The Ambiguity of Geometric Algebra in the Models of Spacetime

Contents
1.  Memo
1.1. Multivectors in GA₃
1.2. Conjugations in GA₃
1.2.1. Clifford conjugation
1.2.2. Pauli conjugation
1.2.3. The role of complex imaginary unit in the Clifford and Pauli conjugations
2. Minkowski spacetime generated in GA_1,3
2.1. Bivektor algebra
2.2. Lorentz transformation
3. Spacetime model in classic GA₃: the scalar element as a time representation
4. Summary
1. Appendix
Pauli algebra and matrices
2. Appendix
Gamma or Dirac matrices, Dirac algebra
3. Appendix
Lorentz transformation
a. Einstein description with coordinates
b. Applying hyperbolic functions
c. Usage of hyperbolic numbers to describe space time
References

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