Life Physics Model

**Status**: ✅ **Live** - Core implementation complete and validated in production TrajectoryOS models your life as a **dynamical system** with physics-inspired mechanics. Unlike traditional productivity tools that track tasks or goals, we model the underlying forces that determine whether you're stuck in a gravity well or escaping toward freedom. The escape index tells you whether you're: - **η < 0.7**: **Falling** - Deep in gravity well, falling without active effort - **0.7 ≤ η < 0.9**: **Approaching** - Fighting gravity, making progress but not yet breaking free - **0.9 ≤ η < 1.1**: **Threshold** - At escape velocity threshold; on the edge of self-sustaining trajectory - **1.1 ≤ η < 1.5**: **Escaping** - Beyond escape velocity; trajectory is self-sustaining - **η ≥ 1.5**: **Free** - Well beyond escape velocity; strong upward default trajectory **Physical Intuition**: Just like a rocket needs to reach escape velocity to leave Earth's gravity, your life needs enough thrust (capability) to overcome gravity (constraints) and mass (inertia) to achieve freedom. **Implementation**: [/services/trajectory-core/src/domain/physics.ts](../../services/trajectory-core/src/domain/physics.ts#L52-L82)