Constraints on the nature of inertial motion arising from the universality of free fall and the conformal causal structure of space-time
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Publication:3218762
DOI10.1063/1.526122zbMath0555.53041OpenAlexW1986780093MaRDI QIDQ3218762
Herbert Korte, Robert Alan Coleman
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526122
Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10)
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Remarks concerning the notion of free fall in axiomatic space-time theory ⋮ The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics ⋮ Why fundamental structures are first or second ordera) ⋮ A geometric formulation of the equivalence principle ⋮ Any physical, monopole equation of motion structure uniquely determines a projective inertial structure and an (n−1)-force ⋮ THEORY OF GRAVITATION THEORIES: A NO-PROGRESS REPORT ⋮ Characterization of free fall paths by a global or local Desargues property ⋮ Light cone and Weyl compatibility of conformal and projective structures ⋮ From the Problem of Space to the Epistemology of Science: Hermann Weyl’s Reflection on the Dimensionality of the World ⋮ Talking at cross-purposes: how Einstein and the logical empiricists never agreed on what they were disagreeing about ⋮ All directing fields that are polynomial in the (n−1) velocity are geodesic ⋮ A characterisation of the Weylian structure of space-time by means of low velocity tests ⋮ Harmonic analysis of directing fields ⋮ Space-time philosophy reconstructed \textit{via} massive Nordström scalar gravities? Laws \textit{vs.} geometry, conventionality, and underdetermination ⋮ The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics
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