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The ratio (Formula presented) for physical particles can be estimated using mks units once one reintroduces the conventional values of (Formula presented) and (Formula presented) One then has (Formula presented) which is approximately equal to (Formula presented) for an electron (Formula presented) and (Formula presented)) and to (Formula presented) for a particle of the same charge but of Planck mass. This implies that our approximation ((Formula presented) small) does not apply to most known elementary particles, but can be valid for black holes produced during the gravitational collapse of massive stars and also for cosmological black holes of Planck mass size. On the other hand, the opposite approximation ((Formula presented) large) corresponds to a naked singularity
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The ratio (Formula presented) for physical particles can be estimated using mks units once one reintroduces the conventional values of (Formula presented) and (Formula presented) One then has (Formula presented) which is approximately equal to (Formula presented) for an electron (Formula presented) and (Formula presented)) and to (Formula presented) for a particle of the same charge but of Planck mass. This implies that our approximation ((Formula presented) small) does not apply to most known elementary particles, but can be valid for black holes produced during the gravitational collapse of massive stars and also for cosmological black holes of Planck mass size. On the other hand, the opposite approximation ((Formula presented) large) corresponds to a naked singularity.
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