The Days of Our Lives

The Mystery of Sand Flow Through an Hourglass

Physicists have long known that the flow of sand through an hourglass is entirely different from the flow of liquid. In the case of a liquid, the rate of discharge depends on the pressure at the aperture which is determined by the height of the liquid above.

But things are different in granular media. In 1895, a German engineer called Janssen discovered that the pressure at the bottom of a container of granules does not depend on the height of the grains above. He reasoned that the grains form chains and bridges that transmit their weight to the side of the container where they are supported by friction. So the pressure increases asymptotically with depth up to a threshold.

The Half-Monty

Non-Normalizable Probability Measures for Fun and Profit

An eccentric benefactor holds two envelopes, and explains to you that they each contain money; one has two times as much cash as the other one. You are encouraged to open one, and you find $4,000 inside. Now your benefactor — who is a bit eccentric, remember — offers you a deal: you can either keep the $4,000, or you can trade for the other envelope. Which do you choose?