This is essentially a soft question.
We know the world is a sphere, following spherical geometry, yet at local levels, we can observe euclidian geometry. This brings me to my question,
Does non-Euclidian geometries induce euclidian geometry locally?
This is essentially a soft question.
We know the world is a sphere, following spherical geometry, yet at local levels, we can observe euclidian geometry. This brings me to my question,
Does non-Euclidian geometries induce euclidian geometry locally?
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I'm not sure that I'd say non-Euclidean geometries induce Euclidean geometry locally, but I'm not a geometer. The key idea behind what you observe regarding spheres is that any manifold (like a sphere) is locally homeomorphic to Euclidean space.