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My question involves a modification of Newton's bucket experiment. If a sphere filled (say) one-third or one-half with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? Might this offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? (Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented character of Newton’s experiment.) I'm trying to arrive at a historically plausible 18th-century version of 3-d "gluing" in order to visualize William Blake's Mundane Shell, which Bronowski dimly recognized as a 4-d sphere or torus (he wasn't sure which) in 1942.

My question involves a modification of Newton's bucket experiment. If a sphere filled (say) one-third or one-half with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? Might this offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? (Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented character of Newton’s experiment.) I'm trying to arrive at a historically plausible 18th-century version of 3-d "gluing" in order to visualize William Blake's Mundane Shell, which Bronowski dimly recognized as a 4-d sphere or torus (he wasn't sure which) in 1942.

My question is about Newton's bucket experiment. If a sphere filled (say) one-third with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? If the sheets of water meeting at the top would collide and so drip down toward the middle (if only for an instant), then does this phenomenon offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented character of Newton’s experiment. I'm trying to visualize William Blake's Mundane Shell, which Bronowski first half-recognized as a 4-d sphere in 1942.

My question involves a modification of Newton's bucket experiment. If a sphere filled (say) one-third or one-half with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? Might this offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? (Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented character of Newton’s experiment.) I'm trying to arrive at a historically plausible 18th-century version of 3-d "gluing" in order to visualize William Blake's Mundane Shell, which Bronowski dimly recognized as a 4-d sphere or torus (he wasn't sure which) in 1942.

My question is about Newton's bucket experiment. If a sphere filled (say) one-third with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? If the sheets of water meeting at the top would collide and so drip down toward the middle (if only for an instant), then does this phenomenon offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented nature of Newton’s experiment. I'm trying to visualize William Blake's Mundane Shell, which Bronowski first half-recognized as a 3-sphere in 1942.

My question is about Newton's bucket experiment. If a sphere filled (say) one-third with water is rotated very very fast, will the water eventually spread out across and coat the entire interior surface of the sphere? If so, then does this mean that the sphere's inside is coated with water whose inertial force is everywhere at right angles to the surface? If the sheets of water meeting at the top would collide and so drip down toward the middle (if only for an instant), then does this phenomenon offer a primitive mechanical model for the topological "gluing" of two ordinary 3-dimensional spheres, especially when the gluing is imagined according to the method of progressive longitudinal "slices"? Unless it is better to imagine the two 3-d spheres “put through” each other, in keeping with the mechanical, force-oriented character of Newton’s experiment. I'm trying to visualize William Blake's Mundane Shell, which Bronowski first half-recognized as a 4-d sphere in 1942.