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Discovery

The Power of Equations

Discovery

BBC

Science, Technology

4.31.2K Ratings

🗓️ 21 December 2015

⏱️ 27 minutes

🧾️ Download transcript

Summary

Jim al-Khalili was sitting in a physics lecture at the University of Surrey when he suddenly understood the power of equations to describe and predict the physical world. He recalls that sadly his enthusiasm was lost on many of his fellow students.

Jim wants to persuade the listeners that equations have a beauty. In conversation with fellow scientists he reveals the surprising emotions they feel when describing the behaviour of matter in the universe in mathematical terms.

For Carlos Frenk, professor of Computational Cosmology at Durham University, one of the most beautiful equations is the one that is at the heart of Einstein's theory of general relativity. A century ago, Einstein wrote down his now famous field equations that linked the shape of the universe to the matter in it.

Jim and Graham Farmelo, the author of a biography of Paul Dirac called The Strangest Man, discuss why the Dirac equation is not as well known as Einstein's but, in their opinion, should be.

Dr Patricia Fara of Cambridge University, and Vice-President of the British Society for the History of Science, explains that although mathematics goes back centuries it was only in the 17th Century that it was applied to the real world.

Jeff Forshaw, Professor of Particle Physics at the University of Manchester, talks about when he first realised the power of equations and about why, surprisngly, maths is so effective at describing the real world.

Science writer Philip Ball questions whether the beauty that scientists see in equations is really the same as we see in art.

And physics A Level students in Dr White's class at Hammersmith Academy in London reveal that they already appreciate equations.

(Photo: Jim al-Khalili)

Transcript

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0:00.0

Thank you for downloading from the BBC.

0:03.0

The details of our complete range of podcasts and our terms of use,

0:07.0

go to BBCworldservice.com slash podcasts.

0:11.0

I'm Jemalkelele. In this edition of Discovery from the BBC, I'm going to try and persuade you that

0:19.4

mathematical equations are beautiful and incredibly powerful at predicting how the world

0:25.4

behaves. I'm here in my office at the University of Surrey where I'm a

0:30.0

theoretical physicist and with me is Ron Johnson.

0:34.0

Now Ron is Emeritus Professor of Physics here, but more importantly to me, he's the man I guess who got

0:39.8

me involved in the subjects in the first place.

0:43.0

Ron, this is going back to the mid-80s.

0:45.0

You taught me quantum mechanics as an undergraduate.

0:48.0

You twisted my arm a little bit, but not too much, to stay on to do a PhD with you,

0:51.0

and I think the rest is history. I got your thesis down from my bookcase last night and

0:58.4

since this is supposed to be a program about equations I think your thesis is a very good choice because

1:05.8

the density of equations is enormous. It reminds me of a story about a nuclear experimentalist who was famous for saying at one point

1:16.8

that she wished in the theoretical papers there were a few words between the equations.

1:22.4

Well you did have a few words in your thesis but the

1:25.4

density of equations is enormous. Well when I look back at my PhD work which

1:29.4

involved the mathematical description of what happens when two atomic nuclei collide at high energy,

1:35.0

I had to say I too am impressed with the volume of equations in my thesis,

1:39.0

and I remember the sheer effort I needed to tame a certain kind of mathematical beast called a

1:45.1

tenser.

...

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