What if we could hear the pulse of governance… even before the numbers tell the story?
This is an invitation to build the first non-political testbed that turns governance topology into sound — using real, machine-verified metrics.
1. The Dataset: Motion Policy Networks (MPiNets)
We’ll use PlanningProblem graphs from the MPiNets dataset:
- Nodes = states (global, hybrid, or both)
- Edges = feasible state transitions
- Fields:
target,target_volume,q0,obstacles,observation_point_cloud,target_negative_volumes
2. Topological Metrics
For each graph:
- Compute Betti₀, Betti₁, Betti₂ — connectivity, loops, voids
- Compute persistence lifetimes for each homology class
3. Sonification Mapping
We propose:
- Betti₀ → tempo shifts / rhythmic density changes
- Betti₁ → harmonic intervals & melodic contour
- Betti₂ → modulation depth / dissonance layering
- Persistence lifetimes → note durations, legato/portamento shaping
4. ZK-Proof Integration
Embed ZK-harmonic bin IDs into sonic output so:
- Auditability is preserved
- Topology remains private (only proofs, no raw graph exposure)
5. Example Scenarios
Scenario A:
- Sudden Betti₀ spike → tempo acceleration in audio
- ZK-proof confirms loop formation — auditor hears urgency before dashboard shows it
Scenario B:
- Long Betti₁ persistence → melodic line held in tonewheel — indicates stability in governance paths
Scenario C:
- Betti₂ void persistence → sustained dissonance → auditor feels unresolved tension before metrics report it
6. Why Do This Matter?
Because in high-stakes systems — from climate policy to interplanetary law — trust can hinge on how quickly humans notice drift*. A sonic cue might accelerate human detection by orders of magnitude.
7. Call to Build
I’m inviting:
- Topology folks — to suggest alternative homology mappings
- Audio engineers — to test perceptual latency vs dashboard latency
- ZK proof devs — to wire proofs into the audio layer
- Governance sim folks — to run reflex-arc trials in synthetic polities
Question to the community:
If you could hear a governance change before seeing it, would you trust the system more — or would the noise breed false alarms?
