MODEL 05 // Topological Risk & Time-to-Compromise

Kramers Potential Barrier Escape Model

Applied Physics Catalogue
Governing Mathematical Equation
k=Aexp⁡(−ΔEkBT),MTTC=1kk = A \exp\left(-\frac{\Delta E}{k_B T}\right), \quad \text{MTTC} = \frac{1}{k}

Systemic Risk Mechanism & Physics Formulation

Transition state theory modeling stochastic attacker escape across topological energy barriers (ΔE) under threat temperature (k_B T), yielding Mean Time to Compromise (MTTC).

Key Technical Deliverables

>Mean-Time-to-Compromise (MTTC) Epoch Calculation
>Topological Defensive Energy Barrier ΔE Hardening
>Stochastic Monte Carlo Walk Weighting