Chain · FOCUS-04
Cognitive Repair Day
Three cognitive diagnostics wired to one session. How many usable hours survive context-switching; how fast focus decays inside those hours; how much willpower you have left to spend on the work that matters.
Each stage broadcasts a Live Variable. A repair day shortens the list — fewer concurrent projects, shorter blocks, fewer trivial choices.
Stage 1 prices the CPU overhead of concurrent contexts. Stage 2 runs an exponential decay against a continuous focus block. Stage 3 drains the willpower battery with weighted decisions. The readouts cascade.
Each additional context costs 20% of remaining capacity. Effective usable hours per day pipes downstream.
Focus = 100 × e^(−0.01 × min). Half-life ≈ 69 minutes. Quality percent broadcasts downstream as the cognitive signal-to-noise marker.
Willpower = 100 − Σ(count × weight). Trivial × 1, moderate × 5, heavy × 10. The remaining charge says whether you should decide or defer.
Why this pipeline exists
A single cognitive metric is a mood reading. Three stacked in sequence is a diagnosis. The point of a repair day isn't to be stoic — it's to shrink the inputs so the math comes out different. Change one number and watch the rest fall into line.