Series 
SpringerBriefs in Physics 

SpringerBriefs in physics.

Subject 
Quantum theory.


Space and time.

Description 
1 online resource (xii, 130 pages). 
Bibliography Note 
Includes bibliographical references and index. 
Contents 
pt. 1. The real geometrical algebra, or, Spacetime algebra : comparison with the language of the complex matrices and spinors  pt. 2. The U(1) gauge in complex and real languages, geometrical properties and relation with the spin and the energy of a particle of spin 1/2  pt. 3. Geometrical properties of the Dirac theory of the electron  pt. 4. The SU(2) gauge and the YangMills theory in complex and real languages  pt. 5. The SU(2) x U(1) gauge in complex and real languages  pt. 6. The GlashowSalamWeinberg electroweak theory  pt. 7. On a change of SU(3) into three SU(2) x U(1)  pt. 8. Addendum  pt. 9. Appendices. 
Summary 
This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski spacetime geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real spacetime algebra, thus revealing a geometric meaning for the znumber iy in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of spacetime geometry. Finally, some implications for quantum electrodynamics are considered.The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one. 
ISBN 
9783642191992 (electronic bk.) 

3642191991 (electronic bk.) 

9783642191985 

3642191983 

9783642191985 
OCLC # 
747105249 
