In our second online poll to find out what Plus readers would most like to know about the Universe, you told us that you'd like to know if the constants of nature really are constant. We took the question to cosmologist John D. Barrow, Professor of Mathematical Sciences at the University of Cambridge, and here is his answer. Please feel free to discuss the answer by leaving a comment on this blog. We'll periodically check back with the experts to try and answer interesting further questions.
We took your question about the speed of light to John D Barrow and here is his answer:
"No, there can never be a proof that the speed of light is constant. Relativity theory requires the speed of light in vacuum to be constant and the same for all observers. All we can do is test whether that is true and hence whether the theory of relativity is a corrrect description of nature. There may be tiny quantum mechanical corrections to the theory which produce very small changes in
extreme environments (very small distance, high frequencies or strong gavitational fields)."
"An added subtlety is that in most of these possible worlds life cannot exist."
This leads to another question: what do you mean by 'life'? What makes life special? How can it be that there might be a world where rocks etc. can exist but 'life' (whatever definition you choose for that word) can't?
A constant is nothing but it is a derived numerical ratio between the two same fundamental quantities.The constant is said to be a point function,since it is constant at a point when it is made to travel at different atmosphere with different velocities,the value of constant may varie and moreover an example to say that the velocity of light is constant,when abody is made to move with a
velocity equal to light then the constant may vary relative to this object speed.so constant is an induvidual point function and independent from the different variables.
Next time you're off to the bookies to place your footie bets, you might be better off consulting a statistician than a football expert. On his Understanding Uncertainty website self-confessed football un-enthusiast David Spiegelhalter used a simple statistical model to predict the results of the last ten Premier League matches, which were played on the 24th of May 2009. In terms of predicting whether a game ended in a win, draw, or defeat for the home team, Spiegelhalter's model was right nine out of ten times, compared to the seven out of ten score achieved by the official BBC football expert Marc Lawrenson, and the model predicted two scores exactly.
Spiegelhalter and his co-authors Mike Pearson and Ian Short quantified the individual teams' attack strength and defense weakness based on their past performance, and then, with a little help from probability theory, used these ratings to work out the most likely outcome of a particular match. (You can see the details of this model on his website.) "These types of models have been refined over the years and are now used by bookies and sports betting companies, who employ experienced statisticians and make use of the latest computational methods," says Spiegelhalter. But he concedes that his very basic model might have been a bit lucky this time: "One thing you can bet on is that
simple models like this one will be very unlikely to out-perform the odds being offered by bookies, so don't use them to spot good bets!"
Spiegelhalter announced his prediction on the BBC Radio 4 programme More or Less, which was aired before the final match day, so you can be sure that no hindsight fraud was involved.
David Spiegelhalter is Winton Professor for the Public Understanding of Risk at the University of Cambridge and regularly writes for Plus (see for example his article on the 2006-2007 Premier League season). His Understanding Uncertainty website is designed to inform the
public about everything to do with risk and uncertainty, from health scares to predicting election results.
davids approach seems quite nice to me, so i think it takes into account all the strength and weakensses of both the teams, now leaving the thrill factor (which is still very much alive,as it is a guide only) i think if one is thinking of investing in sports picks ,the theory appears nice in principle,
At the very heart of sport is a fierce battle in which the combatants strive to outwit and outplay each other. Each thrust is matched by a parry and in the end, there can only be one winner. The rules of each sport dictate how that winner is determined, and whether it is football, tennis, golf or chess, it is those who perform best on the day who take home the glory. This latest installment of
the Plus sports page looks at two ranking systems that couldn't be any different from each other — those of sumo and chess.
Looking for something to think about next time you gaze at your reflection when brushing your teeth? Then Sara Santos has some mathematical inspiration for your next daydream in her MMP public lecture, Through the looking glass... again and again!. If Alice took a magic trip inside a conic arrangement of mirrors, what would she find in this
mathematical wonderland? You can take a look through a 3D kaleidoscope to see what happens to Alice's cubes and icosahedrons!
Sara Santos is Clothworkers' Fellow in mathematics at The Royal Institution of Great Britain (Ri) and is responsible for coordinating the UK-wide network of secondary Ri mathematics masterclasses. Sara will be speaking at 11am on Thursday 11 June 2009, at the Centre for Mathematical Sciences, Cambridge, just down the hall from Plus! Admission to the
lecture is free but by ticket only — for tickets please contact Kerstin Enright, Millennium Mathematics Project, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA (01223 766839) or email: email@example.com. You can also sign up for notifications of future MMP events at the MMP site.
And don't forget you can also see the London Mathematical Society's popular lectures on Monday 22 June in London and Tuesday 15 September in Birmingham. Come and see how physicists helped answer a hundred year old question about prime numbers and how random matrices and Riemann zeroes feature in a major Hollywood movie with Nina Smith. And Mark Miodownik will
explain how fleas can jump over 100 times their own height, flies can walk on water and a hamster can survive falling from aircraft without a parachute.
Admission is free, but by ticket only. For more information and tickets, contact Lee-Anne Parker, London Mathematical Society, De Morgan House, 57-58 Russell Square, London,WC1B 4HS (email: firstname.lastname@example.org), or visit the LMS website.
Are you disappointed because ITV's "most stressful game show on TV", The colour of money, seems to have been pulled? Do you think that you had just the right strategy to win? Then check out if you were right with John Haigh's analysis of best play.