Constraint-native computation through continuous resolution of interacting physical constraints in a medium lacking stored computational topology

A method of computation comprising:

• introducing excitation into a physical medium lacking stored computational topology;
• allowing said excitation to evolve within said physical medium;
• continuously resolving interacting physical constraints during physical evolution of said physical medium;
• producing one or more resulting physical states through said evolution;
• observing one or more physical observables associated with said resulting physical states;
• and determining computational output from said observed physical observables.

A physical computational medium comprising:

• one or more physical structures, materials, domains, field interactions, boundary conditions, governing relationships, or combinations thereof configured to support physical evolution within said medium;
• wherein interacting physical constraints within said medium govern said physical evolution;
• wherein computation arises through continuous resolution of said interacting physical constraints;
• wherein said medium lacks stored computational topology encoding computational mappings, routing arrangements, logical organization, computational pathways, or computational outcomes prior to operation;
• and wherein resulting physical states produced by said evolution are observable to determine computational output.

A computational output determination system comprising:

• a physical medium in which computation occurs through continuous resolution of interacting physical constraints during physical evolution;
• one or more observation mechanisms configured to measure physical observables associated with resulting physical states of said medium;
• and an output determination mechanism configured to determine output from said physical observables;
• wherein observation measures consequences of computation and does not constitute the computational mechanism itself.

A computational system comprising:

• a physical medium configured to support physical evolution governed by interacting physical constraints;
• wherein repeated physical evolution modifies one or more governing physical parameters of said medium;
• wherein modification of said governing physical parameters influences subsequent convergence behavior of said medium;
• wherein convergence behavior arises from continuous resolution of interacting physical constraints during physical evolution;
• and wherein said modification occurs without storing computational trajectories, routing structures, or computational topology as explicit computational entities.