Is Dio's The World actually allowing him to move at the speed of light? According to physics, stopping time would comes with a lot of hindrances such as:


When stopping time, everything including molecules are stopped. You are stuck where you because you can't move air molecules out of the way. Also breathing would be literally impossible.
With all molecules stopped, there would be no heat generated. Your environment would become zero degrees Kelvin (the temperature at which molecules stop moving) and you would freeze to death.
Stopping time stops photons of light from moving, so you are unable to see


Also if Dio actually stopped time, how would this work if his stand only has a 10 meter radius? That means he's creating numerous time ripples because his time stop doesn't apply to anything beyond 10 meters.

Would this mean that instead of stopping time, he is actually moving at the speed of light? According to one hypothetical question on the physics stack exchange, moving at the speed of light would make time appear to stop.
There's going to be some amount of magical hand waving in any time manipulation ability and I haven't seen Jojo or "the world" but perhaps it could be similar to a time stop from Artemis Fowl. A time stop is a finite zone in which time is stopped for the consciousness of all conscious beings inside. To those inside the only effect is that all communications and time dependent devices (clocks, TV, Phone signal, etc.) are stopped and living beings cannot fall asleep. Any natural processes happen normally, there's no wind but you can breathe but you cannot physically leave because the outside world doesn't exist in relation to a time stopped zone. When the time stop ends those affected by it instantly have their time set to normal time (e.g. if time is stopped at noon for 4 hours you experience noon for 4 hours and when it ends your time resumes normally from 4 pm). To those outside the field nothing appears wrong with the time stopped area and you can walk into it but any conscious beings who were inside are gone, trapped in past at the moment the time stop started and will only reappear when it ends. The time stop apparently only traps your consciousness in that moment and detains the body of anyone affected until it ends, this is why I guess the whole molecules/photons not moving isn't a problem.