Heterogeneous Medium Propagation Routing

Draft summary

This draft preserves Heterogeneous Medium Propagation Routing as a full solution archetype for the accepted prime propagation.

The core pattern is substrate-aware propagation: when spread is uneven, the solution is not merely to increase source intensity, but to map the nonuniform medium, identify preferential pathways and dead zones, and route, bridge, damp, or monitor accordingly.

Gap-fill note

The source queue marks this candidate as a severe zero-any direct gap for propagation. The pre-draft check found nearby propagation artifacts, especially contextual_selective_propagation, constraint_propagation_and_decoupling, wavefront_propagation_management, diffusion_acceleration, diffusion_containment, and network_flow_optimization. The draft remains distinct because the governing object is the heterogeneous medium-property field rather than context matching, constraint transfer, generic diffusion, wavefront edge management, or conserved flow routing.

Use this archetype when

Use it when a signal, resource, practice, heat, water, pathogen, failure, or message travels unevenly because the propagation substrate differs across locations, ties, layers, interfaces, or communities.

Do not use it when

Do not use it as a generic synonym for routing, diffusion, amplification, or network optimization. It applies only when substrate heterogeneity materially changes route, reach, intensity, delay, leakage, or dead-zone behavior.

Compression statement

Propagation often appears to be about the thing being spread: heat, water, signal, infection, influence, attention, failure, practice, or information. In many real systems, however, the decisive structure is the medium through which propagation travels. Variable permeability, resistance, impedance, topology, tie strength, trust, density, capacity, or susceptibility makes some paths easy, some paths blocked, and some regions invisible to the propagating effect. This archetype makes substrate heterogeneity explicit, identifies preferential pathways and shadow regions, and designs routing, reinforcement, damping, or monitoring around those medium properties.

Canonical formula: effective_propagation = source × medium_property_field × topology × boundary_conditions; route_or_compensate(pathways, barriers, dead_zones, hotspots)