Gravitation and spacetime
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No matter how fast you try and catch up, light always appears to zip away from you at almost ,, metres per second. Why is this important?
Understanding gravity—warps and ripples in space and time
Interactive Imagining a light clock in slow motion. For your friend, the clock seems to be working normally—the particles of light travel up and down, as expected, and time proceeds in its usual fashion. But from your perspective, watching the ship pass by, the light is moving both up and down and to the side, with the ship. The light travels a longer distance with each tick.
The faster you travel through space, the slower you travel through time. But whose time is really slowed down? Is it the person on Earth, watching his friend zip past in her spaceship? When she leaves, the spaceship accelerates away from Earth. When she returns, the spaceship decelerates to avoid a crash landing. In both leaving and returning, the spaceship changes its frame of reference GLOSSARY frame of reference The physical environment of an observer that involves their state of motion.
A person travelling in one car is in a different frame of reference than someone travelling in a car going a different speed or direction, or a pedestrian at the side of the road, or someone travelling overhead in a plane, etc. This breaks the symmetry of the situation, and when the spaceship lands back on Earth, our astronaut really will be younger than her Earthbound counterpart. The faster you travel through space, the slower you travel through time, and vice versa.
Another consequence of special relativity is that fast-moving objects appear to contract in size, in the direction of their motion. This follows from the distortion of time—after all, you can measure the length of something by the amount of space something travels through time e. Unlike the age differences that can arise from time dilation, there are no residual effects due to length contraction once the moving object and the observer are reunited. Imagine waking up in a spaceship, accelerating through space.
Einstein said no—just as Galileo imagined the indistinguishability between a person inside a smooth-sailing ship confined without windows and a person on land, Einstein realised that the effects of acceleration and gravity were indistinguishable too. This is called the equivalence principle GLOSSARY equivalence principle The effects of being in a gravitational field are indistinguishable from the effects of being in an accelerated frame of reference.
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Once Einstein had formulated the equivalence principle, gravity became less mysterious.