Huh, I'm guessing the HP reference may suggest these characters dwell in the world where there are parallel universes, one normal as we know it, the other magical and supernatural, and there's a conduit between them that these characters can pass through back and forth.
It's certainly possible, though short of reading the whole script I wouldn't venture a guess. My presumption just based on the sides was that it was more of an alternate reality than a parallel universe situation - not so much that the magic world is aware of the muggle world, a-la-HP, and sort of supercedes it.
*WARNING... POTENTIAL FRINGE S3 SPOILERS BELOW....*
Rather more like the construct in Fringe
, whereby some cities/parts of the world in the alternate universe are more or less the same, but others quite different. (New York City/state is more or less the same, though the Twin Towers are still standing, Statue of Liberty is polished to her original copper, etc. Meanwhile, a map of the alternate
U.S. shows half of California missing, Texas split into North and South states, Kansas and Oklahoma joined as a state called "Midland", and all sorts of other differences.
To take it one step further, there's the notion that this show's universe is presented as the ONLY one known to exist, i.e., there is no "parallel" world to represent the "real" world. (Best example like this would probably be Watchmen
; the 1985 presented there doesn't exist parallel to "our" own, it simply IS. It's a complete "what-if". ;) )