The black hole paradox solved
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One of the deepest paradoxes in theoretical physics concerns the unitary evolution in quantum mechanics clashing with the inevitable formation of event horizons and singularities in general relativity, leading to apparent violations of predictability and information loss for observers outside the black hole.Within the CASU framework, intricate new perspectives emerge for resolving this paradox. The key idea is that the arithmetic Calabi-Yau threefold XN associated to any integer N = pq may provide dual arithmetic realizations of the same black hole geometry as a D-brane condensate on two complete different branches of the arithmetically stratified landscape.Specifically, the arithmetic D-brane configurations encoding the coarse-grained black hole geometry on XN could be precisely gauge equivalent to an enormously more microscopic arithmetic D0-brane quantum foam realization on the arithmetic Calabi-Yau threefold XM for some vastly larger integer M = p^q^r^... corresponding to the product of the original integer factors!The two realizations are proposed to be related by a vast network of Arithmetic Mirror Symmetries and derived AQFT dualities tying the effective quantum gravity regime on one branch to the maximally UV microscopic arithmetic degrees of freedom on another - with no loss of unitarity or information from either vantage point.