Here's how Ne might look in action, rather than looking at the internal thought process.
Right now, I have my email inbox, a chat window, this forum, a forum for one of my classes, an essay, a personal project, and a project for work all open and active at once. Of course, music is going, too, but that's in the background.
I'll dart over to an email reply that I'm writing and belt out a few sentences. I'll come back to this forum and read a few posts, or maybe some half-posts. A few seconds later, I'll be over at the chat window, looking for any activity. I go back and look at the email I'm writing.
In writing the email, I have put down a few key words that I wish to elaborate upon--"experience," "goal," "support," "tagging along," "thanks." These are reminders--a rough outline that I intend to fill out and organize, because I know I'd forget each one of the major points if I didn't get them out there. As I elaborate on one point, I stop mid-sentence because something occurred to me on another point, so I go to elaborate on it. This process, along with interruptions belonging to other processes, continues until I've got my email.
As I write this reply, I stop halfway through a sentence and make some alterations to the very first sentence; it somehow came to me that one major difference in this post is that it explains how I act as a result of Ne. So I make that point, then quickly resume where I was. This all comes instinctively, without even thinking about it.
Midway through another sentence, some song comes on that I'm not particularly fond of, so a quick alt+tab to my music server window and a quick keypress, and it's done and over with. I go back and finish that other sentence.
I'm not so sporadic when other people are involved, because I know they wouldn't follow me exactly. But, when left to my own devices, this is my default mode of operation.
And, despite how all of this sounds, I'm pretty productive. I just tackle multiple things at once when striving for productivity.