Research question
Can a fixed normalized field dynamics solve different search and optimisation tasks by reshaping its effective cost functional?
MODEL SCOPE
Public model description
One dissipative nonlinear complex-field update is retained while task-specific oracle, diffusion, and cost terms reshape the effective functional.
PROTOCOL
Declared evidence chain
E1–E8 exercise pattern memory, classification, strong-noise and vortex stress, multi-oracle search, PDE cost minimisation, and directional maze transport.
Series: E1–E8 · search · classification · PDEs · maze transport
- E1–E8
- search
- classification
- PDEs
- maze transport
The labels below preserve the public protocol identity. They are an index to the publication, not a substitute for its full methods or an open reproducibility bundle.
EVIDENCE
Results inside the model
INTERACTIVE MODEL LENS
Cost-landscape lens
A normalized view of task encoding, cost-functional reshaping, and dissipative relaxation across search, PDE, classification, and path tasks.
Dissipative dynamics concentrate the model state in a selected low-cost basin.
- One substrate is exercised across search, classification, PDE, and path-finding tasks.
- Stress tests include strong phase noise and vortices.
- The report provides a numbered visual record for all eight experiment groups.
BOUNDARY
CLAIM BOUNDARY
- 01Declared numerical protocol
E1–E8 · search · classification · PDEs · maze transport
- 02Supported model-level finding
One substrate is exercised across search, classification, PDE, and path-finding tasks.
- Claim boundary
- 03Requires a separate validation chain
Grover-like refers to the model encoding and amplification pattern; no quantum speed-up, complexity advantage, hardware realization, or superiority over conventional solvers is established.
Numerical evidence is not physical validation. Transfer to a material, device, organism, environment, or operational service requires a separate validation chain whenever such a transfer is relevant.
Publication record
- Author
- Nikita Teslia
- Programme
- Foundational systems
- Claim type
- Numerical proof-of-concept
- Year
- 2025
- Dossier review
- Series
- E1–E8 · search · classification · PDEs · maze transport
- License
- CC BY-NC-ND 4.0
- DOI
- 10.5281/zenodo.17899976
Citation
Teslia, N. (2025). V10: Phase-Field Grover Machine for Physical Cost Minimisation. Zenodo. https://doi.org/10.5281/zenodo.17899976Open publication recordThe DOI is the canonical external record. The site condenses the public publication and does not replace it.
PROGRAMME TOPOLOGY
Research lineage
Lineage records publication sequence and explicit revision or supersession links. It does not assert empirical causation or an otherwise unverified cross-branch dependence.