Number of found documents: 8
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A new observational axiomatization of quantum mechanics, the inconsistency of the ontic model of quantum mechanics and the end of the quantum non-locality
Souček, Jiří
2017 - English
In this paper we describe a new axiomatization of quantum mechanics (QM) in which we replace the concept of the measurement by the concept of the observation. We shall describe and discuss this axiomatization in details. We show that new axioms are clear and evident and based on the common sense. Our approach is based on the idea of the observation of the individual state of the individual measuring system. We distinguish two concepts of a state: the individual state of the individual measuring system and the state of an ensemble of systems. Then we prove that the ontic model of QM (where the wave function describes the state of the individual system) is inconsistent. This is our main result. It implies that the "standard von Neumann's text-book QM" is inconsistent. This implies the necessity to consider "non-realistic" models for QM. Moreover we show that the proofs of Bell's theorem and of quantum nonlocality are not valid in these "nonrealistic" models for QM. This implies that there is no valid proof of the quantum nonlocality. V tomto článku popisujeme novou axiomatizaci kvantové mechaniky (QM) ve které vyměňujeme pojem měření pojmem pozorování. Diskutujeme a popisujeme tuto axiomatizaci ve všech detailech. Ukazujeme, že nové axiomy jsou jasné a evidentní a založen na zdravém rozumu. Náš přístup je založen na ideji pozorování individuálního stavu individuálního měřícího systému. Rozlišujeme dva pojmy stavu: individuální stav individuálního měřícího systému a stav ensemblu systémů. Dokazujeme, že ontický model QM (kde vlnová funkce popisuje stav individuálního systému) je nekonzistentní. To je náš hlavní výsledek. Implikuje, že "standardní von Neumannova učebnicová QM" je nekonzistentní. To implikuje nutnost uvažovat "nerealistické" modely pro QM. Navíc ukazujeme, že důkazy Bellovy věty a kvantové nelokality jsou neplatné v těchto "nerealistických" modelech pro QM. To způsobuje, že neexistuje platný důkaz kvantové nelokality. Keywords: kvantová mechanika; axiomatická teorie systémů; ontologie Available in a digital repository NRGL
A new observational axiomatization of quantum mechanics, the inconsistency of the ontic model of quantum mechanics and the end of the quantum non-locality

In this paper we describe a new axiomatization of quantum mechanics (QM) in which we replace the concept of the measurement by the concept of the observation. We shall describe and discuss this ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2017

The hybrid-epistemic model of quantum mechanics and the possible solution to the measurement problem
Souček, Jiří
2017 - English
In this study we introduce and describe in details the hybrid-epistemic model for quantum mechanics. The main differences with respect to the standard model are following: (1) the measurement process is considered as an internal process inside quantum mechanics, i.e. it does not make a part of axioms and (2) the process of the observation of the state of the individual measuring system is introduced into axioms. The intrinsic measurement process is described in two variants (simplified and generalized). Our model contains hybrid, epistemic and hybrid-epistemic systems. Each hybrid system contains a unique orthogonal base composed from homogeneous (i.e. ontic) states. We show that in our model the measurement problem is consistently solvable. Our model represents the rational compromise between the Bohr’s view (the ontic model) and the Einstein’s view (the epistemic model). Keywords: Bohr; Einstein; kvantová mechanika; ontologie; axiomatická teorie systémů; gnozeologie Available in a digital repository NRGL
The hybrid-epistemic model of quantum mechanics and the possible solution to the measurement problem

In this study we introduce and describe in details the hybrid-epistemic model for quantum mechanics. The main differences with respect to the standard model are following: (1) the measurement process ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2017

The particle model for the Higgs’ condensate and the anomalous geometrical diffraction
Souček, Jiří
2017 - English
In this paper we propose a particle model for the Higgs’ condensate: we propose that this condensate is the set of (infinite velocity) non-local tachyons. We show that then there exists the anomalous geometrical diffraction (which contradicts to quantum mechanics). We show that there exists a universal time constant which defines the limits of the validity of quantum mechanics. We propose an experiment testing the existence of the anomalous geometrical diffraction. We proposed the dark energy conjecture which enables to make an estimate of the time constant. We assume certain (“Feynman”) interaction between standard particle and the nonlocal tachyon. All this is related to the new (finite) form of the Feynman integral. Keywords: dark energy; geometrie; kvantová mechanika Available in a digital repository NRGL
The particle model for the Higgs’ condensate and the anomalous geometrical diffraction

In this paper we propose a particle model for the Higgs’ condensate: we propose that this condensate is the set of (infinite velocity) non-local tachyons. We show that then there exists the anomalous ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2017

New Axiomatization of Quantum Mechanics
Souček, Jiří
2017 - English
In this paper we describe a new (complete) axiomatization of quantum mechanics (QM) in which we add axioms describing the concept of an observation. We show that new axioms are clear and evident and based on common sense. Our approach is based on the idea of the observation of properties of an individual measuring system. We distinguish two concepts of a state: the properties of an individual measuring system and the state of an ensemble of systems. Then we prove that the ontic model of QM is inconsistent. This is our main result. This implies the necessity to consider “non-realistic” models for QM in which it is not true that each wave-function describes a possible state of an individual system. Our axiomatization is based on the postulate of the existence of definite outputs of an experiment. Thus the evident reality of the existence of definite outputs implies that our axiomatization is true and verifiable. Keywords: kvantová mechanika; axiomatická teorie systémů; ontologie Available in a digital repository NRGL
New Axiomatization of Quantum Mechanics

