Cover of The Edge of Knowing

The Edge of Knowing

by

Why ice is slippery, why hot mixtures can freeze first, how long Britain’s coastline is: the things we thought we understood, and the simple questions underneath them that…

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About the Book
“A skate blade presses down, a thin film of water melts, and you glide.”

What’s Inside

I

III.01.00 Things We Thought We Understood

II

III.02.00 Patterns at Every Scale

III

III.03.00 The Edge of Geometry

IV

III.04.00 Light, Time, and Gravity

V

III.05.00 The Quantum Threshold

VI

III.06.00 What Cannot Be Solved

VII

III.07.00 At the Limit

VIII

III.08.00 Coda — The Nature of Mathematics

About the Book

In 1963, in a cookery class at Magamba Secondary School in Tanzania, a 13-year-old named Erasto Mpemba watched his hot ice cream mixture freeze before his classmates’ cold ones. His teacher called it nonsense. The boy persisted.

Everyone learns why ice is slippery. A skate blade presses down, a thin film of water melts, and you glide. James Thomson predicted it in 1849, Michael Faraday demonstrated it in the 1850s, and the textbooks agreed for over 150 years. The answer is also wrong.

Britain’s coastline is 17,820 kilometers, according to the Ordnance Survey. It is also 50,000 kilometers, and infinitely long, and all three are correct. Above Palazzo Massimo, a starling tracks six or seven neighbors in the Roman dusk and decides which way to turn. At Brookhaven in 1987, Per Bak watches a simulated sandpile, fed one grain at a time, collapse in a pattern nobody tuned it to follow. At a Saturday market, Maria breaks a head of Romanesco into smaller pieces, then smaller, and every piece is the whole thing again.

These are the things we thought we understood, and the simple questions underneath them that refuse simple answers.

A 19-kilogram granite stone slides 45 meters across pebbled ice. No current theory fully explains how the sweeping works.

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