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Mon, 22 Jan 2018 21:16:26 +0100Joomla! - Open Source Content Managementen-gbThe society's and the individual's coaction from a subjective viewpoint
http://infinitemath.hu/en/others/341-the-society-s-and-the-individual-s-coaction-from-a-subjective-viewpoint
http://infinitemath.hu/en/others/341-the-society-s-and-the-individual-s-coaction-from-a-subjective-viewpointApropos 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. After registration, you may ask for a translation of the full text by email.]]>miklos@bartim.hu (Mlakár Katalin)OthersThu, 02 Mar 2017 15:40:28 +0100Einstein was Right – The Interpretation of Big Bell Test is False
http://infinitemath.hu/en/others/331-einstein-was-right-the-interpretation-of-big-bell-test-is-false
http://infinitemath.hu/en/others/331-einstein-was-right-the-interpretation-of-big-bell-test-is-false 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 After registration, you may ask for a translation of the full text by email. ]]>miklos@bartim.hu (Mlakár Katalin)OthersThu, 08 Dec 2016 17:58:26 +0100Quantum Cats and Other Quantum Tricks, Part IV
http://infinitemath.hu/en/others/218-quantum-cats-and-other-quantum-tricks-part-iv
http://infinitemath.hu/en/others/218-quantum-cats-and-other-quantum-tricks-part-iv Bell inequalities Contents1. Introduction2. The quantum phenomena and the information3. The quantum phenomena and the measurement3.1. The two-element numbers as special infinite-models3.2. The two-element numbers as space-time-models3.3. Addition rules for probabilities3.3.1. Quantum descriptions – as complex interference of probabilities3.3.2. Classical description of probabilities – as parabolic interference of probabilities3.3.3. Hyperbolic interference of probabilities3.4. Cartesian coordinates and polar coordinates of two-element numbers4. Measurement and information – conjectures relating to the incompleteness of the quantum formalism5. Bell inequalities After registration, you may ask for a translation of the full text by email.]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 15:09:13 +0200Quantum Cats and Other Quantum Tricks, Part III
http://infinitemath.hu/en/others/217-quantum-cats-and-other-quantum-tricks-part-iii
http://infinitemath.hu/en/others/217-quantum-cats-and-other-quantum-tricks-part-iii EPR Thought Experiment and Hidden Variable Theory Contents 1. EPR thought experiment and the mysterious non-local effect2. Hidden variable theory After registration, you may ask for a translation of the full text by email.]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 15:04:23 +0200Quantum Cats and Other Quantum Tricks, Part II
http://infinitemath.hu/en/others/216-quantum-cats-and-other-quantum-tricks-part-ii
http://infinitemath.hu/en/others/216-quantum-cats-and-other-quantum-tricks-part-ii 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…]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 14:59:14 +0200Quantum Cats and Other Quantum Tricks, Part I
http://infinitemath.hu/en/others/215-quantum-cats-and-other-quantum-tricks-part-i
http://infinitemath.hu/en/others/215-quantum-cats-and-other-quantum-tricks-part-i 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 Gribbin, Computing with Quantum Cats After registration, you may ask for a translation of the full text by email.]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 14:50:43 +0200From the negative hyperbolic probabilities toward a new and unified mathematical toolkit
http://infinitemath.hu/en/others/214-from-the-negative-hyperbolic-probabilities-toward-a-new-and-unified-mathematical-toolkit
http://infinitemath.hu/en/others/214-from-the-negative-hyperbolic-probabilities-toward-a-new-and-unified-mathematical-toolkitOn the occasion of one of Florin Moldoveanu articles1 Contents 1. On the mathematics of the quantum physics2. Florin Moldovaenu ideas from the hyperbolic QM3. Beginnings of the use of hyperbolic numbers4. Summary and the outlines of the future Appendix I 1. Elementary attributes of the two-element numbers2. Inner product, or dot product and the quadratic forms of two-element numbers3. Outer product, or symplectic bilinear forms of two-element numbers4. Geometric elements on the number-planes of the two-element numbers4.1 Geometric representation of multiplication4.2 Geometric representation of addition5. Modeling of geometries6. The two-element numbers and the geometric algebra7. Modeling of set theories, and the representation of infinity as a new quality Appendix IIThought experiment with hyperbolic norm and convergence definition ______________________________ 1 Florin…]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 14:47:34 +0200Marginalia to Andrei Khrennikov's hyperbolic quantum mechanics
http://infinitemath.hu/en/others/213-marginalia-to-andrei-khrennikov-s-hyperbolic-quantum-mechanics
http://infinitemath.hu/en/others/213-marginalia-to-andrei-khrennikov-s-hyperbolic-quantum-mechanicsThe norm of two-element numbers as probability amplitude Contents 1. Andrei Khrennikov’s hyperbolic quantum mechanics2.Parabolic – or dual – numbers as the stepchild of two-element numbers3. Sketchy of a general-purpose probability theory4. Additional comments4.1 Summary of probabilities4.2 Probabilities and the triangle inequality4.3 The probabilities in the light of the relationship between the two-element numbers and the infinities4.4 The probabilities in light of the two-element numbers as the space-time interpretations Appendix 1. Elementary attributes of the two-element numbers2. Geometric elements on the number-planes of the two-element numbers2.1 Geometric representation of multiplication2.2 Geometric representation of addition3. Modeling of geometries4. The two-element numbers and the geometric algebra5. Modeling of set theories, and the representation of infinity as a new quality After registration,…]]>miklos@bartim.hu (Mlakár Katalin)OthersSat, 30 Jul 2016 14:34:25 +0200