For energy conservation see:
http://www.hedweb.com/manworld.htm#violate
The main reason for following the MWI is Occam's razor:
Thank you, this is exactly the type of linking that I was looking for. Unfortunately, the FAQ that you so kindly provided isn't providing the rigor that I'm looking for. In fact, for the energy conservation portion, I think (although I'm by no means certain) that the argument has been simplified to the point that the explanation being offered isn't true.
I guess what I'd really like is an explanation of MWI that actually ties the math and the explanations together closely. (I think that I'm expressing myself poorly, so I'm sorry if my point seems muddled, but I'd actually like to really understand what Eliezer seems to find so obvious.)
Eliezer Yudkowsky and Scott Aaronson - Percontations: Artificial Intelligence and Quantum Mechanics
Sections of the diavlog: