منابع مشابه
Geometry and Quantum Mechanics
Attempts for a geometrical interpretation of Quantum Theory were made, notably the deBroglie-Bohm formulation. This was further refined by Santamato who invoked Weyl's geometry. However these attempts left a number of unanswered questions. In the present paper we return to these two formulations, in the context of recent studies invoking fuzzy spacetime and noncom-mutative geometry. We argue th...
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Over the past six years, a detailed framework has been constructed to unravel the quantum nature of the Riemannian geometry of physical space. A review of these developments is presented at a level which should be accessible to graduate students in physics. As an illustrative application, I indicate how some of the detailed features of the micro-structure of geometry can be tested using black h...
متن کاملStatistical Geometry in Quantum Mechanics
A statistical model M is a family of probability distributions, characterised by a set of continuous parameters known as the parameter space. This possesses natural geometrical properties induced by the embedding of the family of probability distributions into the space of all square-integrable functions. More precisely, by consideration of the square-root density function we can regard M as a ...
متن کاملThe Geometry of Quantum Mechanics
A recent notion in theoretical physics is that not all quantum theories arise from quantising a classical system. Also, a given quantum model may possess more than just one classical limit. These facts find strong evidence in string duality and M–theory, and it has been suggested that they should also have a counterpart in quantum mechanics. In view of these developments we propose dequantisati...
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A short survey of some material related to conformal general relativity (GR), integrable Weyl geometry, and Dirac-Weyl theory is given which suggests that various actions can be reformulated in terms of the quantum potential. Possible connections to dark matter are also indicated.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2018
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2018.04.008