It happens fairly often in science-fiction stories: a man gets into his spaceship and leaves his homeworld. He flies through space at super-high speeds, and when he comes back after a month he finds out that time passed slower for him. Everybody who he knew back on home has long since died of old age.
It seems impossible, really. Time is time, after all. It just flows along at a nice steady rate, all over the universe. How could time change, just because you went traveling?
First, let's talk about
light. What is light?
A bit over a couple thousand years ago, people in many parts of the world were poking at their surroundings and trying to figure out how things worked. People in both the Greek regions and India came up with an interesting idea: the universe and everything was made up out of lots and lots and lots of really tiny little bits. The Greek philosophers who supported this idea called these little bits
atomos. Some of these philosophers even decided that light itself was made up out of tiny little particles.
Most people considered this all to be totally impractical theorising, though, and ignored the ideas. But the notions never really faded out, and in the 17th Century AD the idea started to catch on in this new thing called "science". Gradually it was established that matter was indeed made up of smaller and smaller and smaller bits.
Then somebody thought to take a look at light. Various tests were conducted, and they were surprised to discover that it, too, acted like it was made out of little bits of something moving along in a stream!
Of course, somebody else had to go and complicate matters. Also in the 17th Century, some other scientists looked at light and decided that it was actually a wave. Various tests were conducted, and light displayed its wave-like qualities.
There was a problem with this wave theory, though.
There are two types of waves:
longitudinal and
transverse. An example of longitudinal waves are soundwaves. To imagine a longitudinal wave, picture a long, long line of billiard balls set out on a flat surface, each a couple of inches from its neighbours. If you then take your cue and hit the first ball, it strikes the second ball and stops. The second ball hits the third ball and stops. The third ball hits the fourth ball and stops. And so on, down the line. The motion is all in one direction. In the case of soundwaves, just substitute air molecules for billiard balls.
Transverse waves work differently. For these, you can imagine a rope tied at one end to a tree. If you take the free end of the rope and give it a strong shake, you can cause a wave to travel down the length of the rope in a big hump. Unlike longitudinal waves, transverse waves move in all sorts of directions at the same time.
If you have one of those
Slinky toys, you can have fun making both kinds of wave!
You'll notice something that both types of waves have in common, though: they need something to travel
through. In the case of the longitudinal wave, it was the line of billiard balls. In the case of the transverse wave, it was the rope. If you took away the rope, there would be nothing there to wave. So to have a wave, you need something there to be waved. You couldn't have a wave of nothingness.
But light travels through a vacuum. In fact, it travels best through one. And a vacuum is nothiness.
Yet scientists had solid evidence that light moves in a wave. What was going on? Well, obviously there was something that the scientists didn't know. And so they came up with the theory of luminiferous aether.
Luminiferous aether was an intangible, undetectable omnipresent "stuff" filling the universe. If the universe was a giant bowl, the luminiferous aether would be a gelatin dessert filling it and all the stars and planets and comets and walruses would be the little bits of fruit floating about within. And it was through the luminiferous aether that the light waves traveled.
Immediately, scientists realised that there were a large number of huge problems with this idea. For one thing, it would require the aether to have no mass yet behave like a solid. But it was the only idea they had that seemed even halfway plausible, so they tried messing around with it to see if there was any way to get it to work.
There had long been one insurmountable obstacle to some experiments with light: clocks. Light travels fast enough to circle the Earth seven and a half times in one second. How, then, could you accurately measure the speed of light if you worked in the 1600's? How could you tell how long it took light to travel from one side of a three-meter wide table to the other (0.00000001 seconds) when the average clock in the 1800's was off by sometimes as much as several seconds? The answer: you couldn't. . .by using a timer. There was a way to sort of get around that, though, and in the late 1800's a man named Albert Michelson figured it out.
They couldn't measure light's actual speed, but they could do the next best thing. You can measure how long it takes one beam of light to travel a known distance, and then compare that to how long it takes another beam of light to travel a similar distance. Then you can see if one beam moves faster than the other!
Michelson eventually got together with another man named Edward Morley, and together they put together one of the most famous science experiments in history: the Michelson–Morley experiment! (I bet you never saw
that coming!) The basic idea behind the experiment was to compare two beams of light that were moving at right angles to each other. The purpose of this had to do with the idea of the luminiferous aether. If the luminiferous aether was a great big omnipresent bunch of something that light travelled through, then the motion of the Earth would make light seem to be travelling at different speeds depending on what direction it came from.
