Others (8)

Apropos of an ÉS’s article written by Károly Fazekas[1]

Contents

  1. On the individual's role
  2. On the society's and the social groups' role
  3. On the individual and the society affecting each other
    1. In peacetime
    2. In troublous time
  4. Conclusion

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

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Last modified on Thursday, 02 March 2017 15:44

Cikkbe kep 2

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

  1. A brief overview of the mathematics of probabilities
  2. The problem of the Bell inequalities
  3. Summary

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Last modified on Thursday, 08 December 2016 18:03

bell int 1

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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bell p1050530_k

p1050535 km

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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e 1930 p3

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.

___________________________

1 Albert Einstein, „The Born-Einstein Letters 1916-55”

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P1050517 k

Brief thoughts on John Gribbin's book1

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.

__________________________

1 John GribbinComputing with Quantum Cats

 

 

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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

______________________________

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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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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