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We conjecture (analytically) and demonstrate (numerically) the existence of a fine structure above the power-law behavior of the mass of black holes that form in the gravitational collapse of a spherical massless scalar field. The fine structure is a periodic function of the critical separation (p-p^*). We predict that the period is universal and that it depends on the previous universal parameters, the critical exponent, and the echoing period as =/ (2).
Hod et al. (Wed,) studied this question.
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