Personally i don't believe that Scotland will leave the United Kingdom due to Brexit and that's evidenced by the fact that Sturgeon has not exactly being clamouring for it along with polling evidence which suggests no real surge.
With that being said even if Scotland did leave and get into the EU, the OP's vision seems to imply a degree of ignorance. For example OP, you have not realised that many of the multinationals in London who want the EU would not simply up sticks to Edinburgh, a far less important and somewhat provincial city. Berlin, Paris and Brussels are the cities that London is competing with, not Edinburgh. For the manufacturers who may move from England there is again the same question of why they would move to what to what would be a provincial part of Europe, these firms would move to places like Germany and Poland.
Scotland is successful as part of the United Kingdom because as part of a much more important whole places like Edinburgh are able to compete with some of the more important European cities. As an independent nation however Scotland would be a wealthy but relatively unimportant part of the European con-federation (the EU) and hence Edinburgh would be competing with cities further down the list for business, not above it.