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On the invariance and intrinsicality of four-dimensional shapes in Special Relativity.

Are shapes of objects intrinsic to them? The issue has been intensely debated. Special relativity (SR) adds a new dimension to it by relativizing three-dimensional (3D) shapes not just to times, but to times-in-frames. Arguably, however, such relativized spatial shapes are mere perspectival represen...

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Publicado en:Analysis Vol. 74; no. 4; pp. 608 - 613
Autor principal: Balashov, Yuri
Formato: Artículo
Publicado: Oxford University Press / USA Oct2014
Acceso en línea:Ver este registro en EBSCOhost
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        au: Balashov, Yuri
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        intrinsic
        invariance
        persistence
        relativity
        shape
      ab: Are shapes of objects intrinsic to them? The issue has been intensely debated. Special relativity (SR) adds a new dimension to it by relativizing three-dimensional (3D) shapes not just to times, but to times-in-frames. Arguably, however, such relativized spatial shapes are mere perspectival representations of an invariant, hence intrinsic, four-dimensional (4D) shape of an object in Minkowski spacetime. In a recent note, Matthew Davidson questions the intrinsicality of 4D shapes in SR. I show that his conclusion and the reasoning behind it are in error.
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