Dynamics and lenses · Foray 120

Foray 120 · September 2026

Can a blueprint carry the dynamics?

Construct the states, wire the workfronts, and generate completion paths. Test whether a progress picture carries enough information to plan—and why adding a hoist can invalidate a previously sufficient summary.

New within #13: Continuous dynamics — manifold, tangent bundle, section and trajectory. See how two smooth ways can differ on whether they reach the same end.

Seven distinct essays remain. Their original numbers are stable; the gaps mark consolidated earlier attempts.

Start with #12: choices and policies, compare spatial routes in #5, explore observation in #6 and timing rules in #8, then inspect wiring in #9 or weather-constrained work in #11. The constructive experiment #13 asks whether the full end can actually be reached.

Why partial visibility matters: the same progress report can conceal different readiness, resources or future options. An observation can support a decision only if it preserves the distinctions that decision needs. These are explicit toy models, not forecasts for arbitrary projects.

What was kept and consolidated · Companion notes to #6