defeats the declared security target.

Open obligations

  • Publish a frozen threat model, attack matrix, security reductions or explicit absence thereof, benchmark methodology, and independent cryptanalysis.
Current qualification: This is experimental research software, not production cryptography.

Recommended citation

Reyes, R. J. (December 1, 2025). WaveLock: A Curvature-Locked One-Way Function Based on Nonlinear PDE Evolution. Zenodo. https://doi.org/10.5281/zenodo.19122146

Machine-readable identifiers

DOI
10.5281/zenodo.19122146
Zenodo
https://zenodo.org/records/19122146
Local metadata
https://rickyjreyes.github.io/publications/wavelock-curvature-locked-one-way-function.html
Author
ORCID 0009-0005-5975-8718

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.