Economics resonance-flow diagrams

These diagrams describe conceptual flows you can render as SVG, Mermaid, or other formats.

Diagram 1 – Market resonance cycles (Problem 1)#

Nodes:

• Frequency elevation: $$T_f$$
• Triadic friction: $$D_3$$
• Market frequency: $$ω = T_f / D_3$$

Flow:

1. $$T_f$$ enters a division node.
2. $$D_3$$ enters the denominator.
3. Output is $$ω$$.
4. A feedback arrow from “regulatory friction” adjusts $$D_3$$.
5. A compensating arrow adjusts $$T_f$$ to maintain constant $$ω$$.

Diagram 2 – Utility resonance (Problem 2)#

Nodes:

• Composite constant: $$X$$
• Resonant-time: $$τ_r$$
• Log node: $$\ln(1 + τ_r)$$
• Utility: $$U = X \ln(1 + τ_r)$$

Flow:

1. $$τ_r$$ flows into a log node.
2. $$X$$ multiplies the log output.
3. Output is $$U$$.
4. A control arrow from “economic rhythm” adjusts $$τ_r$$.

Diagram 3 – Inflation drift (Problem 3)#

Nodes:

• Temperature coupling: $$ΛΘ$$
• Triadic inflation factor: $$D_9$$
• Inflation drift: $$I = ΛΘ D_9$$

Flow:

1. $$Λ$$ and $$Θ$$ merge to form $$ΛΘ$$.
2. $$D_9$$ enters a multiplier node.
3. Output is $$I$$.
4. A feedback arrow from “policy target” adjusts $$Λ$$ or $$Θ$$.