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Newtonian Fractional-Dimension Gravity and MOND

Gabriele U. Varieschi

Foundations of Physics 50 (11):1608-1644 (2020)

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An Introduction to Quantum Field Theory.Michael Peskin & Dan Schroeder - 1995 - Westview Press.details An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the (...) Download Export citation Bookmark 96 citations
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Answers in search of a question: ‘proofs’ of the tri-dimensionality of space.Craig Callender - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):113-136.details From Kant’s first published work to recent articles in the physics literature, philosophers and physicists have long sought an answer to the question, why does space have three dimensions. In this paper, I will flesh out Kant’s claim with a brief detour through Gauss’ law. I then describe Büchel’s version of the common argument that stable orbits are possible only if space is three-dimensional. After examining objections by Russell and van Fraassen, I develop three original criticisms of my own. These (...) Download Export citation Bookmark 8 citations
Newtonian Fractional-Dimension Gravity and MOND.Gabriele U. Varieschi - 2020 - Foundations of Physics 50 (11):1608-1644.details This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss’s law for gravity as well as other fundamental classical laws are extended to a D-dimensional metric space, where D can be a non-integer dimension. We show a possible connection between this Newtonian Fractional-Dimension Gravity (NFDG) and Modified Newtonian Dynamics (MOND), a leading alternative gravity model which accounts for the observed properties of galaxies and other astrophysical (...) Download Export citation Bookmark 1 citation
Гетьман і. брюховецький у російській дореволюційній історіографії.Serhii Tarasov - 2014 - Схід 2 (128):109-115.details The aim of the article is to present historiographical analysis of researches of Russian historians of the XIX - early XX centuries. The view point of Russian scientists on hetman I. Briukhovetsky and his activities is considered. Common features in their concepts are revealed. The proposed by the Russian historians motivation of the hetman`s activity is analyzed. Russian historians paid attention to the visit of I. Briukhovetsky to Moscow in 1665 (the first ever visit of Ukrainian hetman of the Russian (...) Download Export citation Bookmark 2 citations

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