Can a Perfect Sphere Survive a Black Hole?

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A perfectly spherical object, if it existed at an atomic level of uniformity, raises questions about its ability to withstand the extreme conditions near a black hole. Theoretically, such a sphere could resist infinite pressure due to its lack of weak points. However, the effects of tidal forces, which are not uniformly directed, could still pose a risk to its structural integrity. Additionally, the sphere's ability to reflect all light could render it invisible, complicating observations. Ultimately, while the concept is intriguing, the practical implications of such a sphere's existence in a black hole's environment remain speculative.
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Suppose a perfectly spherical sphere were to exist - Pefectly uniform even at the atomic level. Then hypothetically, could this sphere withstand infinite pressure and so travel into a black hole without being destroyed?

There would be no 'weak points' on a perfect sphere causing it to break under the pressure, right?

Also, would this sphere reflect all light and so become invisible?
 
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What about tidal forces? Remember, the forces acting on the sphere will not be directed to the center of the sphere.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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