The norm of two-element numbers as probability amplitude

Contents

1. Andrei Khrennikov’s hyperbolic quantum mechanics
2.Parabolic – or dual – numbers as the stepchild of two-element numbers
3. Sketchy of a general-purpose probability theory
4. Additional comments
4.1 Summary of probabilities
4.2 Probabilities and the triangle inequality
4.3 The probabilities in the light of the relationship between the two-element numbers and the infinities
4.4 The probabilities in light of the two-element numbers as the space-time interpretations

Appendix

1. Elementary attributes of the two-element numbers
2. Geometric elements on the number-planes of the two-element numbers
2.1 Geometric representation of multiplication
2.2 Geometric representation of addition
3. Modeling of geometries
4. The two-element numbers and the geometric algebra
5. Modeling of set theories, and the representation of infinity as a new quality

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