Disconnect your RCAs at the amplifier first. Turn the head unit on and see if it still persists. If it's still happening, turn the system off again then disconnect your speaker(s) from the amplifier. Turn it back on and check to see if it persists. If so, turn it back off and check to see if your ground wire is loose on either end...amplifier or chassis ground point. Second: check to see if the power wire is loose at the battery, fuse holder, fuse is loose, or at the amplifier itself. If anything was loose, fix that first, then turn it back on. If it still happens, disconnect your remote wire from the amplifier and run a jumper wire from the remote wire input to your power wire input on the amplifier and see if the light stays red or not. If it is still red, your amplifier has taken a permanent nap until it has been worked on by a repair facility and or just replaced.
Good luck with it and let us know what you come up with.