I wish Prof Murphy was still adding to that blog... I don't think he's the greatest at accounting for innovation, but he is excellent at applying fundamental laws of physics!
While Murphy is good at applying fundamental laws of physics, physics (which I've taught) really only shines at modeling very simple things. Even something "hard" like particle physics is easy enough to be fundamentally solvable, while if economies were fundamentally solvable the folks at Long Term Capital Management would be rich instead of having gone bust in 1998.
I didn't have a chance to read all Professor Murphy's posts, but from what I can tell he doesn't account for the fact that every country in history which has become "developed" has been showing a negative population growth rate, apart from immigration. Simple exponential extrapolation of total energy use, for example, may not apply in the case of declining population, depending on relative rates the economy and energy use could both grow
per capita while falling in total.
On a more "purely physics" note, he does a simple analysis of bringing asteroid resources back from space, and overestimates the energy cost of doing so by a factor of 10 (
http://physics.ucsd.edu/do-the-math/2011/10/stranded-resources/ vs.
http://link.springer.com/article/10.1007%2Fs10569-013-9495-6) and underestimates available engines by a factor of about 2000 (see the ion thruster in the table in
http://en.wikipedia.org/wiki/Specific_impulse compared to the chemical engine he discusses). This gives me some cause for concern about his other extrapolations.
For a counter view to Murphy, try Robert Zubrin's "Merchants of Despair: Radical Environmentalists, Criminal Pseudo-Scientists, and the Fatal Cult of Antihumanism". While I don't agree with all of that either, it does rather effectively make the point that Malthus, who did one of the first analyses like Murphy back in 1798, has turned out to be wrong as he also ignored innovation. His analysis was based on food production rather than energy, and according to that we should all be starving, instead of having the lowest percentage of people farming in history with the richest diet in history (average, per capita).