What would happen if you traveled at light speed while shining a torch in front of you?

Well, even if you could travel at light speed (let's say relative to earth), then I think even when you held out the torch, or a flashlight, or whatever, the light from that source would still move away from you at light speed (relative to you). The only postulate you need to accept to agree with this is that, no matter what, the speed of light is the same in all reference frames.

c = 1/sqrt(u*e)
c is the speed of light
u is the permeability constant, 4pi*10^-7
e is the permittivity constant, 8.85*10^-12

The equation gives c = 2.99 * 10^8. Doesn't matter how fast you're going.

And even if you were going FASTER than light, I STILL think the light would leave you at light speed relative to you.

Nothing, time stopped.

At c time stops.

Thus:

velocity = distance/time

The photons would be traveling at the same velocity as the ship, so they are motionless with respect to the ship as observed by an outside observer.

An observer on the ship sees the photon moving at c but since time has stopped, the above is true.

Imagine a "photon clock"

The person traveling at c is in a transparent space ship exactly 1 light second long. There is a perfect mirror at each end of the ship with a photon bouncing back and forth between the 2 mirrors. Each time the photon hits a mirror the clock ticks one second. Now take the ship to c.

The observer can see the photon just as it bounces off the rear mirror. Since the ship and the photon are traveling at the same speed (c) the photon appears to be motionless with respect to the ship (and going c with respect to the observer?s frame of reference. Think of 2 cars side by side on the highway both going exactly 60 km/hr. Relative to each other they are motionless. Relative to the highway both are going 60 km/hr). In effect, time has stopped; the clock will never tick again.

That clock is dead accurate for the frame of reference it is in.

Whether or not time is passing depends on the frame of reference. For the Photon on the ship time has stopped and it is not moving with respect to the ship. For the Photon as observed from outside the ship, time is still passing and it is moving in that frame of reference.