Relativity and Quantum TheoryDate: 03/15/2002 at 05:15:14 From: nabi dhanoya Subject: Relativity and Quantum theory What is the problem between relativity and quantum theory that scientists are trying to solve? I hear so much about it, but have not been able to truly understand it. Nabi Date: 03/15/2002 at 09:08:18 From: Doctor Mitteldorf Subject: Re: Relativity and Quantum theory Dear Nabi, This is a fascinating area to want to know more about, but I'm afraid it really does require a lot of background before you can appreciate the problem. Quantum mechanics is about lumpiness. You'd think that the energy of a particle can be any real number - if its energy starts out equal to 1 erg, you can give it a tiny push and bring its energy to 1.00001 or even 1.0000000001 ergs. But it turns out that small systems don't work this way - they might have an energy of 1 or 2 or 3 units, but never 1.5 or 1.00001. (These units aren't ergs, but "natural units" for the system, depending on the mass of the particles, the strength of the force holding it together, and Planck's constant h.) Quantum mechanics was invented around 1923, and already by 1929 there were some good candidates for ways to combine QM with Einstein's Special Theory of relativity. This work was spearheaded by Dirac. It's General Relativity that has been difficult to combine with quantum mechanics. This is because GR is a theory that relates space and time to energy. If energy is quantized, then space and time must be lumpy, too. No one has been able to imagine a consistent system where there is a time=1 and a time=2, but it's meaningless to talk about time=1.00000001 unit. A "consistent" system has to be not only logically consistent with itself, but it also has to be one that predicts answers on a large scale consistent with QM and with GR, so that "we wouldn't know the difference." There's a new book out on the subject that might be at just the right level for you. I recommend "Three Roads to Quantum Gravity" by Lee Smolin: http://www.amazon.com/exec/obidos/ASIN/0465078354/qid=1016201223/sr=2-3/102-6258870-4532957 - Doctor Mitteldorf, The Math Forum http://mathforum.org/dr.math/ |
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