Sapients Metacognitive Neurophysics Interactive Model Metrics

Interactive neural model calculators bridging microscopic neural currents to macroscopic brainwave measurements

🔬 Release 2: Correct Circuit Model - Two-Stage Resistance

Circuit Diagram: [Synaptic Input] → R_synaptic → [Membrane: R_membrane || C_membrane] → [Output]

Key Insight: The model uses TWO distinct resistances:

  • R_synaptic (~100 MΩ baseline): Receptor-mediated signal resistance (VARIABLE via 5-HT2A modulation)
  • R_membrane (~50 MΩ): Intrinsic ion channel permeability (CONSTANT)
  • C_membrane (~0.1 nF): Membrane capacitance (CONSTANT)

5-HT2A Receptor Downregulation Mechanism:

  • Reduces the number of functional receptor binding sites
  • Effectively increases R_synaptic (fewer parallel signal pathways)
  • Reduces excitatory current reaching the membrane
  • Lowers firing rates and population synchrony
  • Results in lower frequency brainwave states
  • In the framework: Fewer otons active → More itons free → Higher consciousness

Total Impedance Formula: Z_total(f) = R_synaptic + √(R_membrane² + X_C²)

Critical Correction: X_C is calculated at brainwave/firing frequency (1-30 Hz), NOT action potential frequency (~667 Hz). This makes capacitive reactance HIGHLY significant at low frequencies.