You can imagine this as being sort of like you standing outside in a big field on a windy day. Suppose that the wind is blowing from the north at 10 kph. If you stand still, then you feel the wind blowing southwards at 10 kph. But if you were to run south at 5 kph, then the wind appears to change. It seems to be travelling south at only 5 kph now. And if you were to run south at 15 kph, the wind would then seem to have turned around and be blowing back the other way. The speed of the wind itself didn't actually change if you compare it to how it travels over the field, just your perspective of it. Thus in the frame of reference of the field, the wind is constantly blowing south at 10 kph, while in your own personal frame of reference it is moving at whatever speed.
The same would be true of light travelling in the luminiferous aether. The Michelson–Morley experiment used a
series of mirrors to split a beam of light in half. The two halves of the beam were then sent off at right angles to each other. Both beams of light would have started off at the same speed, since they were originally just one beam from one source going one way. But now they would be travelling in different directions.
At the same time, the Earth would be flying through the luminiferous aether at about 30 kilometers per second around the sun, while the sun is flying through the luminiferous aether at an even greater speed as it circles the
galactic core. So while the light is travelling through the aether's frame of reference at whatever speed light was travelling at, to the Earth's frame of reference the light would often be moving at some other speed. A light ray coming from directly ahead would appear to be moving faster, while one moving from behind would appear to be moving slower. One coming in from the side would seem to be going at about normal speed.
So the Michelson–Morley setup had the two halves of the one beam of light moving at right angles. They would turn the whole device around to point in various directions, and then they would see which of the two halves of the light beam was able to travel a certain distance the fastest. By repeating the process over and over with the device turned in different directions, they'd eventually be able to see in which direction the light travels fastest, in which it travels the slowest, and so on. This would demonstrate the Earth moving through the luminiferous aether.
And so they ran the test, over and over and over. And each time, the results came back the same: both halves of the light beam travelled the distance at just about the same speed. There should have been a noticeable difference, but there wasn't one.
Later experiments with even better equipment came up with the same result. Eventually, it was realised that light
always travels at a certain speed (not counting if you stick something like a glass full of murky water in its path).
Physicists were pretty much unanimous in their agreement that this was really weird. It shouldn't work that way.
Pretend that you're in a car, driving down the road at 100 kph. You're holding a ball in your hand, hanging out the window. You let go of the ball.
From your frame of reference, the ball will seem to drop straight down at 9.8 m/s squared. Its forward speed will, in relation to you, be zero. This is because both you and the ball are moving in the same direction at the same speed, so there is no difference.
From the frame of reference of somebody standing by the side of the road, things would be different. The ball will drop in a curve, heading down at 9.8 m/s squared but also moving in the direction of the car at 100 kph.
You can see this sort of thing in action in all sorts of situations. An airplane flying at 1,000 kph fires a missile; to the pilot of the airplane it looks as though the missile moves forward at 2,000 kph, while to people on the ground it looks as though the missile travels at 3,000 kph. You're running in a baseball game at 30 kph and somebody directly ahead of you throws the ball straight at you at 100 kph; to you, it seems as though the ball is travelling at 130 kph. This is pretty much common sense, and perfectly logical, and seemingly obvious, and is totally unlike how light acts.
Instead of holding a ball while you're in the car, pretend that instead you were holding a flashlight. You point it straight ahead and turn it on. The light shines out and ahead of you. From your frame of reference, the light will be travelling ahead of you at 300,000,000 m/s.
According to all common sense and logic and theory, the view from the bystander's frame of reference should be different. To him, he should see the speed of the car travelling forward added to the speed of the light. To him, the light should appear to be moving down the road at 300,000,000 m/s plus the 100 kph of the car (so about 300,000,027.77777 m/s).
But it doesn't work that way. To the person watching from the side of the road, the light travels at 300,000,000 m/s. If you were to shine the light behind you instead, it would still seem to both you and him to be travelling at 300,000,000 m/s. If you were to somehow drive the car at the speed of light and shine the light in any direction, it would still appear to every person viewing it to be travelling at 300,000,000 m/s.
This discovery was not the result of theory and mathematics. This discovery was made by the actual observation of light doing just that. And so theory had to scramble to catch up to the observations.
So, light always travels at a the same speed. Always. This speed is given the symbol
c. What does this constancy mean, then, in application?
Not much, most of the time. In our day-to-day lives, we don't really care. However, there are situations (mainly theoretical at the moment) where the weird properties of light might have a very weird effect on people.
Suppose that there are two ring-shaped space stations floating somewhere in space, Station A and Station B. Floating an equal distance from both stations is a giant mirror, so that all three objects form a triangle.

