Saturday, 30 July 2016 14:47

From the negative hyperbolic probabilities toward a new and unified mathematical toolkit

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On the occasion of one of Florin Moldoveanu articles1

Contents

1. On the mathematics of the quantum physics
2. Florin Moldovaenu ideas from the hyperbolic QM
3. Beginnings of the use of hyperbolic numbers
4. Summary and the outlines of the future

Appendix I

1. Elementary attributes of the two-element numbers
2. Inner product, or dot product and the quadratic forms of two-element numbers
3. Outer product, or symplectic bilinear forms of two-element numbers
4. Geometric elements on the number-planes of the two-element numbers
4.1 Geometric representation of multiplication
4.2 Geometric representation of addition
5. Modeling of geometries
6. The two-element numbers and the geometric algebra
7. Modeling of set theories, and the representation of infinity as a new quality

Appendix II
Thought experiment with hyperbolic norm and convergence definition

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1 Florin Moldoveanu„Non Viability of Hyperbolic Quantum Mechanics as a Theory of Nature”;

http://arxiv.org/pdf/1311.6461v2.pdf

 

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