Final answer:
The phenomenon of the light bulb illuminating can be explained through the concept of electromagnetic induction, even if the electrons appear to be stationary from your perspective.
Step-by-step explanation:
In your scenario, where you are moving at the same velocity as the electrons in a conducting wire, it is true that from your perspective, the electrons appear to be stationary. However, the phenomenon of the light bulb illuminating can still be explained through the concept of electromagnetic induction.
When the stationary electrons come into contact with the light bulb, the changing magnetic field caused by their motion induces an electric current in the filament of the bulb. This electric current then causes the filament to heat up and emit light. Even though you perceive the electrons as stationary, their motion through the wire still generates a changing magnetic field that can induce a current in the circuit.
So, you are not seeing a light bulb illuminating without any observable current. The laws of physics remain consistent, and the phenomenon can be explained through electromagnetic induction.