Readers of my previous two posts might be forgiven for assuming that I think Samsung support is a bit crap.
I now believe that they might actually be evil geniuses.
After giving up on their support I decided to take the phone apart and blast compressed air into the power switch in the hope it would un-jam.
This failed to work, so I returned to Google and turned up this page.
It turns out that throwing the phone on the floor is the way to fix this problem. Sure enough, when I did this (presumably un-jamming the switch in the process) the phone magically booted.
Now I understand how the Samsung support line works. Clearly, they are too embarrassed to ask you to throw your phone on the floor. Instead, the support people act like complete dicks in the hope that you will throw the handset on the floor and thereby solve the problem.
So, Samsung, I owe you an apology, your support lines are run by evil geniuses. Albeit, evil geniuses that provide no help at all and never get back to you when they promise they will.