Fixed token budget. Variable opening. Wide open = more sources, thinner signal.
Stopped down = denser coherence, narrower depth of field. Diffraction zone: too closed, edge cases vanish.
Wide openStopped downDiffraction
Admitted sources
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Signal density
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Noise / contradiction risk
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Depth of field
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Recommended policy
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Mapping: N ≈ f/D → admitted ≈ C · g(N); denser signal as N rises (tokens per source ↑).
Optional: Airy / diffraction note
In optics, the Airy disk angular radius scales ≈ 2.44 λ N (N = f-number).
Here the same idea is a metaphor: past a sweet spot (~2 stops from wide open),
further stopping-down shrinks the effective admission aperture until useful
edge cases fall below the diffraction floor — not more “truth,” just less coverage.
Formula caption is mnemonic, not a production ranking equation.