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A theory of quantum gravity, which aims to merge quantum mechanics and general relativity, postulating that the structure of space is composed of finite loops woven into an extremely fine fabric or network.
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How do we explicitly prove that the induced covariant derivative on non-expanding horizons (...
First, "$D_k = E^\mu_k\nabla_\mu$" is not quite correct. Just pulling back the index of the derivative operator is not enough, you need to pull back the indices of the tensor it operates on. For examp …