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- Sphere-world abstract "The idea of a sphere-world was constructed by Henri Poincaré who, while pursuing his argument for conventionalism (see philosophy of space and time), offered a thought experiment about a sphere with strange properties.Poincaré asks us to imagine a sphere of radius R. The temperature of the sphere decreases from its maximum at the center to absolute zero at its extremity such that a body’s temperature at a distance r from the center is proportional to .In addition, all bodies have the same coefficient of dilatation so every body shrinks and expands in similar proportion as they move about the sphere. To finish the story, Poincaré states that the index of refraction will also vary with the distance r, in inverse proportion to .How will this world look to inhabitants of this sphere? In many ways it will look normal. Bodies will remain intact upon transfer from place to place, as well as seeming to remain the same size (the Spherians would shrink along with them). The geometry, on the other hand, would seem quite different. Supposing the inhabitants were to view rods believed to be rigid, or measure distance with light rays. They would find that a geodesic is not a straight line, and that the ratio of a circle’s circumference to its radius is greater than .These inhabitants would in fact determine that their universe is not ruled by Euclidean geometry, but instead by hyperbolic geometry.".
- Sphere-world wikiPageID "655183".
- Sphere-world wikiPageRevisionID "549569522".
- Sphere-world hasPhotoCollection Sphere-world.
- Sphere-world subject Category:Spheres.
- Sphere-world subject Category:Thought_experiments.
- Sphere-world type Abstraction100002137.
- Sphere-world type Act100030358.
- Sphere-world type Activity100407535.
- Sphere-world type Attribute100024264.
- Sphere-world type Environment113934596.
- Sphere-world type Event100029378.
- Sphere-world type Experiment100639556.
- Sphere-world type Investigation100633864.
- Sphere-world type PsychologicalFeature100023100.
- Sphere-world type Research100636921.
- Sphere-world type ScientificResearch100641820.
- Sphere-world type Situation113927383.
- Sphere-world type Sphere114514039.
- Sphere-world type Spheres.
- Sphere-world type State100024720.
- Sphere-world type ThoughtExperiments.
- Sphere-world type Work100575741.
- Sphere-world type YagoPermanentlyLocatedEntity.
- Sphere-world comment "The idea of a sphere-world was constructed by Henri Poincaré who, while pursuing his argument for conventionalism (see philosophy of space and time), offered a thought experiment about a sphere with strange properties.Poincaré asks us to imagine a sphere of radius R.".
- Sphere-world label "Sphere-world".
- Sphere-world sameAs m.0301f1.
- Sphere-world sameAs Q17078345.
- Sphere-world sameAs Q17078345.
- Sphere-world sameAs Sphere-world.
- Sphere-world wasDerivedFrom Sphere-world?oldid=549569522.
- Sphere-world isPrimaryTopicOf Sphere-world.