Home :: Books :: Professional & Technical  

Arts & Photography
Audio CDs
Audiocassettes
Biographies & Memoirs
Business & Investing
Children's Books
Christianity
Comics & Graphic Novels
Computers & Internet
Cooking, Food & Wine
Entertainment
Gay & Lesbian
Health, Mind & Body
History
Home & Garden
Horror
Literature & Fiction
Mystery & Thrillers
Nonfiction
Outdoors & Nature
Parenting & Families
Professional & Technical

Reference
Religion & Spirituality
Romance
Science
Science Fiction & Fantasy
Sports
Teens
Travel
Women's Fiction
Science from Fisher Information : A Unification

Science from Fisher Information : A Unification

List Price: $65.00
Your Price: $65.00
Product Info Reviews

<< 1 >>

Rating: 5 stars
Summary: Clarifying physics
Review: "Physics from Fisher Information" is a unification, indeed. The author derives the physical laws for such different fields as quantum mechanics, classical electromechanics, general relativity and statistical mechanics from the single powerful principle of Extreme Physical Information (EPI). This principle probably goes deeper than merely a mathematical similarity between the laws, which as such already helps to grasp the full picture of physics. Personally, I think it's a pity this clarifying book was not written yet when I was a student of physics. To miss this book, is to miss something essential.

Rating: 5 stars
Summary: Clarifying physics
Review: "Physics from Fisher Information" is a unification, indeed. The author derives the physical laws for such different fields as quantum mechanics, classical electromechanics, general relativity and statistical mechanics from the single powerful principle of Extreme Physical Information (EPI). This principle probably goes deeper than merely a mathematical similarity between the laws, which as such already helps to grasp the full picture of physics. Personally, I think it's a pity this clarifying book was not written yet when I was a student of physics. To miss this book, is to miss something essential.

Rating: 5 stars
Summary: statistics is the Theory of Everything
Review: If, like me, you're fed up with popular science books which are too scared to include equations, I expect you'll find this as enormously challenging, stimulating and satisfying as I did.

The author interprets all physical measurement as extraction of Fisher information from the object being measured. From this he derives, for example, the Heisenberg uncertainty principle as a special case of the Cramer-Rao lower bound. By assuming, in addition, conservation of charge he derives Maxwell's equations and, similarly, from conservation of momentum he derives general relativity. He also derives - - amongst others! - - classical thermodynamics, and the Klein-Gordon equation (relativistic generalization of Schrodinger equation).

He also uses his theory to make predictions, such as that the neutrino has mass >0, and that the rate of change of entropy has a finite upper bound (as well as the lower bound of zero). Towards the end of the book are chapters on less physical topics including financial markets and cancer growth.

It wasn't easy going, even with a degree in maths (more knowledge of tensors would've helped), but the way he derives such a frankly amazing amount from so few premises convinces me that he is on to something important.


Rating: 5 stars
Summary: Well-written and important, but keep math texts handy
Review: This is a compilation of Roy Frieden's work in major physics journals over the last decade deriving the basic laws of physics - relativistic quantum mechanics, electromagnetism, gravitation, statistical thermodynamics - from a quantity (used by mathematical statisticians and by hardly anyone else) called Fisher Information. He derives the Klein-Gordon equation, Schroedinger wave equations, Maxwell's equations, DeWitt-Wheeler law of quantum gravity, and various statistical thermodynamics laws. Whew. Basically, while folks have focused in the past on Shannon information and entropy (all global measures), Frieden's worked on Fisher information which is a local measure (e.g. based on a derivative). Optimization of functionals of Fisher information gives differential equations as results, which become laws of physics. Cute.

Anyone with a Bachelors in Engineering would have been exposed to enough physics to understand what Frieden has done. The mathematics is at senior-level math/grad level engineering level. Well-written and not at all cryptic, Frieden goes out of his way to motivate his arguments. In fact, Roy spends 100 pages in preparation and discussion before he even gets to his first real derivation.

Operations Researchers (like me), Applied Mathematicians, EE Control Theory types and Statisticians will find the mathematics pretty comfortable...even if we don't understand all the physics implications. Philosophical types with strong math backgrounds can profitably wade through the text just to get a flavor of his arguments.

Cambridge *really* wanted to publish this textbook. They even included Frieden's umm..errr...interesting pencil sketches of himself and other luminaries. Check out the New Scientist archives for an article in January 1999 on Frieden's work.

One warning. This is *not* light reading. Those looking for the "Tao of Fisher Information" will have to wait for some of us to write a pop sci version of his work. If you want to get a feeling for Frieden's work before you buy the book, read the articles "Estimation of distribution laws, and physical laws, by a principle of extremized physical information", Physica A, 198 (1993) 262-338 or "Lagrangians of physics and the game of Fisher-information transfer", Phys Rev E, 52(3), Sept 1995, 2274-2286.

Rating: 5 stars
Summary: Fisher knowledge is the only knowledge
Review: With my advanced copy of this wonderful book, I can truly say that all physics ends here. I foresee every field of science laying down their texts and proclaiming this one as the end all be all. A must read for anyone.


<< 1 >>

© 2004, ReviewFocus or its affiliates