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  1. Can Fractional Calculus be Applied to Relativity?S. A. David & J. A. Rabi - 2020 - Axiomathes 30 (2):165-176.
    Interest has been recently devoted to historical and philosophical aspects about fractional calculus and its adoption as additional mathematical tool in different physics areas as well as in other scientific applications. However, potential application of FC towards relativity is still lacking. In relativity theory, Lorentz transformation of time and position coordinates plays a major role while the corresponding outcomes still defy our ‘common sense’. As some problems in physics can be solved by following different mathematical routes leading to the same (...)
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  • General-Relativistic Covariance.Neil Dewar - 2020 - Foundations of Physics 50 (4):294-318.
    This is an essay about general covariance, and what it says about spacetime structure. After outlining a version of the dynamical approach to spacetime theories, and how it struggles to deal with generally covariant theories, I argue that we should think about the symmetry structure of spacetime rather differently in generally-covariant theories compared to non-generally-covariant theories: namely, as a form of internal rather than external symmetry structure.
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  • Physical Relativity From a Functionalist Perspective.Eleanor Knox - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:118-124.
    This paper looks at the relationship between spacetime functionalism and Harvey Brown’s dynamical relativity. One popular way of reading and extending Brown’s programme in the literature rests on viewing his position as a version of relationism. But a kind of spacetime functionalism extends the project in a different way, by focussing on the account Brown gives of the role of spacetime in relativistic theories. It is then possible to see this as giving a functional account of the concept of spacetime (...)
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  • How Could Relativity Be Anything Other Than Physical?Wayne C. Myrvold - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67:137-143.
    Harvey Brown’s Physical Relativity defends a view, the dynamical perspective, on the nature of spacetime that goes beyond the familiar dichotomy of substantivalist/relationist views. A full defense of this view requires attention to the way that our use of spacetime concepts connect with the physical world. Reflection on such matters, I argue, reveals that the dynamical perspective affords the only possible view about the ontological status of spacetime, in that putative rivals fail to express anything, either true or false. I (...)
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  • Unweyling Three Mysteries of Nordström Gravity.Patrick M. Duerr - forthcoming - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics.
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