»Neo's dreams«

In Reloaded, Neo goes to see the Oracle and the Oracle knows that Neo hasn't been sleeping well. How would she know? She is a prog inside the Matrix and Neo was at Zion. This shows that Neo's powers extend beyond the real world. Or is it the Oracle's powers that extend beyond the Matrix?

Interesting ideas.

When Neo is in the Matrix...his whole mind is connected to it. The Oracle can then 'read' his mind I think.

How Neo has this dreams still bothers me a bit.
Trinity falls out of the window because she went to do the job of the rebels who got killed. They got killed because their ship was attacked in the Real World. How can Neo 'know' this?
I think because it's quite obvious. The machines know that they are going to avoid the security at the hallway of doors. So they go looking for transmitting ships at that moment and they bomb them.

I think Neo has some sort of connection with the Source all the time through his sixth sense. He just doesn't know how to manipulate the Source yet. He only can do this after he touched the Source at the door of light to the Architect.

What do you think?

Thats pretty much it. The Source has got to do with it of course. Neo always does have a connection with the Source, but only realizes parts of it one at a time. The Oracle already knows about Neo's dreams cause its part of the matrix equation (regardless of the fact that he dreams in the real world) and the Oracle can analyze the matrix equations pretty well.