Fluctuations, Information, Gravity and the Quantum Potential (Fundamental Theories of Physics) 2006th Edition by R.W. Carroll (PDF)

Description

A main theme of the book outlines the role of the quantum potential in quantum mechanics and general relativity and one of its origins via fluctuations formulated in terms of Fisher information. Another theme is the description of various approaches to Bohmian mechanics and their role in quantum mechanics and general relativity. Along the way various approaches to, for instance, the Dirac equation, the Einstein equations, the Klein-Gordon equation, the Maxwell equations and the Schrödinger equations are described. Statistics and geometry are intertwined in various ways and, among other matters, the aether, cosmology, entropy, fractals, quantum Kaehler geometry, the vacuum and the zero point field are discussed. There is also some speculative material and some original work along with material extracted from over 1000 references and the work is current up to April 2005.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐by B. Roy FriedenThis book is an excellent summary – often in depth — of modern themes in statistical mathematical physics. Its overall theme is the intimate connection between concepts of quantum fluctuations, expressed via Fisher information, diffusion processes, etc., on one hand, to the so-called “quantum potential” of Bohm on the other. A tremendous range of modern physical theory is presented, of which but a tiny subset can be mentioned in this review. The concept of the quantum potential was championed by D. Bohm as a link between classical and quantum theory, and is a trajectory-based version of elementary quantum mechanics (the trajectories existing at least as a handy “illusion,” according to the author.). The Bohm potential has lately been used for similar purposes by Reginatto and Hall, and also to derive an “exact” version of the Heisenberg uncertainty principle. Concepts of information (Shannon- and Fisher- varieties) and entropy are widely used throughout. The Bohm potential is also used in the duality theory of Faraggi and Matone and in many other concepts of modern quantum theory. The view of physics afforded by the Extreme physical information (EPI) approach of Frieden is objectively and factually summarized. Quantum fluctuation theory is widely used, in application to diffusion theory and stochastic electrodynamics. So also is quantum field theory, in particular work by Nikolic.This is predominantly a book of mathematical theory, which therefore contains many equations. These are both set out and located within the text. However, the notation is straightforward for any graduate-level theoretical physicist or mathematician, and the writing style is informal and (as a result) informative. There is a wealth of expository material on the aims and accomplishments of the theories. I heartily recommend the book to any physicist or mathematician who wants an in-depth view of today’s statistical physics, particularly its tie-ins to the Bohm potential.

⭐Not found.

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