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Gravity is the weakest of the four fundamental forces of physics. The standard gravity theory is Newton's law of universal gravitation and general theory of relativity (proposed by Albert Einstein in 1915, and David Hilbert, and others). Alternative formulations include string theory, entanglement and others.
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Inverse square-law as a positive definite kernel?
The answer to this question, can be given a meaning with the Schoenberg criterion from which the following explanation is borrowed:
The function $\Psi \colon X \times X \to \mathbb{R}$ is said to be a …
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Accepted
Mach's principle, Newton's law and Hilbert sphere?
I will try to answer my own question, and allow me to change a little bit the notation and meaning, since it was not so difficult as first thought, it was.
First let us look at the situation where two …