Dear Ben:
Thanks for the interest in my essay! Here are my replies to your questions:
1. The micro-structure of spacetime would definitely not be manifold-like. The smoothness of the spacetime would only arise in the large scale/low energy limit. A smooth spacetime would be to the fundamental micro-description as the surface of water to water molecules.
2. The argument here would be that the construction that starts with the symmetries and then discovers the particles through representation theory has it exactly backwards. The symmetries arise from the way the excitations behave. An example here is the spin model by Wen in which QED arises in a theory of spins. The underlying theory consists of spins on a lattice but the emergent theory is (approximately) Lorentz invariant (because it is QED).
3. In causal set theory the cosmological constant can be explained by looking at the fluctuations of the number N of points in a volume. These fluctuations go like the square root of the volume. If one assumes that the cosmological constant and the volume are a conjugate pair this implies that the cosmological constant can not be exactly zero because of these fluctuations. Putting in the numbers one gets a result that is of the proper order of magnitude.
This is a very interesting observation but I am not sure what it means. My main confusion stems from the foundations of the causal sets program itself. Because the program is somewhat abstract (how do you go from the points to the spacetime?) it is very unclear to me what the cosmological constant is in this context. A cosmological constant should expand spacetime but if the points carry all the information about the metric how does the cosmological constant do that? Nevertheless it is an interesting argument to keep in mind.
There is one more person that argues he has a solution to the cosmological constant problem: Volovik. His arguments are very interesting and they fit very well with the program I presented here.
Thanks again for the interest! Now on to your paper ...
Cheers
Olaf