Below is a cut/past from the forum FAQ in Detailing titled "The Perfect Shine".
It's not scientific as far as explaining how wax would bond to a synthetic but it does explain what the guy does to get, in his opinion, the perfect shine.
# Once perfectly polished, it’s time to seal the paint and lock in the beauty. Even the best wax is no match against pollution, road salt, and other contamination.
Use a synthetic formula that does not contain abrasives.
You already did all of your polish work in the steps above. Also, if you use an abrasive formula (any formula containing polishes or cleaners), you won't be able to apply more than one coat. I recommend two or three coats. Each coat should be allowed to cure (dry) for at least 12 hours before applying the next coat.
# When you’re finished sealing, you’ll be looking at a beautiful finish. Your first thought will be “hey, the car looks awesome… I must be done”. Not so fast, bucko! You want the "Perfect Shine," right? Okay, then, be patient and wipe your car down with your favorite detailing spray and wait 24 hours. You’re almost there.
2. The final step, the literal icing on the cake, is waxing.
Many will ask “after sealing, why wax?” The answer lies in the richness of color, depth and clarity that only a high quality carnauba wax can bring out on a polished surface. For this job I reach for only two products: P21S Concours or Pinnacle Souveran. Both of these waxes will bring out additional shine, depth and color richness like you're never seen. If you have black, red, dark blue or rich yellow paint, you're in for a real treat.
See the full FAQ here.<--