Multiplayer BCI

Plausible fiction rapidly becoming testable reality

Information Theoretic Considerations

Multiple EEG devices showing what 3 simultaneous users can generate guided by active language-driven exploration of concepts:

  • Partial Information Decomposition (PID) — measuring synergistic information across concurrent cognitive tasks
  • Entrainment & augmentation — responsive to changing BCI signals
  • Causal arguments — detecting cognitive tasks in noisy environments

Collaborative World Modeling

Rigorous discussion of higher-order interactions across multiple participants, guided by cognitive category theory:

  • Compositional world models — categorically considered constructions
  • Active inference — Bayesian learning at every scale
  • 4Es approach — embodied, embedded, enactive, extended

Open Dynamical Systems

Evolving experiments, governance grammars, and hardware development:

  • Lowering costs & covering experimental gaps
  • Safe citizen science acceleration
  • Social physics of metamathematics

References

Compositional World Modeling Neural Wiring Diagrams Relational Thinking Mathematics of Governance

Pipeline

13 layers +10-1 = 0
L1 Signal Injection OK

Zig-Syrup homoiconic serialization

+ alpha sensor ○ beta sensor − gamma sensor
devices 3
signalsPerCycle 3
serialization homoiconic
→
L2 Multi-World Orchestration OK

Parallel A/B/C test environments

+ a:// world ○ b:// world − c:// world
worlds 3
concurrentPlays 15
versioning Immer immutable
→
L3 Signal Fusion OK

3D Decision Space projection

+ confidence axis ○ convergence axis − mutation axis
convergenceAccuracy 80
dimensions 3
→
L4 Adaptive Learning OK

Q-Learning with entropy sequencing

+ reward generator ○ Q-value update − policy validator
averageReward 1.43
effectiveness 0.9
→
L5 Riemannian Manifolds OK

Gaussian curvature, geodesic routing

+ geodesic path ○ curvature calc − routing validator
geodesicRouting 93.3
curvatureKappa -1.4
→
L6 Bifurcation Analysis OK

Critical transition detection

+ saddle-node ○ pitchfork − Hopf detector
saddleNodes 17
pitchforks 8
hopfBifurcations 3
→
L7 Active Inference OK

Friston's free energy minimization

+ goal generator ○ free energy calc − convergence check
goalConvergence 88
cycles 5
→
L8 Persistent Homology OK

Topological change detection

+ H0 components ○ H1 holes − H2 voids
complex Vietoris-Rips
eulerInvariant B0-B1+B2
→
L9 Multi-Scale Pyramid OK

Hierarchical decomposition with renormalization

+ block averaging ○ coupling tracker − energy transfer
levels 4
coupling micro-macro
→
L10 Lyapunov Stability OK

Energy convergence analysis

+ equilibrium ID ○ energy function − descent verifier
energyDissipation 94.8
descentCondition dV/dt < 0
→
L11 Optimal Control OK

Hamilton-Jacobi-Bellman value iteration

+ control policy ○ value iterator − trajectory check
convergenceIterations 23
costToGo 0.243
→
L12 Sierpinski Topology OK

Fractal signal routing

+ triangle gen ○ fractal decomposer − routing validator
hausdorffDim 1.585
depth 5
triangles 243
→
L13 Relative Homology OK

Feature significance analysis

+ signal extractor ○ relative complex − noise filter
signalToNoise 27.71
significantFeatures 3
threshold 0.35