Начало > Публикации > Теоремата на фон Нойман за отсъствие на скрити параметри в квантовата механикаТеоремата на фон Нойман за отсъствие на скрити параметри в квантовата механика
- Език:
- Български
- Автор(и)
- Васил Пенчев
- Ключови думи
- фон Нойман, квантова механика. скрити параметри, причинност
- Накратко:
- Mathematical formalism and reality – How Hilbert space combined Schrödinger‘s ondulatory mechanics with Heisenberg‘s matrix mechanics – Wave-corpuscular dualism from a logical viewpoint – On the relations in Russell – Schrödinger‘s paper on the equivalence of the two formulations – The conditions for such eqivalence – Matter as a „funcion of its boudaries“ – Quantum correlations and insoluble statements – Relationships „by themselves“ and relational ontology – Again about „the element of reality“ – Plato‘s Cave in the computers age – Dual vector spaces – Hypermaximal operators and physical quantities – Schrödinger‘s equation – „Yang and Yin” – The Lagrange and Hamilton formalism of mechanics – The approch of Gibbs – The principle of conservation of extension-in-phase – „Hidden parameters” and „possible worlds” – A real object being in a possible state of another – Dirac‘s δ-function – Schwartz distributions – Inseparable and rigged Hilberts spaces – What about Lorentz invariance? – Wave-corpuscular dualism – The being of a quantum entity as a question – The answer, or again about the choice – Shannon information – The „curling” of actuality by chance – Simultaneity and „eventuality” – The relativity of discreteness and continuality – „Bra and ket vectors” and their space – The Riesz representation theorem – Weak and strong topology – The impossibility of „absolutely immovable body ” – Superquantum correlations? – The Wightman axioms of quantum field – The approaces of Gibbs and Einstein for statistical description – The outlined context and the meaning of von Neumann‘s theorem – Cauasality in von Neumann – A „taoist” ilustration of it – On „hidden parameters” – Russell‘s „non-symmetrical relations” – One or more time series – The axiom of choice and the repeated choice – If we postulate correlations, and deduce indetermimism … – „No-signaling principle” and „non-signaling theories” – Simultaneity in quantum mechanics and in relativity – „Simultaneous immeasurablity ” and„simultaneous undecidablity” – The premisses of the theorem – Tsallis information – The exact statement of the theorem and its meaning – Hermitian, maximal, and hypermaximal operators – A Skolemian interpretation of the argument EPR – Again about „dualistic Pythagoreanism” – Isometric and unitary operators – Time as a „hidden parameter” – Conservation and identity
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