The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach

✍ Scribed by Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira (auth.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 592
• Series: Lecture Notes in Physics 922
• Category: Library

✦ Table of Contents

Front Matter....Pages i-xvi
Introduction....Pages 1-19
Multivector and Extensor Calculus....Pages 21-68
The Hidden Geometrical Nature of Spinors....Pages 69-105
Some Differential Geometry....Pages 107-188
Clifford Bundle Approach to the Differential Geometry of Branes....Pages 189-224
Some Issues in Relativistic Spacetime Theories....Pages 225-290
Clifford and Dirac-Hestenes Spinor Fields....Pages 291-329
A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime....Pages 331-358
Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes....Pages 359-393
The DHE on a RCST and the Meaning of Active Local Lorentz Invariance....Pages 395-401
On the Nature of the Gravitational Field....Pages 403-427
On the Many Faces of Einstein Equations....Pages 429-449
Maxwell, Dirac and Seiberg-Witten Equations....Pages 451-483
Superparticles and Superfields....Pages 485-499
Maxwell, Einstein, Dirac and Navier-Stokes Equations....Pages 501-516
Magnetic Like Particles and Elko Spinor Fields....Pages 517-543
Back Matter....Pages 545-587

✦ Subjects

Classical and Quantum Gravitation, Relativity Theory;Mathematical Applications in the Physical Sciences;Differential Geometry