I thought that the nothing-faster-than-light rule was derived from Maxwell’s equations, not Einstein’s.
Light is electro-magnetic radiation that behaves as both a particle and a wave. The electrical charge of the light generates a magnetic field and then that magnetic field generates an electrical charge which then generates a magnetic field and so on. The light wave travels through space via this chicken and egg self propagation process.
It is the near instantaneous relationship between the charge and the magnetic field creating/collapsing each other that sets the ultimate speed limit on things traveling through space, as nothing with mass can happen faster than that.
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