Exactly, so is there current flow through that zero ohm resistor? Perpetually? I suppose by induction?
No, there's no current flow, or hardly any at all.
When a dynamic driver's diaphragm isn't in its rest position, it acts as a generator (coil of wire in a magnetic field; this is how a dynamic microphone works).
No, that isn't correct. Being offset from the rest position isn't what generates the voltage, it's motion through the magnetic field which generates the voltage.
This is how the brake works:
When the speaker's cone is caused to move by soundwaves impinging on it, the motion of the voice coil through the magnetic field produces a voltage at the speaker's terminals. No current can flow if the terminals are open circuit, but there's a voltage there.
If you place a short circuit across the terminals a current
can flow when the cone is caused to move, but the flow of current produces a magnetic field around the voice coil which interacts with the permanent magnetic field and opposes the motion of the diaphrgm. The effect is called "back EMF".
If you google "back EMF" you should get plenty of results. An amplifier with a very low output impedance has the same effect as a short circuit across the speaker terminals.
Exactly, so is there current flow through that zero ohm resistor? Perpetually? I suppose by induction?
Actually, yes current does flow, but only when something causes the speaker cone to move.