i'm all for "experimenting", but the op's plan is near pointless. he would get a lot more out of reading a couple stickies in the newbie section than he would trying to grow a plant with no light. taking 4 weeks to find this out is a hell of a lot less efficient than reading a few paragraphs about basic stuff.
if you want a spoiler, i had a buddy a long time ago who for fun stuck a weed seed in a pot and left it in his bedroom similar to what you would an ordinary houseplant. after 4 weeks the stem was about 8 inches long and hanging over the pot, and it never grew anything past the cotyledon leaves. he even had me right there telling him why this was pointless the day he planted it but he insisted. all he learned was that he should have listened to me.
if you really want this experiment to be worth a damn, i suggest a full-on window sill grow. i did this every year from the age of 19-22 in an empty apartment in my building. you figure which windows have sun for the longest duration (in the northeast US these are southern facing windows) and you simply rotate the plant a quarter turn per day. NEVER turn the lights on at night unless you move the plants. this is more for security than for the plant. at night when the lights are on you can see right in a window, and pot plants are obvious. in the daytime, the screen obscures the ability to see what's inside. leave the window open, screen down, and the plant will grow and flower naturally when the days shorten, just as it would outside. once flowering starts, you can't just "live" like normal. if you need to use the room at night (i.e. turn on the lights) you need to put the plants in a different dark room and remember to put them back when you are done. don't listen to anyone who tells you this doesn't work, because i can assure you it most certainly does. you won't get pounds or anything, but you will be shocked and amazed at how much you actually do get if you're taking the project seriously.
seriously, though. do read up on the subject and understand the basics of growing plants. it's going to take you a lot farther than directionless trial and error.