Fermat's Principle / Least Time
Version 1.0.0 · Updated 2026-07-30
CORE DEFINITION
Light traveling between two points always takes the path of least time, not the path of least distance. When the refractive index of the medium varies, light bends to keep the time minimal (e.g., mirages).
SCAFFOLDING EFFECT
Reduce cognitive load
Metaphorically, the most efficient path is often a curve. In complex social environments (where different regions have different "refractive indices"), a straight line often encounters the most resistance and takes the longest time. A smart actor, like light, adjusts their route based on environmental resistance, taking a polyline that minimizes time.
Anchor fast decisions
Fermat's principle (principle of least optical path) states that the actual path of light between two points makes the optical path length (the integral of refractive index along the path) take a stationary value (often a minimum). It unifies the laws of reflection and refraction and is a manifestation of the calculus of variations in optics.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E8%B2%BB%E9%A6%AC%E5%8E%9F%E7%90%86verified
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