SQUARE LAW FOR ORBITS IN EXTRA-SOLAR PLANETARY SYSTEMS

Dominguez Hills, S Trihandaru, Antun Rubči´crubˇrubčirubči´, Rubči´c, Jasna Rubči´crubˇrubčirubči´, Rubči´c
unpublished
(EAN) 9788190219099 Printed in India iii Quantization in Astrophysics, Brownian Motion, and Supersymmetry The present book discusses, among other things, various quantization phenomena found in Astrophysics and some related issues including Brownian Motion. With recent discoveries of exoplanets in our galaxy and beyond, this Astrophysics quantization issue has attracted numerous discussions in the past few years. Most chapters in this book come from published papers in various peer-reviewed
more » ... nals, and they cover different methods to describe quantization, including Weyl geometry, Supersymmetry, generalized Schrödinger, and Cartan torsion method. In some chapters Navier-Stokes equations are also discussed, because it is likely that this theory will remain relevant in Astrophysics and Cosmology While much of the arguments presented in this book are theoretical, nonetheless we recommend further observation in order to verify or refute the propositions described herein. It is of our hope that this volume could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. The present book is also intended for young physicist and math fellows who perhaps will find the arguments described here are at least worth pondering. 788190 9 219099 ISBN 81-902190-9-X 90000> iv Preface This book, titled Quantization in Astrophysics, Brownian Motion, and Supersymmetry, is a collection of articles to large extent inspired by some less-understood empirical findings of Astrophysics and Cosmology. Examples in relation to these findings are small but non-vanishing cosmological constant and accelerating cosmological expansion, indication of dark matter and dark energy, the evidence for approximate Bohr quantization of radii of planetary orbits involving gigantic value of effective (or real) Planck constant, Pioneer anomaly and flyby anomalies, and the Tifft's redshift quantization. There is recently no generally accepted theoretical approach to these anomalies and the book is intended to provide a representative collection of competing theories and models. The general theoretical backgrounds indeed cover a wide spectrum: mention only Nottale's Scale Relativity and Schrödinger equation assigned with Brownian motion and its modification proposed by Carlos Castro (#6), Castro's Extended Relativity in Clifford algebra and Weyl geometry based cosmology (#8), Diego Rapoport's work with Cartan-Weyl space-time geometry and representation of random structures via torsion fields (#16,#17), and Pitkanen's Topological Geometrodynamics (#3). It is our hope that the present book could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. November 26 th , 2006 M. Pitkanen
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