by Fabio Cardone (National Research Council, CNR, Roma, Italy) & Roberto Mignani (Università di Roma “Roma Tre”, Italy)

This 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.

This book has been selected for coverage in:

• CC / Physical, Chemical & Earth Sciences

• Index to Scientific Book Contents® (ISBC)

• Generalizing Special Relativity:
  • An Axiomatic View to Special Relativity
  • Deformed Minkowski Space–Time
  • Description of Interactions by Energy-Dependent Metrics
• Relativity 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–Time
• Metric Description of Fundamental Interactions:
  • Nonlocal Effects in Electromagnetic Interaction
  • Energy-Dependent Metric for Gravitation
  • Weak Interaction
  • Strong Interaction
  • Metrics of Interactions
• Breakdown 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