It is best to hand polish on charged leather strops (separate strop for each paste) for diamond paste over 2,000 mesh/8 micron. Use a drop or two of silicone oil as a carrier. Slow even strokes will take the edge to extreme polish and sharpness. You also have to be wary of forming a full wire edge that seems to flex with any pressure. Remove the wire after buffing as usual and then finish each paste grit done by hand with a few passes at a higher angle to remove any new wire.
While a polished edge at 100,000 mesh/ .25 micron is fun to do, it is not really any sharper than one done at 50,000mesh/.5 micron. All you get is smoothness of the surface above the edge. A very fine grain steel has grains at 10 microns (size 10 grain, which is nearly impossible to attain in a knife blade). You can't really make the edge any thinner than that or grains start falling out creating a microscopic serrated edge. Examination with a 10 or 20 power loupe, as is normally used, will show the edge as a perfect line. It will take a metallurgical microscope to see the serrations at such a fine polish.
If you want to have some reading fun, read up on preparing metallographic specimens. They take polishing to the ridiculous, as fine as .1 micron.