Alright, this takes more interpreting. Also, both babel and google really hose this up, so don't expect much if you punch these lines into them.
The first line is pretty much filler, telling us that we're going to expand operation for TL discs. Well, duh.
I believe what this slide is mainly telling us is that a new spherical correction function (or set of data, or what have you) is being used to implement TL discs.
Before anyone jumps to conclusions, there's a decent chance this is firmware updatable, but we can't know that, so please everyone relax and don't jump to conclusions in either direction.
The last main line there, this might be saying that the correction value will be somehow set into the disc at manufacture test time, otherwise I'm not sure what test time would be used, except perhaps power on / disc insertion calibration.
Obviously the graph is labeled 3 layer range and 2 layer range with regards to the thickness range of operation vs refractive index there.. The version indications are telling us these are what are specified per each version. The final / current HD30 specs have a +-22 micron range, while the 1.9 version for TL (which may or may not get another iteration, before final approval .. blah blah blah) is +-37. This is essentially stating the optical mechanism has to operate over this greater distance, due to having more layers.
It actually looks like this may push the bottom-most layer slightly closer to the outer surface of the disk, as 0.6mm is the point from these measurements are indicated, and we know 0.6mm to be the nominal first layer depth for a DVD / HD DVD. To stop the "ZOMG needs hardcoating LOLZ", this should be a non-issue in the sense that we're only going 37 micron closer to the surface, and if you've managed to put an at least 0.563 mm scratch into the disc, you've probably put a 0.6mm or greater scratch. In other words, if it's a problem now, it was a problem before. No appreciable difference.
Another item one might point out, is this pushes the SD layer closer, and what does this do to plain old SD players? Well, seeing as they are running on looser tolerances to begin with, this will do absolutely nothing. If you can resurface a disc to fix it, you can certainly put the data layer 37 micron closer to the surface without having to invest in a set of bifocals for the DVD player. In fact this same rational will likely apply to the HD DVD players, and I don't expect even trying to focus 37 micron further in than normal will be an issue, only perhaps to what degree the reduced reflectivity hinders things.