If Time is defined as the movement of Matter (or definable points) through space, does Time stop at 0K?

TIME is constant MOVEMENT inherent in matter, but in the direction of the FOURTH DIMENSION --That is why time still passes when stuff is "standing still."

Two cars matching speed on the highway look motionless to each other----Time can be thought of as the motion on the highway. All movement between the cars is RELATIVE --Should one VEER off at an angle--they would see motion, but slower than the highway speed. The greater the veer angle, the greater the relative speed.

Time is not just defined by movement, it's defined by energy differentials, and then the flow of excess energy from one location to another. When energy flow stops, then movement stops, and then time stops. Theoretically, time will stop when the entire universe is at thermal equilibrium, where no two adjacent locations of space have any excess heat over each other. That's when absolute zero is reached.

However, theory (Heisenberg's Uncertainty Principle) also tells us that it's impossible for any two adjacent locations of space to remain at thermal equilibrium for long. There will always be an energy fluctuation that will take one spot in space to a higher energy level than another, and then that energy will want to flow towards the lower energy space. So time can't stop. You can get to the edge of the heat death of the universe, but an energy fluctuation will occur that will restart the universe again.

Nope, you got your "definition" wrong. Time is not defined by movement through space.

Of course not. And time is not defined by movement through space. An object moves in time even when at rest.

But what does that mean--"for those particles"? How does time exist for a particle?