The existence of dark matter and the accelerating expansion of the Universe both suggest that we are missing something important. These two surprising discoveries have one thing in common: they are related to gravity. Gravity is what holds planets, stars, solar systems and even galaxies together. We experience it every day: it keeps our feet on the ground, and makes things fall down rather than in any other direction.
The best theory we have for describing gravity is Albert Einstein’s general relativity. It poses that gravity is not a literal force of attraction, but rather a consequence of massive objects bending spacetime. An object with mass deforms spacetime a bit like how a heavy ball would push down a trampoline mat. By bending the trampoline mat, lighter balls placed on the trampoline will automatically roll towards the heavy ball.
General relativity has other implications as well, including the existence of black holes and gravitational waves; time passes faster or slower for different observers depending on their relative speed, acceleration and the strength of the gravitational pull they experience; and the path of light is also affected by gravity.
The predictions of general relativity have been proven to be correct, time and time again. But no test of the theory has been made with high precision over the large distances and times that Euclid will cover. This way, Euclid will reveal if general relativity breaks down at the largest scales. If it does, physicists will need to go back to the drawing board.