Cover of Mr Tompkins in Wonderland

Mr Tompkins in Wonderland

George Gamow

4 ideas

  1. The cyclist in the slow-light town

    Mr Tompkins, a bank clerk, dreams of a city where the speed of light is about ten miles an hour. A passing cyclist looks flattened to him along the direction of travel. When Tompkins rides a bicycle himself, he sees nothing odd about his own body, but the streets and buildings ahead shorten and the blocks grow shorter the harder he pedals. The episode shows length contraction as a relation between frames, not a property of any one object.

  2. Common sense reflects extreme physical constants

    Everyday intuition about absolute time, rigid lengths and sharply located objects is not wrong. It is a limiting case, accurate only because the speed of light is enormous and Planck's constant is tiny compared with human scales. If those constants took human-sized values, relativistic and quantum effects would be ordinary experience, and our intuitions would have formed around them instead.

  3. Rescale a constant to expose a law

    To make an invisible principle perceptible, keep the law unchanged and dial one fundamental constant to a human-scale value. The effect then shows up in familiar scenes like streets, trains and billiard tables. This turns an abstract equation into a vivid consequence that a non-specialist can reason about directly.

  4. Quantum billiards: balls without definite paths

    In a dream world where Planck's constant is large, billiard balls spread out as they roll. They fan across the table like a wave, and it becomes impossible to say which pocket a ball will enter. You can only give probabilities. Pinning down a ball's position makes its motion more uncertain, which acts out the uncertainty principle and wave-particle duality at tabletop scale.

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