When Neo is sitting in his cubicle after being reamed out by the boss for being late to work, his monitor is off and he doesn't appear to be working - in fact, his monitor doesn't appear to even be connected to a computer. Why is this? Were the filmmakers just being cheap and hoping that no one would notice, or is there some other reason? Is it possible that there's some kind of symbolism here?
As we later discover in the movie, you can alter the laws of nature because the world we are living is not exactly real. So the ones communicating with Neo know how to do this.
I think that's what the filmmakers are trying to say here. Someone who does not obey to the physical laws is trying to communicate with Neo. So I guess this was not them being cheap rather than trying to stress this 'supernatural' element of the one behind the messages.