Would Headlights Work at Light Speed?

If you were driving at the speed of light and turned on your headlights, what would happen?
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Sources and extras below!!

Thanks to Jude for asking me this question on twitter! Twitter: 550865272895447041

“The Life of the Cosmos” by Lee Smolin: http://www.amazon.co.uk/The-Life-Cosm...
“In Search of the Multiverse” by John Gribbin: http://www.amazon.co.uk/In-Search-Mul...
“The Pig That Wants to be Eaten: by Julian Baggini: http://www.amazon.co.uk/The-Pig-That-...

Relevant MinutePhysics videos:

Common Physics Misconceptions
E=mc² is Incomplete
light slowing down in glass: The Speed of Light in Glass
a different perspective from Sixty Symbols about light slowing down: Why is light slower in glass? - Sixty...

Why is “c” the speed of light?

http://math.ucr.edu/home/baez/physics...

Car at light speed:

http://www.sydneyobservatory.com.au/2...
https://van.physics.illinois.edu/qa/l...
http://www.scienceforums.net/topic/82...
http://www.desy.de/user/projects/Phys...

Light speed is the same in all inertial frames of reference:

http://www.physlink.com/Education/Ask...
https://van.physics.illinois.edu/qa/l...
http://hyperphysics.phy-astr.gsu.edu/...

Relativistic addition of velocities:

http://demonstrations.wolfram.com/Ein...
http://cnx.org/contents/e3a41220-af3f...

doppler shift:

http://commons.wikimedia.org/wiki/Fil...

Relativity:

http://www.refsmmat.com/jsphys/relati...
http://www.astro.virginia.edu/~jh8h/F...

Light speed and catching-up to light.

http://www.pitt.edu/~jdnorton/Goodies...
http://math.ucr.edu/home/baez/physics...
http://www.askamathematician.com/2010...
http://scienceline.ucsb.edu/getkey.ph...
https://van.physics.illinois.edu/qa/l...

Other good relativity resources: http://newt.phys.unsw.edu.au/einstein...

Light echo footage: http://www.spacetelescope.org/videos/...

“fine-tuned” universe:

http://io9.com/5989467/how-does-the-a...
http://en.wikipedia.org/wiki/Fine-tun...
http://rationalwiki.org/wiki/Anthropi...

Irrational numbers: http://mathworld.wolfram.com/Irration...

a million digits of pi: http://www.piday.org/million/

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