Wednesday, 11 March 2009

Which comes first, style or content?

When I write, I worry about both style and content. I want my sentences to be pleasing aesthetically, but also meaningful.

Perhaps I am displaying my scientific roots by always making aesthetics play handmaiden to the characters and the story - the actual 'facts'. And yet – there is a powerful appreciation of aesthetics running through science, as well as maths. There is always the search for ‘an elegant solution’ to the problem in hand. What is meant by elegance here? I think it’s something to do with simplicity and conciseness, and perhaps novelty.

Aesthetically pleasing science makes apparently complex phenomena simple. Why are there so many different species of finches on the Galapagos – all with different habits? Darwin said that they’ve each evolved to fit a precise environmental niche.

It can relate disparate phenomena by revealing the underlying laws. Newton showed the movements of orbiting planets and falling apples can be explained by a universal force called gravity. Maxwell’s equations brought together all the different observations of changing electric and magnetic fields to show that each is a transformation of the other.

It leads to new areas and gives big bang for your bucks. (It’s no good having a good-looking theory if you can’t do much with it.) Einstein’s concept of light as a particle led to a whole new understanding of the structure of the atom.

It can decide between different ideas. Penzias and Wilson’s discovery that the thermal noise they detected at Bell laboratory was the remnant of an early stage in the evolution of the universe (and not pigeon droppings which was their initial assumption), ruled out the steady state model in favour of the big bang one.

It may even be visually pleasing in some way. Crick and Watson’s analysis of DNA revealing its double helix structure, has created an image now embedded in our collective consciousness.

Behind many of these aspects of aesthetics lies simplicity. Simplicity is a powerful driver in creating science. Occam’s razor says that we should not ‘multiply entities’ unnecessarily; so if you’re fitting a mathematical model to your data, you choose the one with the fewest parameters. And a new scientific theory should have as few arbitrary factors as possible. But in judging competing scientific theories, it’s not always obvious which one best obeys Occam’s razor.

For example, the Copenhagen interpretation of quantum mechanics says that a wave function is attached to each possible outcome of an event. Once a particular outcome is measured, the wave functions corresponding to all the other outcomes collapse. Until that happens everything related to the event is in a sort of probability ‘fuzz’ (for example, the cat in the box is both dead and alive, until you open the box and discover its fate). But what exactly is a measurement? By definition, it has to be a non-quantum event, otherwise you just get more fuzz. So, the interpretation fundamentally limits what quantum mechanics can describe, by saying there always needs to be something outside its description!

The Many Worlds Interpretation avoids this in-built limitation, but only at the expense of having to start up a new universe each time an event happens. This seems to be multiplying entities to an extreme degree; and quite wasteful.

So which is the ‘simpler’ explanation of quantum reality? They clearly both have their problems, and not ones which can easily be resolved by examining their aesthetics.

4 comments:

  1. Dropped in here from Tania's blog and I'm glad I did. I'd always say Story comes first, how it's told second, though how it's told will make the story. If that makes sense.

    Nik

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  2. "The Many Worlds Interpretation avoids this in-built limitation, but only at the expense of having to start up a new universe each time an event happens. This seems to be multiplying entities to an extreme degree; and quite wasteful. "

    - and yet wasteful multiplicity, excessive abundance, is at the heart of evolution, is it not? and massive over-production seems the key to survival in nature... just wondering, idly. J

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  3. true. I think organisms which reproduce to excess are those which have to compete against each other?
    so does that mean all these universes are in competition?

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