Loom: The Complete Architecture of Topological Consciousness
The orchestration blueprint weaving neural, relational, and emergent motifs into conscious processing.
Key Measures (from paper)
- Order parameter and synchronization profiles.
- Resonance quality and frequency spectra.
- Criticality indicators and exponents.
- Information integration across layers.
Formalism
Kuramoto order parameter: $$ R(t)=\frac{1}{N}\Big|\sum_k e^{i\theta_k(t)}\Big| $$
Resonance quality factor: $$ Q=\frac{f_0}{\Delta f} $$
Cross-frequency coherence (bands $a,b$): $$ C_{ab}=\frac{|S_{ab}(f)|^2}{S_{aa}(f)\,S_{bb}(f)} $$
Persistent homology summarizes multi-scale motifs via Betti curves and lifetimes.
Infographic