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- W1000167209 abstract "Publisher Summary The chapter explores the role played by assumptions of spatial geometry within physical theory, specifically within Newtonian gravitational theory. Standard formulations of Newtonian physics presuppose that space is Euclidean. It is probably most natural to assume that any hypothesis about spatial geometry function only as inessential auxiliary hypothesis within Newtonian physics–superimposed—as it were—on a core of basic underlying physical principles, which themselves are neutral with respect to spatial geometry. The very limiting process that produces Newtonian physics and a well-defined, observer invariant spatial structure also generates strong constraints on spatial curvature. These constraints turn out to be so strong as to guarantee the Euclidean character of space. A good bit of differential geometry is required to make the claim precise. The chapter presents conditions that characterize a kind of generalized Newtonian spacetime structure." @default.
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- W1000167209 date "1986-01-01" @default.
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- W1000167209 title "Gravity and Spatial Geometry" @default.
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- W1000167209 doi "https://doi.org/10.1016/s0049-237x(09)70703-7" @default.
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