01
Research question
Can a fixed normalized field dynamics solve different search and optimisation tasks by reshaping its effective cost functional?
02
Method and experiment series
Experiments E1–E8 embed oracle/diffusion analogues into a dissipative nonlinear continuum and change task encodings while preserving the underlying field update.
Series: E1–E8 · search · classification · PDEs · maze transport
03
Key results
- 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.
04
What is not established
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.
This work is a numerical proof-of-concept. It establishes model-level behaviour under the stated assumptions and does not replace independent laboratory validation.