I'm not able to provide you a definitive answer, but your question reminded me of this minutephysics video which briefly discusses the laws of physics in relation to dimensionality:
http://bit.ly/IKjnHR
Hello, I am a amateur-level person living in Canada with an interest in physics, especially particle physics. I have recently been wondering how possible it would be to create some simple/cheap devices to exhibit particle physics. I thought a cloud chamber would be the most feasible idea and...