After the 2010 UK election, some individuals urged Labour to try to form a rainbow-style Coalition with the smaller parties in the House of Commons.

According to the arithmetic, several potential groupings were possible. Apart from the Liberal Democrats, Labour's partners could have included the SNP (six MPs), Welsh nationalist party Plaid Cymru (three), and even Caroline Lucas, the sole Green MP, and Naomi Long, the Alliance member from Northern Ireland.

Such a group could have formed a working majority in the House of Commons. The presence of the Speaker and the absence of elected Sinn Fein members brought down the number required for a majority to about 322. As Labour had 258 MPs and the LibDems 57, only an additional seven members would have been required to form a majority. But any such plan failed when the Conservatives negotiated their coalition with the LibDems.

But, in 2015, such a prospect may again be plausible, if not actually a requirement for either of the two major parties to establish a working government. After all, the UK in 2015 will be a very different place in electoral terms than in 2010.

After the Scottish referendum vote, we have witnessed a surge in SNP membership and potential electoral support, leading some to predict it could win upwards of 20 MPs, displacing Labour in many of its traditional seats. In the south, we have witnessed the defections of two sitting Conservative MPs to Ukip. A good handful of Ukip MPs is now considered a possibility by some.

The result could be a parliament where neither Labour nor the Conservatives would even be close to forming a majority on their own. And given the forecast collapse in LibDem support, that party may not be able to reprise its kingmaker role of 2010. Instead, this role could fall to the Scottish Nationalists.

Admittedly, there are many factors that could alter the mathematics quite easily. Will Ukip split the right-wing vote in the south of England and keep some LibDems alive in the southeast and southwest? Will people turn out in Scotland in 2015 as they did in 2014. And if not, who will turn out? Remember that the SNP do less well in the General Election than in the Holyrood elections, where fewer people turn out to vote.

But if the SNP do triumph in May, are there any circumstances in which they could actually join a government? It is possible, but I would say it is very doubtful. The rhetoric that the SNP have employed in the last few years seems to have left them with little room to manoeuvre. They have gained significant support in the past two years by being seen as the "anti-Westminster", "anti-business-as-usual", "for the people" and "NOT Labour" party.

The phenomenal rise in party membership is predicated on such a style. For the SNP to become part of that London-based establishment would perhaps be beyond what many of these new members would find acceptable - perhaps even many longstanding members too.

The backlash might be reminiscent of what the LibDems have suffered (especially in Scotland). And as a nationalist party, the SNP remain a broad coalition, subject to occasional fracture. While Ukip have been recruiting erstwhile Conservative representatives, for instance, one SNP MSP has left the party due to its changed stance on Nato. Joining a Conservative-led group is particularly unthinkable, especially as further austerity and public-spending cuts would be core issues post-election.

Becoming the junior partner in a Labour-led government is not much more credible. The SNP might be able to work with Labour in other circumstances, however. Certainly, they have a lot in common, especially in Scotland, where the two parties' manifestos are not too far apart on many central policies. As tribal as Scottish politics always is, this is one of the reasons the SNP and Labour have fought so bitterly over the years. The activists and politicians have long known that, at the end of the day, they are fighting over many of the same voters.

If Labour were leading a rainbow coalition including the likes of the Welsh Nationalists, rather than a two-party coalition, it might remove any sense that the SNP were joining a London establishment. Another route to the same outcome might be stay out of government but form some sort of agreement or pact, supporting on some issues only to enable a minority government - again probably only Labour - to hold the balance of power.

In either case, the SNP would surely insist on the highest possible price short of independence: a fully federal UK. The question of whether they would renege on their own policy of abstaining on England-only matters would be among the most fascinating.

If the Scottish independence referendum was indeed the turning of a new page in the country's politics, all bets would be off - new SNP leader Nicola Sturgeon (assuming it is she) may well be faced with this kind of scenario. But if September 2014 turns out just to have been a moment in time, the system will slip back into regular gear as people return to their lives. Many in Scotland took time off from careers, studies and families to campaign for a Yes vote.

Until we know either way, there is no telling what could happen after the next election. The future, as the old cliché goes, is uncertain at best, but it will surely be very interesting.

Murray Leith is senior lecturer in politics at University of the West of Scotland. This article is courtesy of the website The Conversation www.theconversation.com/uk