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Bulletin of the American Physical Society

Euclidean relativistic quantum mechanics I

Wayne Nicholas Polyzou, Philip Kopp

Published Oct 29, 2011• 0 citations
OpenAlex

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: In our previous works, we showed that the Einstein-Podolsky-Rosen (EPR) paradox could be resolved by constructing a Euclidean relativity that not only leads to the same results obtained from Einstein general relativity but also permits an instantaneous transmission of interaction. However, there still remains the question about the nature of these physical fields and their mathematical formulations if they exist. In this work we show that it is possible to formulate Euclidean relativistic field equations similar Dirac equation from a general system of linear first order partial differential equation. Since the speeds of the Euclidean relativistic fields have no upper values, they can be used to rectify the quantum entanglement in quantum mechanics.

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Euclidean quantum mechanics : analytical approach

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We give a Hilbert space picture of a novel probabilistic interpretation of the classical heat equation, realizing an idea of Schrodinger. By this we also obtain an Euclidean version of non relativistic Quantum Mechanics, distinct from the one obtained using the Feynman-Kac formula On donne une version hilbertienne d'une nouvelle interpretation probabiliste de l'equation classique de la chaleur, ce qui realise une idee de Schrodinger. On obtient une version euclidienne de la mecanique quantique non relativiste distincte de celle obtenue par la formule de Feynman-Kac

Annales De L Institut Henri Poincare-physique Theorique•Jan 1, 1989•17 citations
: In our previous works, we showed that the Einstein-Podolsky-Rosen (EPR) paradox could be resolved by constructing a Euclidean relativity that not only leads to the same results obtained from Einstein general relativity but also permits an instantaneous transmission of interaction. However, there still remains the question about the nature of these physical fields and their mathematical formulations if they exist. In this work we show that it is possible to formulate Euclidean relativistic field equations similar Dirac equation from a general system of linear first order partial differential equation. Since the speeds of the Euclidean relativistic fields have no upper values, they can be used to rectify the quantum entanglement in quantum mechanics.
We give a Hilbert space picture of a novel probabilistic interpretation of the classical heat equation, realizing an idea of Schrodinger. By this we also obtain an Euclidean version of non relativistic Quantum Mechanics, distinct from the one obtained using the Feynman-Kac formula On donne une version hilbertienne d'une nouvelle interpretation probabiliste de l'equation classique de la chaleur, ce qui realise une idee de Schrodinger. On obtient une version euclidienne de la mecanique quantique non relativiste distincte de celle obtenue par la formule de Feynman-Kac