Cardone F., Miqnani R. Energy and Geometry: An Introduction to Deformed Special Relativity

World Scientific Publishing Company, 2004, Pages: 146, ISBN: 9812387285This book discusses in detail the mathematical aspects and physical applications of a new geometrical structure of space-time. It is based on a generalization ("deformation") of the usual Minkowski space, supposedly endowed with a metric whose coefficients depend on the energy. Energy and Geometry: Geometrical Description of Interactions is suitable for researchers, academics and students in mathematical and theoretical physics.Aim of this book is to acquaint the reader with the basic concepts and methods of Deformed Special Relativity (DSR). Part I and II contain the physical and mathematical foundations of the theory. In Part III, we discuss the physical experiments whose analysis allows one to derive the explicit form of the phenomenological metrics for all four fundamental interactions, and some of the physical applications of the DSR formalism. The connection of DSR with the problem of the breakdown of local Lorentz invariance is considered in Part IV. The natural link between DSR and a generalized, five-dimensional Kaluza-Klein scheme is also outlined.Generalizing Special Relativity
An Axiomatic View to Special Relativity
Deformed Minkowski Space-Time
Description of Interactions by Energy-Dependent MetricsRelativity in a Deformed Space-Time
Generalized Principle of Relativity and Lorentz Transformations
Relativistic Kinematics in a Deformed Minkowski Space
Wave Propagation in a Deformed Space-TimeMetric Description of Fundamental Interactions
Nonlocal Effects in Electromagnetic Interaction
Energy-Dependent Metric for Gravitation
Weak Interaction
Strong Interaction
Metrics of InteractionsBreakdown of Local Lorentz Invariance
Experimental Tests of Local Lorentz Invariance
A New Electromagnetic Test of LLI
The Gravitational Mass of Electron from Geometry
Toward the Fifth Dimension