Station A flashes a beam of light at the mirror. The light flies through space at speed
c , bounces off the mirror and reaches Station B.

At the exact same instant that the light leaves Station A, a rocket that is flying along passes through the ring of Station A. It flies in a straight line and passes through Station B's ring at the exact same instant that the flash of light reaches Station B.

So, if we look at the whole event from one of the space stations, we see the light travelling in a sort of inverted V-shape.
What does it look like from the point of view of the people in the rocket, though? The flash of light kept pace with them along the length of their journey, always being at right angles to them.

But it also got further away from them as they went along, then at the halfway point started getting closer again. So to the people in the rocket, the flash of light would have appeared to move out in a straight line from them and then come straight back again. The total distance would have appeared to be the height of the station-mirror-station triangle and then back again.

To the station observer, the light travelled a distance equal to the two sides of the triangle. To the rocket's crew, the light travelled a distance equal to the height of the triangle and back. Basic geometry shows that the former distance is going to be greater than the latter distance. So to the crew of the rocket, the light appeared to travel a shorter distance than it did to the station's observer.
But remember, light always travels at the same speed (
c) for everybody. And the distance that the rocket travelled didn't change to anybody.
To calculate the time (
t) taken for a journey, you take the distance (
d) travelled and divide it by the speed (
v, short for "velocity") of travel.
t =
d/
vFor example, if you travelled 100 miles at 50 mph, then the time the trip took was 100/50 hours, or 2 hours.
In our little rocket scenario, the speed at which the light travelled is always the same. So
v =
c in all cases. On the other hand, the distance that the light travelled is different depending on which frame of reference you look at it from. It was shorter to the people in the rocket than it was to the people floating around in space. Just to make the math easier to see, we'll arbitrarily give the distance as seen by the people in the rocket as 10, and that as seen by the other people as 20. We'll also make
c = 2.
Given that
t =
d/
v, we then get two results.
For the people in the rocket:
t = 10/2
For the people in the stations:
t = 20/2
This means that to the people in the rocket, it took the light 5 seconds to go from Station A to Station B. It also means that for the people in the stations, the light took 10 seconds to travel that distance. Two different times for the exact same event. So to the people on the rocket, time went twice as fast for the people on the space stations as it did for the people on the rocket. And to the people on the stations, time went at half speed for the people on the rocket.
By the way, the physicists finally did manage to resolve the particle/wave dispute over light. In its usual weird and contrary manner, light turned out to be both. It travels as a stream of particles (
photons) and as a wave at the same time. It's even a transverse wave, that moves in a sort of helix motion.