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 journals, 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 physics and math fellows who perhaps will find the arguments described here are at least worth pondering. Papers by A. Rubcic, J. Rubcic, M. Pitkanen, Fu Yuhua, C. Castro, J. Mahecha, M. Pavsic, J. A. Nieto, J. F. Gonzalez, D. L. Rapoport, Gao Shan, M. Pereira, A. Yefremov, F. Smarandache, V. Christianto.