Also, I wrote:
>>13207495Serperior is "The Regal Pokemon"
lending credence to the royalty aspect.
Furthermore, this gate seems to fit right here [see pic]
So, if Prof Sycamore's lab is located in Lumiose city, I guess he just makes the ride back'n'forth to work each day.
Also, unless he actually can be found in different places from time-to-time, it'll most likely just be his house somewhere in the area, but you'll only see his family members--the same way Elm's house is separate from this lab
well, originally 