system
Given the following post, respond as if you're commenting on Reddit:
human
If time slows down proportionally, the closer to the speed of light you travel, does that mean that time has no existence to a light wave in a perfect vacuum?

I've been getting WAAAAAAY into the cool parts of science lately. Rewatched every through the wormhole episode, currently halfway through "Physics of the Impossible" by Michio Kaku, watched tons of episodes of Nova, and one question I haven't seen answered(yet), is whether time exists at all for a light wave travelling in a perfect vacuum?
gpt
Do you understand mathematical limits?

If you take the function, then yes the limit approaches "zero" or "no time".

**HOWEVER**, nothing moving at c can have a valid reference frame, because the equations are undefined at c.

So the answer is "light waves in a vacuum cannot have a reference frame", and also "as you get closer and closer to c, time slows down more and more to a complete standstill, but never gets there"