The Charge of Electron, Weak Gravity Conjecture and Black Hole Evolution

Abstract

This is just the square root of the fine structure constant, i.e. g = √ α = qe/q Pl .

The renormalized charged scalar current in the Reissner-Nordström-de Sitter spacetime

“…From numerical computations, it turns out that this expression is already finite in the limit → 0. This is further confirmed by the calculation of the second term in (14), in the combination relevant for the current, which must also be, and indeed is, finite.…”

“…The sum in (31) does not converge in general, but for the application in the Hadamard point-split (14), only a finite number of terms is relevant (whose number depends on the number of derivatives in the field monomial, i.e., |α| and |β|). From the requirement that application of D ν D ν − µ 2 yields a smooth function, one derives the transport equations…”

“…The discharge of charged BHs by Hawking radiation or pair creation due to the electromagnetic background field has already been anticipated by Hawking himself in his seminal work [1]. This effect has been studied further for example by [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. These works typically focus on the discharge in the exterior region and, as far as quantitative results are concerned, on large field masses and charges.…”

How Not to Extract Information From Black Holes: Cosmic Censorship as a Guiding Principle

“…Note that as emphasized in [36,38,39] 7 , the fact that charged black holes never become extremal in this model is not only consistent with the third law of black hole thermodynamics, it is also an evidence for the validity of the cosmic censorship -if a black hole becomes extremal, a perturbation may destroy the horizon and renders the singularity naked (though whether such perturbations exist remains unclear). The role of the third law in upholding the cosmic censorship was already pointed out by Davies in 1977 [40].…”

Characterising the Most Rapidly Rotating AdS$_5$-Kerr Black Holes

“…From this point of view, "quantum Censorship" is some general principle, as yet not precisely formulated, which extends classical Censorship and identifies spacetimes which are inconsistent when one attempts to embed them in a more complete quantum theory [10,11]. This approach links Censorship to other recent developments in quantum gravity (see for example [12,13], and also to work on the evolution of black holes under Hawking evaporation; there it appears that black holes can evolve in unexpected ways, which nevertheless seem always to respect Censorship [14][15][16][17].…”