## Others (8)

### The society's and the individual's coaction from a subjective viewpoint

Written by Mlakár Katalin*Apropos of an ÉS’s article written by Károly Fazekas*^{[1]}

**Contents**

- On the individual's role
- On the society's and the social groups' role
- On the individual and the society affecting each other
- In peacetime
- In troublous time

- Conclusion

** ^{[1]}** ÉS is the abbreviation of “Élet és Irodalom”, which is a literary and political weekly.

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### Einstein was Right – The Interpretation of Big Bell Test is False

Written by Mlakár Katalin**Inappropriate Mathematical Model in the Interpretation of Bell's Inequality**

A few days ago the yellow press was flooded by the news of Big Bell Test. Apropos of Big Bell Test I would like to criticize the interpretation of the Bell inequality as a general principle.

**Content**

- A brief overview of the mathematics of probabilities
- The problem of the Bell inequalities
- Summary

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### Quantum Cats and Other Quantum Tricks, Part IV

Written by Mlakár Katalin**Bell inequalities**

**Contents**

1. Introduction

2. The quantum phenomena and the information

3. The quantum phenomena and the measurement

3.1. The two-element numbers as special infinite-models

3.2. The two-element numbers as space-time-models

3.3. Addition rules for probabilities

3.3.1. Quantum descriptions – as complex interference of probabilities

3.3.2. Classical description of probabilities – as parabolic interference of probabilities

3.3.3. Hyperbolic interference of probabilities

3.4. Cartesian coordinates and polar coordinates of two-element numbers

4. Measurement and information – conjectures relating to the incompleteness of the quantum formalism

5. Bell inequalities

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### Quantum Cats and Other Quantum Tricks, Part III

Written by Mlakár Katalin**EPR Thought Experiment and Hidden Variable Theory**

**Contents**

1. EPR thought experiment and the mysterious non-local effect

2. Hidden variable theory

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### Quantum Cats and Other Quantum Tricks, Part II

Written by Mlakár Katalin**Einstein and the Dice**

I would like to write about EPR experiment and Bell inequalities as well. Before writing this it is worthwhile to mention the much-quoted phrase of Einstein; *“God does not play dice with the universe”*^{1}. Einstein thought that the world determined with causality and the outside world is independent of our cognition process. This belief of Einstein does not mean that our knowledge about the world would not be true only on a probability level. Reputedly Einstein said: *“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality”.* He believed that the probability character is not the attribute of the reality, but that of our knowledge about the reality.

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^{1} Albert Einstein, **„The Born-Einstein Letters 1916-55”**

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### Quantum Cats and Other Quantum Tricks, Part I

Written by Mlakár Katalin**Brief thoughts on John Gribbin's book**^{1}

**John Gribbin**’s book titled *Computing with Quantum Cats* is an eclectic opus. It mixes the history of science with biographical elements of some scientists and with presentation of IT development, supplemented by the theory and practice of quantum computers.

**1. Schrödinger and the Kitten**

Since there is a lot of hearsay about this **Schrödinger**’s thought experiment, it is worth reviewing it in more detail.

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^{1} **John Gribbin**, *Computing with Quantum Cats*

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

Written by Mlakár Katalin**On the occasion of one of Florin Moldoveanu articles ^{1}**

**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**, *„N**on Viability of Hyperbolic Quantum Mechanics as a Theory of Nature”;*

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

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### Marginalia to Andrei Khrennikov's hyperbolic quantum mechanics

Written by Mlakár Katalin**The norm of two-element numbers as probability amplitude**

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**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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