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The QCD Bag model is used to show that, on the grounds of some gravitational arguments, a proton seems to behave like a microscopic black hole, with de Sitter spacetime as the inner geometry and a regular Schwarzschild spacetime outside it [1]. The basic idea is to assume that, for masses $m$ smaller than the Planck mass, the Newton constant $G_{N}$ may be given by $G_{s} = \hbar c/m^{2}$, where $m$ is the mass of the physical system under consideration, $s$ subscript means ‘’strong’’, $c$ is the velocity of light and $\hbar$ stays for the Planck constant.
If $m$ represents the Higgs mass $m_{H} \approx 125 GeV/c^{2}$, we get $G_{s} = \hbar c/m_{H}^{2} = 10^{27}$ in CGS units, the same value obtained by Onofrio [2], who considers weak interactions as short distance manifestation of gravity.
One is also shown that, due to the proposed strong gravity in microphysics, the quantum cosmological constant (related to the vacuum energy density) and the classical one (resulting from Cosmology) are directly related.
References:
1.H. Culetu, , Int. J. Theor. Phys. 54, 2855 (2015).
2.R. Onofrio, Mod. Phys. Lett. A 28, 1350022 (2013).
