I know "never say never", but this is about as confident a statement I or anyone with 3 minutes of reading on the airline industry can make. Margins are razor thin as it is.
A much better option (IMO) would be to research a Citation/Learjet sized supersonic aircraft. If you think of the market, the rich would be much more comfortable leaving from a smaller/private terminal in their private jet, zipping to London in 4 hours, and then zipping back on their own time, than they would going through the main terminal and all that nonsense just to save 3 hours in the air. Hell, being in the air in first class is the best part of the entire trip!
These guys (No connection whatsoever) http://www.aerionsupersonic.com/ have been trying to do the latter for 13 years. Thirteen. They just got their first order.