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Wednesday, March 16, 2005

Reading List: Moving Mars

Bear, Greg. Moving Mars. New York: Tor, 1993. ISBN 0-8125-2480-2.
I received an electronic edition of this novel several years ago as part of a bundle when I purchased a reader program for my PalmOS PDA, and only got around to reading it in odd moments over the last few months. I've really enjoyed some of Greg Bear's recent work, such as 1999's Darwin's Radio, so I was rather surprised to find this story disappointing. However, that's just my opinion, and clearly at variance with the majority of science fiction authors and fans, for this book won the 1994 Nebula and Science Fiction Chronicle awards for best novel and was nominated for the Hugo, Locus, and Campbell awards that year. The electronic edition I read remains available.

Posted at 22:34 Permalink

Reading List: The Road to Reality

Penrose, Roger. The Road to Reality. New York: Alfred A. Knopf, 2005. ISBN 0-679-45443-8.
This is simply a monumental piece of work. I can't think of any comparable book published in the last century, or any work with such an ambitious goal which pulls it off so well. In this book, Roger Penrose presents the essentials of fundamental physics as understood at the turn of the century to the intelligent layman in the way working theoretical physicists comprehend them. Starting with the Pythagorean theorem, the reader climbs the ladder of mathematical abstraction to master complex numbers, logarithms, real and complex number calculus, Fourier decomposition, hyperfunctions, quaternions and octionions, manifolds and calculus on manifolds, symmetry groups, fibre bundles and connections, transfinite numbers, spacetime, Hamiltonians and Lagrangians, Clifford and Grassman algebras, tensor calculus, and the rest of the mathematical armamentarium of the theoretical physicist. And that's before we get to the physics, where classical mechanics and electrodynamics, special and general relativity, quantum mechanics, and the standard models of particle physics and cosmology are presented in the elegant and economical notation into which the reader has been initiated in the earlier chapters.

Authors of popular science books are cautioned that each equation they include (except, perhaps E=mc²) will halve the sales of their book. Penrose laughs in the face of such fears. In this "big damned fat square book" of 1050 pages of main text, there's an average of one equation per page, which, according to conventional wisdom should reduce readership by a factor of 2-1050 or 8.3×10-317, so the single copy printed would have to be shared by among the 1080 elementary particles in the universe over an extremely long time. But, according to the Amazon sales ranking as of today, this book is number 71 in sales--go figure.

Don't deceive yourself; in committing to read this book you are making a substantial investment of time and brain power to master the underlying mathematical concepts and their application to physical theories. If you've noticed my reading being lighter than usual recently, both in terms of number of books and their intellectual level, it's because I've been chewing through this tome for last two and a half months and it's occupied my cerebral capacity to the exclusion of other works. But I do not regret for a second the time I've spent reading this work and working the exercises, and I will probably make a second pass through it in a couple of years to reinforce the mathematical toolset into my aging neurons. As an engineer whose formal instruction in mathematics ended with differential equations, I found chapters 12-15 to be the "hump"--after making it through them (assuming you've mastered their content), the rest of the book is much more physical and accessible. There's kind of a phase transition between the first part of the book and chapters 28-34. In the latter part of the book, Penrose gives free rein to his own view of fundamental physics, introducing his objective reduction of the quantum state function (OR) by gravity, twistor theory, and a deconstruction of string theory which may induce apoplexy in researchers engaged in that programme. But when discussing speculative theories, he takes pains to identify his own view when it differs from the consensus, and to caution the reader where his own scepticism is at variance with a widely accepted theory (such as cosmological inflation).

If you really want to understand contemporary physics at the level of professional practitioners, I cannot recommend this book too highly. After you've mastered this material, you should be able to read research reports in the General Relativity and Quantum Cosmology preprint archives like the folks who write and read them. Imagine if, instead of two or three hundred taxpayer funded specialists, four or five thousand self-educated people impassioned with figuring out how nature does it contributed every day to our unscrewing of the inscrutable. Why, they'll say it's a movement. And that's exactly what it will be.

Posted at 02:26 Permalink