The Physics Model

How Atrion models system stress as physical forces — making wrong behavior physically unsustainable rather than explicitly forbidden.

"Don't forbid wrong behavior. Make it physically unsustainable."

The Core Equation

The total resistance of a route is the sum of static, dynamic, and historical components:

R(t) = Rbase + P + μM + S

Component Physical Analogy Role
Rbase Static topological cost Network distance, known latency
P (Pressure) Instantaneous stress Current system load from telemetry
μM (Momentum) Damping force Rate of change — proactive braking
S (Scar Tissue) Historical trauma Memory of past failures, decays over time

Pressure Vector

System stress is modeled as a 3-dimensional vector from your monitoring:

plat

Latency pressure

tanh(latency / baseline)

perr

Error density

tanh(error_rate / scale)

psat

Resource saturation

tanh(queue_depth / max)

Scar Tissue

Historical trauma accumulates as structural resistance with exponential decay:

S(t) = S(t-1) × e-λΔt + σ × I(‖P‖ > Pcrit)

λ (decay)

Forgiveness rate — how fast the system "heals"

σ (scar factor)

Trauma weight — how much damage accumulates

The Four Axioms

1. Decision → Flow

Routing is potential energy overcoming resistance

2. Constraint → Dynamic Resistance

Limits are variable forces, not static walls

3. Memory → Scar Tissue

Past failures leave traces that decay over time

4. Rejection → Impedance

Requests shed when voltage cannot overcome resistance

./concepts ./architecture