In this paper we describe a new (complete) axiomatization of quantum mechanics (QM) in which we add axioms describing the concept of an observation. We show that new axioms are clear and evident and ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2017

The proof that Bell’s theorem is scientifically unfounded
Souček, Jiří
2016 - English
We prove that the Bell’s theorem and the nonlocality of quantum mechanics are scientifically unfounded statements. Keywords: Bellova věta; Bell’s theorem; kvantová mechanika; kvantová fyzika; metafyzika Available in a digital repository NRGL
The proof that Bell’s theorem is scientifically unfounded

We prove that the Bell’s theorem and the nonlocality of quantum mechanics are scientifically unfounded statements.

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2016

The locality of the modified Quantum Mechanics
Souček, Jiří
2015 - English
In this note we shall show the relation between the locality of Quantum Mechanics and the meaning of the quantum state. Keywords: Bell's inequality experiments; kvantová mechanika; ontologie; kvantová fyzika Available in a digital repository NRGL
The locality of the modified Quantum Mechanics

In this note we shall show the relation between the locality of Quantum Mechanics and the meaning of the quantum state.

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2015

The restoration of locality
Souček, Jiří
2015 - English
From the dichotomy "nonlocality vs non-realism" which is the consequence of Bell Inequalities (BI) we shall choose the non-realism. We shall present here the modified Quantum Mechanics (modQM) in the axiomatic form. ModQM was introduced in [5] and we shall show its non-realism in the description of an internal measurement process. ModQM allows the restoration of locality, since BI cannot be derived in it. In modQM it is possible to solve: the measurement problem, the collapse problem, the problem of a local model for EPR correlations (see[5]). ModQM is a unique explicit realization of non-realism in QM. ModQM should be preferred as an alternative to the standard QM mainly since it restores the locality. Keywords: Bell's inequality experiments; kvantová mechanika; ontologie; axiomatická teorie systémů Available in a digital repository NRGL
The restoration of locality

From the dichotomy "nonlocality vs non-realism" which is the consequence of Bell Inequalities (BI) we shall choose the non-realism. We shall present here the modified Quantum Mechanics (modQM) in the ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2015

The principle of anti-superposition in QM and the local solution of the Bell’s inequality problem
Souček, Jiří
2014 - English
V této práci identifikujeme princip superpozice jako hlavní zdroj problémů kvantové mechaniky (měření, kolaps, nelokalita atd.). Princip superpozice pro individuální systémy je nahrazen principem anti-superpozice: žádná netriviální superpozice stavů není možný individuální stav (ale pro ansámbly princip superpozice platí). Modifikovaná kvantová mechanika je založena na principu anti-superpozice a na novém typu teorie pravděpodobnosti (rozšířená teorie pravděpodobnosti [1]), která umožňuje reverzibilní Markovovské procesy jako model pro kvantovou mechaniku. V modifikované kvanotvé mechanice proces měření je procesem uvnitř kvantové mechaniky a je definován pojem pozorování stavu měřícího systému. Výsledná hodnota je atributem ansámblu měřených systémů. Kolaps kvantového stavu je nahrazen procesem selekce. Ukazujeme, že odvození Bellových nerovností není možné a tedy modifikovaná kvantová mechanika je lokální. Hlavní výsledky jsou: lokalita modifikované kvantové mechaniky, lokální vysvětlení EPR korelací, neexistence vlnově-korpuskulární duality, řešení problému měření. Ukazujeme, že kvantová mechanika může být chápána jako nový druh statistické mechaniky pro mnoho-částicové systémy. In this paper we identify the superposition principle as a main source of problems in QM (measurement, collapse, non-locality etc.). Here the superposition principle for individual systems is substituted by the anti-superposition principle: no non-trivial superposition of states is a possible individual state (for ensembles the superposition principle is true). The modified QM is based on the anti-superposition principle and on the new type of probability theory (Extended Probability Theory [1]), which allows the reversible Markov processes as models for QM. In the modified QM the measurement is a process inside of QM and the concept of an observation of the measuring system is defined. The outcome value is an attribute of the ensemble of measured systems. The collapse of the state is substituted by the Selection process. We show that the derivation of Bell’s inequalities is then impossible and thus QM remains a local theory. Our main results are: the locality of the modified QM, the local explanation of EPR correlations, the non-existence of the wave-particle duality, the solution of the measurement problem. We show that QM can be understood as a new type of the statistical mechanics of many-particle systems. Keywords: princip superpozice; principle of superposition; kvantová mechanika; teorie pravděpodobnosti; měřicí metody Available in a digital repository NRGL
The principle of anti-superposition in QM and the local solution of the Bell’s inequality problem

V této práci identifikujeme princip superpozice jako hlavní zdroj problémů kvantové mechaniky (měření, kolaps, nelokalita atd.). Princip superpozice pro individuální systémy je nahrazen principem ...

Souček, Jiří
doc. RNDr. Jiří Souček, DrSc., 2014

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