What do I see if I walk forward through a superdense transparent medium?

[danR]

I am walking at 2 metre/sec and light, from a flashlight behind me, is moving at 1 m/s.

So my eyeballs are catching up with the photons ahead of me. Do I see the flashlight? Do backward photons look strange? Are they red-shifted, blue-shifted? Assume my optics have been replaced with hyperdense refracting material.

 

[Pengwuino]

If you're in a medium where light effectively travels at 1m/s, there's no chance in hell you're going to be able to move at 2m/s in it.

 

[Bill_K]

Never mind photons, this is a classical E&M problem, and a nonrelativistic one at that since you're only moving at 2 m/s. No paradoxes involved. There's a changing E&M field in front of you and you're moving through it faster than the fields are advancing. You'll see this "light" blue-shifted, since you're encountering crests at a faster rate. You'll also see the flashlight behind you, but as you move away from it you'll see it with light that left it farther and farther in the past.

 

[harrylin]

Never mind photons, this is a classical E&M problem, and a nonrelativistic one at that since you're only moving at 2 m/s. No paradoxes involved. There's a changing E&M field in front of you and you're moving through it faster than the fields are advancing. You'll see this "light" blue-shifted, since you're encountering crests at a faster rate. You'll also see the flashlight behind you, but as you move away from it you'll see it with light that left it farther and farther in the past.

Yes it's a classical E&M problem (Heaviside and Cherenkov), but how can you receive the light from behind if you are going faster than the light? Or do you mean that you will receive the light from in front of you?

 

[danR]

If you're in a medium where light effectively travels at 1m/s, there's no chance in hell you're going to be able to move at 2m/s in it.

It's a gedankenexperiment. I can do whatever the hell I want . Within theoretical reason.

 

[danR]

Yes it's a classical E&M problem (Heaviside and Cherenkov), but how can you receive the light from behind if you are going faster than the light? Or do you mean that you will receive the light from in front of you?

I just mean the flashlight's been on for a while.

 

[danR]

Never mind photons, this is a classical E&M problem, and a nonrelativistic one at that since you're only moving at 2 m/s. No paradoxes involved. There's a changing E&M field in front of you and you're moving through it faster than the fields are advancing. You'll see this "light" blue-shifted, since you're encountering crests at a faster rate. You'll also see the flashlight behind you, but as you move away from it you'll see it with light that left it farther and farther in the past.

I should think I'd be seeing it red-shifted. I'm catching up with the wave-crests at a relative speed of half, 1 m/s, what would pertain simply facing the light--2 m/s.

I'm using photons because they are trendy. I don't believe in relativity paradoxes, just used to posting in the relativity section. I'm just curious about what I'd see.

Now that I think of it, the experiment could be realized using acoustic imaging analogues.