Latent State Representation

Your life trajectory cannot be fully captured by observable variables alone. There's a **hidden structure**—a latent state—that determines how you respond to opportunities, challenges, and actions. Think of it like physics: - **Observable**: Position, velocity (where you are, how fast you're moving) - **Latent**: Energy, momentum, potential (what determines future motion) In TrajectoryOS: - **Observable**: Projects, skills, constraints (what we can measure directly) - **Latent**: Your deep capability, direction, internal state (what predicts future evolution) This vector encodes: - **Skill landscape**: What you truly know (beyond self-reported confidence) - **Directional intent**: Where you're naturally pulled - **Energy/capacity**: Current creative/cognitive reserves - **Constraint burden**: Invisible load from obligations - **Growth trajectory**: Momentum and rate of change **Solution**: The latent vector `z_t` models the **true underlying state**, which generates observables through a learned function.