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The Road To Reality, by Roger Penrose
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- Sales Rank: #4117524 in Books
- Published on: 2005
- Number of items: 2
- Binding: Paperback
Most helpful customer reviews
1 of 1 people found the following review helpful.
Shock and Awe on the Road to Reality
By ealovitt
As it happens, I'm an inhabitant of mathematical Slowland (somewhere between the author's level 1 and level 2 on what is an exponential scale of mathematical knowledge), but this book's preface charmed me into attempting a pilgrimage down "The Road to Reality," even though--or perhaps because--it has lots and lots of math. What is the lure Sir Roger uses in his preface? A profoundly simple explanation of fractions! I've always longed to find a 'Summa Philosophiae Naturalis' that wove together all the physical and mathematical strands of my education. Maybe this will be that 'summa' after its contents finally sink in (it will take multiple readings.) If not, there was still plenty of shock and awe on Sir Roger's Road to Reality.
This author has the special gift of making his readers feel the beauty of scientific ideas through mathematics. Many of the books that have been published recently on the physical mechanisms of our Universe have been a little misty in this respect, probably for fear of losing readers.
Not so Penrose. After a benign preface and opening chapter, his 'Royal Road' plunges his readers head-first into hyperbolic geometry. If it weren't for the Escher woodcut and its subsequent transformations, I might not have plunged in after him. As it was, I almost sank out of sight upon encountering Contour Integration in chapter 7. It was a long, hard 400-page slog to Minkowskian Geometry (chapter 18), after which the heavy physics finally kicked in.
Extended side-trips into James R. Newman's classic "The World of Mathematics" were what saved me and kept me chugging through the first half of 'Reality.' I found I needed a bit of historical perspective on topics such as Riemann spheres, that Sir Roger necessarily had to explain in a formula and a paragraph--unless he wanted his book to bulk up into multiple volumes.
So I highly recommend a supplemental mathematical source such as Newman for the parts in Penrose where you WILL get stuck in the Slough of Despond. Yes, friends, unless you belong to the author's level 4 mathematical elite you will flounder, but throughout your struggle, beautiful fireworks will be going off over your head: a promise of the grandeur to come.
This book is full of glorious explosions, especially when the author is discussing a discrete, rather than real-numbered-base to physics: "Einstein, also, suggested, in his last published words, that a discretely based ('algebraic') theory might be the way forward for the future physics..."
Wait a minute! Does that mean I should flush my 23 semester-hours of calculus down the same toilet that swallowed up phlogiston and Piltdown Man?
Not at all. Penrose includes reams of calculus in this book, for those of you who like to twiddle around with infinitesimals. But do pay attention to the notion of a discrete reality. In the latter, 'physics' section of the book, Sir Roger refers back to discreteness when he discusses his twistor theory of Everything--combining relativity and quantum mechanics without the need for superstring theory.
This book is a thousand-page guide to physics' Grand Unified Theory as expressed by one of the world's most original thinkers. Pick it up and start down a road not usually taken, and I mean that literally as many cosmologists will argue that this author is way off the beaten path.
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