Chapter 2.2 The speed of light is constant – Space, Time and Einstein

CHAPTER 2.2 The speed of light is constant 
CHAPTER 2.2 The speed of light is constant

Space, Time and Einstein

J. B. Kennedy

PART I – Einstein’s revolution

The speed of light is constant 

The central mystery is light. It is, first of all, astonishingly fast. With a flick of a switch, light floods a room. Before the rise of modern science, it was sometimes thought that light leapt magically across space without taking any time at all. This changed, however, after Galileo first turned the telescope toward the skies in 1609.

Clever astronomers realized they could use the regular orbits of Jupiter’s moons as giant clocks, and were able to measure the speed of light with surprising accuracy. The numbers they produced shocked people. Who could conceive of a speed of 186,000 miles per second or 300,000 kilometres per second?

But another, more perplexing, surprise lay in wait: the speed of light is constant. That is, all observers who measure the speed of light in empty space will find the same number no matter how fast they are moving. An observer standing still will find starlight racing by at 300,000 kilometres per second.

A spaceship cruising at 200,000 kilometres per second and chasing a light beam will still find that the beam races away from the nose of the ship at 300,000 kilometres per second. This means, for example, that no one can race fast enough to catch a light beam. No matter how fast someone is moving, light will be faster by 300,000 kilometres per second.

Figure 2.1 The speed of light is constant. The speed of light is 300,000km/s observed from the rocket, and 300,000km/s observed by the walking figure.
Figure 2.1 The speed of light is constant. The speed of light is 300,000km/s observed from the rocket, and 300,000km/s observed by the walking figure.

This is very peculiar. By way of contrast, consider a speeding motorist being chased along a road by the police. At the start, with the police car at a standstill at the side of the road, the speeding car zips away at 150 kilometres per hour. As the police car reaches 30 kilometres per hour, the speeding car travels only 120 kilometres per hour faster.

As they accelerate, the relative speed of the fugitive drops down further and further, and finally dwindles to zero as the police catch up and race alongside flashing their lights. This is common sense. If the speeding car goes at 150 kilometres per hour and the police are chasing at 130 kilometres per hour, then their relative speed is 20 kilometres per hour.

But light is not commonsensical. Light races away from any standing or moving body at the same speed. The speed of light relative to any moving body is a constant.

This fact was discovered experimentally in the late 1800s. It was so strange there was no agreement about what it meant, or even whether the experiments could be correct. Even today we have no deep explanation of why the speed of light is constant. Many have derived the fact, but only by making other, equally mysterious assumptions. It was Einstein’s great achievement to see this bizarre fact as a clue. He was able to place it at the centre of a powerful new theory, and thus opened up a new vision of our universe.

The constancy of the relative speed of light is an experimental fact. Even today, there is no agreement about why this should be true. Einstein simply assumed it was and drew some surprising consequences.

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