Cognitive Scaffold

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MENTAL MODEL · M4616

Ultraviolet Catastrophe

Ultraviolet Catastrophe
SystemsHigh supportSystems Theory
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

In the late 19th century, classical statistical mechanics predicted that the energy of blackbody radiation in the high-frequency (ultraviolet) region would tend to infinity, which completely contradicted experimental facts. This catastrophe forced Planck to introduce the concept of quantization, overturning classical physics. Scaffold role: The trigger for a paradigm revolution. When an existing theoretical model derives absurd conclusions (such as infinity) under extreme conditions (high frequency/edge), it indicates that this is not a problem that can be solved with a small patch, but rather that the entire underlying framework (classical mechanics) is wrong. This is a signal that the system is about to collapse and be reconstructed.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

The trigger for a paradigm revolution. When an existing theoretical model derives absurd conclusions (such as infinity) under extreme conditions (high frequency/edge), it indicates that this is not a problem that can be solved with a small patch, but rather that the entire underlying framework (classical mechanics) is wrong. This is a signal that the system is about to collapse and be reconstructed.

anchor

Anchor fast decisions

The classical Rayleigh-Jeans law diverges to infinity in the high-frequency (ultraviolet) end when integrating the energy of blackbody radiation, contradicting experiments (where energy decreases in the ultraviolet region). This indicates that the underlying assumption of 'continuous energy' fails at the microscopic level, serving as a hallmark counterexample of a paradigm crisis.

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Ultraviolet_catastropheZH · Explicit
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