Thursday 31 January 2008

Question 5: Good luck or good management? Part Two.

In part one I argued that you cannot dismiss a model because it feels unlikely, and you cannot choose one model over another purely on the grounds that it appears less complicated. Something does not become a valid explanation simply because you like it and want it to be true. The observable behaviour of the universe is not subject to human whims and tastes.

(note: the observable behaviour of the universe is subject to human fallibility, see
Observer Effect. Quite often the mere act of observing something has an effect on its behaviour. More on that when I get back to omniscience ... just in case Robin is about to pre-empt me again.)

To decide the value of a model you have to objectively test it. The model has to make useful predictions that can be tested against observation. This is an absolutely critical step in the scientific method: your ideas must be expressed in such a way that other people can test them and demonstrate that they do not work. One of the primary reasons for publishing a scientific model is to allow your peers to explain why it is rubbish and, hopefully, propose an alternative and better model in its place.



"The earth is the centre of the universe."


The Geocentric Model (the idea that the earth is a sphere at the centre of the universe and everything else revolves around it) was essentially the first scientific model for how the universe works. It matches quite well with casual observation: the earth does not feel like it is moving and the sun and the moon and the stars appear to revolve around it. Unfortunately, it does not match with closer examination: if you accurately map the position of the stars and planets in the sky, they do not move in the way that a geocentric model predicts they should.

The ancient Greeks and later astronomers dedicated a great deal of effort to modifying and elaborating on the geocentric idea to create a model that did accurately predict the movements of the heavens. Unfortunately, they were hampered by a single assumption: the earth is the centre of the universe. It was only when Copernicus dared to suggest that this assumption was false and that
the earth was actually revolving around the sun that a simple model suddenly started to match observation. This led to a fairly dramatic conflict between the scientific method and doctrine: according to the scientific method this was a useful and accurate model of the universe, but according to common belief (and Christian dogma) this was heresy.

Science has since established that not only is the Earth not the immovable centre of the Universe, neither is our Sun, or even our galaxy. In fact, a conventional idea of an immovable centre of the universe may not even make sense.

"Space and Time are absolute"


Isaac Newton came up with a set of models for how objects interact (laws of motion and gravity) that formed the basis of classical mechanics. It is impossible to overstate just how clever Newton was and how important these theories are: very very very. Unfortunately, as in the geocentric model, Newton's model makes some assumptions that mean it is only useful in particular contexts (wiki link not necessarily for the faint hearted). As I claimed earlier, this does not make the model 'false', it just puts limits on when it can be used. It is still very very very useful.

Towards the end of the 19th Century, scientists began to make measurements that did not quite match with the predictions of Newton's model. In the early 20th Century, Einstein proposed alternative models (Special and subsequently General Relativity) that better matched the new observations. In this instance, Newton's model was not supported by quite such a firm religious doctrine as the geocentric model, but there was still some resistance. Newton's model is more intuitive and it had been around for a long time. People liked it. But (how hard can I bang this particular drum?) the value of a model is not measured by subjective popularity, it is measured by objective testing. At large scales and great speeds, the predictions made by Einstein's model are objectively more accurate than those made by Newton's model. The scientific method insists that you choose the better model for the job.

(note: there were, and still are, dogmatic objections to Relativity, but they are not anywhere near comparable in scale to the objections to Copernicus' suggestion that the earth revolves around the sun)

Final bang of the drum: the scientific method does not care what people like or what existing doctrine or tradition says. A model is only as good as the evidence that supports it. Badum tish.

3 comments:

Robin Johnson said...

Aye.

If it's okay to do a semi-relevant personal rant here, the example of Einsteinian mechanics 'overturning' Newtonian ones (for the laws of motion and special relativity at least - I'll leave out Newtonian gravitation and special relativity because they're less compatible) is one of my pet hates. It's something that rolly-smoking pub philosophers tend to point out to support statements like "Science is wrong all the time, so most of what you know is probably wrong."

Newton didn't model that time and space were absolute any more than, say, Pythagoras modelled that the Earth was flat. The laws of motion in special relativity are what you get when you combine Newtonian motion with the concept of time and space being relative. If you substitute c = ∞ into the Einsteinian equations, they turn back into the Newtonian ones.

Saying that the discovery of special relativity makes Newtonian physics wrong is like saying that discovering you're standing on a sphere makes geometry wrong.

Sam said...

Rants more than welcome.

The google adverts when your message appeared included one for a vanity published 'science' book on why everything since Newton has been WRONG. It appears to be a chap who has not quite got his head around gravity and conservation of energy so, rather than try a bit harder, he has instead written an entire book on why Newton and Einstein and everybody between and since has been wrong. That's some serious dedication to a wild goose chase.

(no link included ... he's already way too high up the google rankings)

Moon GT said...

You can quite trivially just subtract the motion of the Earth from the motion of everything in the Universe and end up with the Earth in a fixed position without loss of predictive power of anything else. It's quite unnecessary to do it though, and only makes things that little bit more arbitrary (you could do that for any planet in the Universe, so why pick Earth?)

Also it is quite trivial to transform between empty curved space and a flat space with a gravitational field in it. If that makes any sense. Making all the other fields into space-time curvature requires the addition of a load of extra dimensions that are supposed to be "curled up" so we don't observe them. I don't know why they don't just do it the opposite way round and transform curved space-time back into fields.

But there you go.