Developments in Mathematical and Experimental Physics
Alfredo Macias (Editor), Francisco Uribe (Editor), Enrique DiazBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
This book is divided into three parts and includes new results, reviews, and recent developments of some special topics on Hydrodynamics, Dynamical Systems, Astrophysics, Quantum Mechanics, Relativity, and DNA evolution.The first part deals with Hydrodynamics including historical aspects, applications of recent theories to extend the Navier-Stokes regime, and new results on known methods for going beyond the Navier-Stokes equations.
The second part is devoted to Dynamical Systems including new results on the problem of regularization of collisions and the Poincaré continuation method. The second part also contains reviews of several aspects of the theory of Dynamical Systems.
The third part deals with microquasars and astrophysics, fundamental aspects of Quantum Mechanics, superluminal propagation, and DNA evolution.
Synopsis
The first part is devoted to the topic of quantum gravity and string theories, mainly concerned with recent authoritative results in the study of discretizations in classical and quantum general relativity, non-commutative theories of gravity, (2+1)-dimensional supergravity, and Berezin description of Kaehler quotients. The field to particle transition problem is also considered.
The second part deals with cosmology and black holes. Here, cosmological, inflationary, and braneworld scenarios are investigated. Moreover, some scalar field models for the dark matter content of the universe as well as new models of protostellar collapse and fragmentation are presented. This part includes also a study of de Sitter/Anti-de Sitter phase transition for black holes, an understanding of hairy black holes and an improvement of the no-hair theorem proof for the Proca field.
The third part is devoted to exact solutions, in particular classical and quantum cosmological solutions in scalar-tensor theories. Additionally, a discussion about conformally flat axisymmetric spacetimes and some considerations on accelerated expansion in scalar-tensor theories are presented.
Experimental and some mixed topics are included in the final part. Among them is an experimental foundation of nonlocality and superluminal signal velocity in photonic tunneling, a proposal for testing the weak equivalence principle for charged particles in space. Moreover, a possible new type of skewon field linked to Maxwell theory is also presented, and an authoritative discussion at the interface of quantum and gravitational realms.