Quantum-Corrected Black Holes in Higher Dimensions: From Gravitational Collapse to Remnants, WGC-Like Behavior and Accretion Signatures

We study the gravitational collapse of a homogeneous dust sphere in higher-dimensional spacetime, with the loop quantum gravity correction entered through a modified Friedmann equation. Its most striking feature is an endpoint: at a finite horizon radius the temperature vanishes and evaporation stops, leaving a remnant. Reading $\alpha$ as an effective charge, we find behavior reminiscent of the Weak Gravity Conjecture (WGC), although no $U(1)$ gauge field is present in the model. Solving the degeneracy conditions with the untruncated metric function, rather than with a mass expansion that is not uniform near the endpoint, we obtain closed-form expressions for the remnant radius and mass in $D=4,5,6,7$. The unscaled ratio $\alpha \mathrm{/}{M}_{\text{remnant}}^2$ is constant only in four dimensions and grows as ${\alpha }^{4-D}$ elsewhere, but it carries dimension $L^{8-2D}$, so that growth is an artifact of the units. The dimensionless combination $\tilde{\mathcal{R}}=(\alpha \mathrm{/}{M}^2)r_0^{2D-8}$ settles instead on a finite $\alpha$-independent number in every dimension, decreasing from $27\mathrm{/}64$ in four dimensions to $13824\mathrm{/}(15625{\pi }^4)$ in seven. We also deform the quantum parameter, $\alpha \to \alpha +\epsilon$, and evaluate $-T(\mathrm{\partial }S\mathrm{/}\mathrm{\partial }\epsilon {)}_M$ in the remnant limit. Because $(\mathrm{\partial }M\mathrm{/}\mathrm{\partial }r{)}_{\alpha }$ vanishes there, the fixed-entropy derivative reduces exactly to a fixed-radius one, and the resulting combination $\mathcal{U}$ is finite in each dimension but depends on $\epsilon$ except for $D=5$. What is invariant is the product $\mathcal{R}\mathcal{U}{M}_{\text{remnant}}=(D-3)\mathrm{/}2$, which we verify numerically. Lastly, we study Bondi accretion onto the quantum-corrected black hole and obtain the Eddington luminosity for each dimension.