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On Penrose's Analogy between Curved Spacetime Regions and Optical Lenses

Lehmkuhl, Dennis and Röken, Christian and Doboszewski, Juliusz (2023) On Penrose's Analogy between Curved Spacetime Regions and Optical Lenses. [Preprint]

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Abstract

We present a detailed analysis of Penrose's gravito-optical analogy between the focusing effects of particular families of Ricci- and Weyl-curved spacetime regions on the one hand, and anastigmatic and astigmatic optical lenses on the other. We put the analogy in its historical context, investigate its underlying assumptions, its range of validity, its proof of concept, and its application in Penrose's study of the notion of energy flux in general relativity. Finally, we examine the analogy within the framework of Norton's material theory of induction.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Lehmkuhl, Dennisdennis.lehmkuhl@uni-bonn.de0000-0001-5987-3234
Röken, Christiancroeken@uni-bonn.de
Doboszewski, Juliuszjdobosze@uni-bonn.de
Keywords: General Relativity, Roger Penrose, Gravity, Curved Spacetime, Optics, Material Theory of Induction, Norton, Einstein, Renaissance of General Relativity, Ray Sachs, Optical Scalars, Newman-Penrose Formalism
Subjects: Specific Sciences > Physics > Astrophysics
Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Historical Sciences
General Issues > History of Science Case Studies
Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr Dennis Lehmkuhl
Date Deposited: 10 Oct 2023 19:47
Last Modified: 10 Oct 2023 19:47
Item ID: 22645
Subjects: Specific Sciences > Physics > Astrophysics
Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Historical Sciences
General Issues > History of Science Case Studies
Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Date: 10 October 2023
URI: https://philsci-archive.pitt.edu/id/eprint/22645

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