This paper attempts to clarify the deep consequences of Barrow fractal black
hole spacetime configurations caused by quantum gravity on neutrino pair
annihilation and accretion disk dynamics. We systematically derive the
analytical expression for the innermost stable circular orbit (ISCO) radius
($r_{\text{ISCO}}\propto M^{2/(2+\Delta)}$) by building a Barrow-modified
static spherically symmetric metric ($r\rightarrow r^{1+\Delta/2}$), and we
find that increasing $\Delta$ significantly shifts the ISCO inward. Nous
numerically solve the radiation flux, effective temperature, and differential
luminosity distribution under the modified metric based on the Novikov-Thorne
relativistic thin accretion disk model. For $\Delta=1$, the results show that
the temperature increases by $62.5\%$, the peak disk radiation flux increases
by $22.5\%$, and the spectral radiance increases by around $50\%$. Fractal
horizons enhance neutrino trajectory bending effects, according to further
study of neutrino pair annihilation ($\nu\bar{\nu}\rightarrow e^+e^-$) energy
deposition processes using local Lorentz transformations and null geodesic
equations. The energy deposition rate for $\Delta=1$ is $8-28$ times higher
than classical estimates when the black hole radius is $R/M\sim3-4$. This work
provides important theoretical insights into the influence of quantum spacetime
geometry on high-energy astrophysical phenomena in extreme gravitational fields
by establishing, for the first time, quantitative relationships between the
Barrow parameter $\Delta$ and neutrino pair annihilation energy and accretion
disk radiative efficiency.

Cet article explore les excursions dans le temps et leurs implications.

Télécharger PDF: