arXiv subjects

Mioara Mugur-Schachter

Publications and source records attributed to Mioara Mugur-Schachter.

4 recordsLinked to original sources

arXiv2013

Infra-quantum mechanics and critical examination of Bell's theorem on locality The principles of a revolution of epistemology revealed in the descriptions of microstates

This is an improved remake of a previous work submitted with the same title. An epistemologicalphysical, strictly qualitative discipline, IQM (infra-quantum mechanics), is constructed independently of the mathematical formalism of QM. IQM emerges under exclusively the constraints imposed by: the cognitive situation of a human being who decides to construct communicable and consensual knowledge on microstates; general requirements of human conceptualization. IMQ brings into evidence how the mathematical formalism of QM manages to signify. It explicates an integrated expression of a radically new type of descriptional form, transferred on the registering devices of macroscopic apparatuses and primordially statistical. IMQ is then considered globally and its relations with space, time, geometry, consensus, as well as with Einstein's theories, are specified. It appears that: there exists an order of progressive constructability of our conceptualizations of physical reality; this order withstands inclusion of concepts constructed inside macroscopic physics, into the primordial transferred representation of microstates; consequently the aim of directly unifying Einstein's theories, with QM, appears to be impossible. Bell's theorem on locality expresses exclusively this impossibility. Causality appears to be a modelizing concept that cannot be implemented into our primordial representations of physical entities.

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arXiv2010

Kolmogorov's aporia and solution by construction of a relativized and quantified concept of factual probability

The crucial but very confidential fact is brought into evidence that, as Kolmogorov himself repeatedly claimed, the mathematical theory of probabilities cannot be applied to physical, factual probabilistic situations because the factual concept of probability is not defined : it is nowhere specified how to construct, for a given physical random phenomenon, the specific numerical distribution of relative frequencies of outcomes from the universe of elementary events produced by that phenomenon, that constitutes the factual probability law to be asserted on this universe; nor is it known what significance to associate to the assertion of mere 'existence' of such a factual probability law. An algorithm of semantic integration of the factual probability law to be asserted in any given factual probabilistic situation, is then constructed. This algorithm, developed inside a general method of relativized conceptualization, involves a quantification of the factual concept of probability. These results, while solving Kolmogorov's aporia, fully organize the general classical concept of probability, both syntactic and factual. As for quantum mechanical 'probabilities', it comes out, surprisingly, that, factually, they cannot be defined in an effective way: fundamental quantum mechanics seems to be confined (observationally and even in principle) to the establishment of only statistical distributions which, as far as finite data can guarantee, are endowed with stability.

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arXiv2008

On a Crucial Problem in Probabilities and Solution

First the crucial but very confidential fact is brought into evidence that, as Kolmogorov himself repeatedly claimed, there exists no abstract theory of probabilities, simply because the factual concept of probability is itself unachieved: it is nowhere specified how to construct the factual probability law to be asserted on a given physical random phenomenon. Then an algorithm of semantic integration is built that permits to identify this factual probability law.

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arXiv2008

Infra-Mecanique Quantique

A qualitative representation of what is called 'microstates' is constructed quite independently from the mathematical formalism of fundamental Quantum Mechanics, by taking into accont exclusively the constraints imposed by (a) the cognitive situation in which a human being places himself if he decides to construct knowledge concerning microstates; (b) the general requirements of human conceptualisation. The result, called infra quantum mechanics, offers a semantic structure of reference that will permit to develop a unified coherent treatment of all the interpretation problems raised by the formalism of fundamental Quantum Mechanics.

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