I am currently setting up a 3 tier brewing and intend to fly sparge and just looked up in my bible of what G. Noonan has to say about floating mashes.
He states that, start of quote "
If the malt is well converted and perfectly crushed, if the saccharification rest temperature is reasonable uniform, if the mash float well, if sparging is evenly dispersed, if the lauter mash is raked and the sweet wort is restricted to so that it takes ninety minutes or so to collect, an infusion mash will give as nearly the same extract as a step mash or decoction mash would." end of quote.
A crush to a floating mash require the barley to be split long wise. This will give the them maximum starch area left for conversion and entrain some air, As Pomo suggested in his initial post.
A coarse crush constitutes of at least 75 % grist partly intact and less then 10 % flouring.
This, off course, is open for an argument...
A thick mash is essential for a dextrenious wort as the alpha amalyse would then be kept intact for a longer period.
When you mash out with just adding boiling water, the mash is going to thin out to about 4:1 water to grist ration and depending on when and how you add this depend on what type of beer you after.
If you are after a higher attenuated beer you can thin the mash gradually.
When you desire a higher efficiencies and cleared wort it comes down to the uniformity of the crush and the mash program.
As stated previously in other thread the brew shop tend to crush the grain fairly coarse.
But if you can achieve a floating mash and run off slowly, you probably eke the most out of the grain.