The Spanish government has already said it would insist on this, because the Spanish province of Catalonia is holding its own (unauthorised) referendum on independence in November. Madrid has veto power, and it is determined to show that breaking up an existing EU country is not easy or painless.
On the other hand, it would not be like South Sudan or East Timor: there would be no bloodshed and no refugees. Some businesses, particularly banks, would move their head offices from Scotland to England, but in five or 10 years the Scots would stop blaming England for all their problems and start blaming their own politicians. And the English would simply have forgotten Scotland.
The right question in this situation, therefore, is not "What will happen if ... ?" Nothing very extreme would happen, although Scotland is unlikely to enjoy the economic and cultural boom that First Minister Alex Salmond, who called the referendum on independence, frequently predicts.
The better question is "How did it end up like this?"
The real grievance that fuels Scotland's independence movement is the fact that Britain keeps electing governments that are either explicitly Conservative or (like Tony Blair's three terms in office) conservative in all but name. They take Britain into stupid foreign wars, and they impose austerity on ordinary British people while looking after the rich.
Scots see themselves as being more socially conscious and more egalitarian, and there is some truth in that view (only one of Scotland's 59 members of the British Parliament is a Conservative). So the Yes campaign argues that the only way to avoid perpetual rule by Margaret Thatcher clones in London is to break away and build a separate Scottish state.
That argument is getting a lot of traction in Scotland at the moment, and voting intentions have swung from 61 per cent for No and 39 per cent for Yes in early August to a knife-edge (49 per cent No, 51 per cent Yes) in one of this week's polls.
The other recent polls still show a small advantage for the Noes, but it could go either way.
If it goes Yes, then the change is forever, and everybody will just have to live with it. But since Scotland's current dissatisfaction with the Union is mainly about the political colour of recent British governments, a No to independence might also be permanent.
A couple of genuinely left-wing British governments and a strong economic recovery (which is actually happening), and the whole thing might blow over.
Gwynne Dyer is an independent journalist whose articles on world affairs are published in 45 countries.