Is space continuous?

Question

Take a particle, it has a position $(x, y, z)$ maybe it is $(0.231, 8.962, 10.567)$.

Is there a maximum precision to this? Is the space discrete or continuous? If it is discrete, how thin the measurement is between a point A and B in space?

Answer 1

There is no experimental evidence that space is discrete, but there are theoretical reasons to think it might be.

https://en.wikipedia.org/wiki/Loop_quantum_gravity

If it is in fact discrete, the smallest length is expected to be on the order of the Planck length, $\sqrt{\hbar G/c^3}$, built out of Planck’s constant, Newton’s gravitational constant, and the speed of light. This distance is a minuscule $1.6\times 10^{-35}$ meters, so you can see why we haven’t detected any discreteness yet.