Editing Openai/693b7cce-38f4-800d-92f7-5e56a467bfa7 (section)

=== Assistant: Nice — I’ll give you a compact, implementation-ready mathematical model for knowledge diffusion across the 6-degree soc… ===
Nice — I’ll give you a compact, implementation-ready mathematical model for knowledge diffusion across the 6-degree social graph that ties together the personality, emotion, trust, public/private visibility, mutation (rumor), decay, and recursive common-knowledge mechanics we’ve designed so far.

I’ll provide:
* A set of agent-level ODEs (continuous-time) and a discrete update suitable for agent-based simulation.
* Matrix / vector form (efficient for simulation at scale).
* Equations for propagation attenuation by degree, sharing probability (personality & emotion), mutation/telephone effect, memory decay, and meta-belief recursion used to compute common knowledge depth.
* A recommended numerical method, sample parameter ranges, and notes for implementation.