Thursday 22 February 2024

Quantum voting

 

Most of us are familiar with Erwin Schrödinger’s famous thought experiment about a cat in a box. Not so many realise that the point is not simply that we don’t know whether the cat is dead or alive until we open the box, but that the cat is, under the Copenhagen interpretation of quantum mechanics, both dead and alive until the box is opened and the cat is observed, at which point the uncertainty resolves itself into either a dead state or a live state. Until that point, not even the cat knows whether it is dead or alive, because it is both. It’s a hard concept to get one’s head around, but Schrödinger’s point was to demonstrate how foolish it is to seek to apply quantum uncertainty to real world physics, even if it is indeed odd that such fundamental uncertainty at particle level does not reflect itself in classical physics.

The UK is on the brink of running a rather different large scale experiment on the applicability of quantum uncertainty in the real world. According to Sunak, any vote for a party other than the Tories is a vote to put Starmer into Downing Street, whilst according to Labour, any vote for a party other than Labour is a vote for the continuation of a Sunak government. If both are true, it must mean that around 30% of the votes cast in the coming election will enter a state of quantum uncertainty when they are placed in the ballot boxes. At that point, those who thought that they had voted against both the two largest parties will actually, under the Labour-Tory interpretation, have voted both for and against both Labour and the Tories. This uncertainty will only resolve itself when the ballot boxes are opened and the papers counted, at which point the application of the Labour-Tory interpretation to voting will be shown to have been as foolish as the application of the Copenhagen interpretation to that imaginary cat.

For those of us who prefer to live in the real world rather than that postulated by strange thought experiments, what the observation and measurement will tell us is, firstly, that around 30% of the electorate will have rejected the idea of both a Tory government and a Labour government and, secondly, that most of their votes are essentially worthless because those behind the Labour-Tory interpretation have rigged the rules of the experiment to allow only two possible outcomes in most constituencies. If either of them really believed what they say, they would be arguing for a system of voting which allowed that 30% to express for themselves which of the two biggest parties they like most (or, perhaps, hate least) by indicating their second and subsequent choices. The main reason that they don’t do so is because they fear that, if they did, they might find that an awful lot of the ‘firm’ choices they receive from the 70% or so voting for one or the other are already concealed second or third choices being made by voters with pegs on their noses, and that the whole idea of ‘the two biggest parties’ is itself a largely imaginary construct. Just like Schrödinger’s poor cat.

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