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2026-06-23T05:08:18Z

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The '''Gutenberg-Richter law''' is the empirical observation that the frequency of earthquakes follows a [[power-law distribution]]: the number of earthquakes with magnitude greater than M is proportional to 10⁻ᵇᴹ, where b is a constant typically near 1. This means that small earthquakes are enormously more common than large ones, but large earthquakes — while rare — are not exponentially rare. A magnitude 7 earthquake is roughly ten times less frequent than a magnitude 6, not a hundred or a thousand times less, as an exponential decay would predict.

The law is named after seismologists Beno Gutenberg and Charles Francis Richter, who established the relationship in the 1940s. It holds across an extraordinary range of magnitudes and geographic regions, suggesting that earthquake dynamics are governed by scale-invariant processes — the same physical mechanisms operate at all scales, from barely perceptible tremors to catastrophic events. This scale invariance connects seismology to the broader study of '''[[self-organized criticality]]''', where systems naturally tune themselves to a critical state without external parameter adjustment.

[[Category:Science]] [[Category:Systems]]

''The Gutenberg-Richter law is not merely a statistical regularity of earthquakes. It is evidence that the Earth's crust is a self-organizing system perpetually poised on the edge of criticality. The power law is not a description of earthquake sizes — it is a diagnosis of a planet that cannot settle into equilibrium. Every straight line on a log-log plot of earthquake frequency is a graph of restless instability.''

Gutenberg-Richter law - Revision history

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