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In this paper we obtain the Wedderburn-Artin decomposition of a semisimple group algebra associated to a direct product of finite groups. We also provide formulae for the number of all possible group codes, and their dimensions, that can be construct
Externí odkaz:
http://arxiv.org/abs/2412.09695
This study investigates the formation of primordial black holes (PBHs) resulting from the collapse of adiabatic fluctuations with large amplitudes and non-Gaussianity. Ref. \cite{Uehara:2024yyp} showed that fluctuations with large amplitudes lead to
Externí odkaz:
http://arxiv.org/abs/2411.07648
Autor:
Escrivà, Albert, Yoo, Chul-Moon
In this letter, we investigate the impact of non-spherical effects on the Primordial Black Hole mass function, based on the ellipticity-dependent threshold calculated by performing $3+1$ relativistic numerical simulations. We consider an equation of
Externí odkaz:
http://arxiv.org/abs/2410.03451
Autor:
Escrivà, Albert, Yoo, Chul-Moon
We perform $3+1$ relativistic numerical simulations to study primordial black hole (PBH) formation from the collapse of adiabatic super-horizon non-spherical perturbations generated from curvature fluctuations obeying random Gaussian statistics with
Externí odkaz:
http://arxiv.org/abs/2410.03452
Supposing the Laser Interferometer Space Antenna (LISA) gravitational wave (GW) detector, we exhibit the detectability of a hypothetical smooth crossover in the early universe beyond the Standard Model of particle physics through the scalar-induced g
Externí odkaz:
http://arxiv.org/abs/2404.12591
We propose a mechanism of electroweak baryogenesis based on the Standard Model and explaining the coincidence between the baryon and Dark Matter (DM) densities. Large curvature fluctuations slightly below the threshold for Primordial Black Hole (PBH)
Externí odkaz:
http://arxiv.org/abs/2401.09408
This study investigates the formation of type II primordial black holes (PBHs) resulting from extremely large amplitudes of initial fluctuations in a radiation-dominated universe. We find that, for a sufficiently large initial amplitude, the configur
Externí odkaz:
http://arxiv.org/abs/2401.06329
Primordial Black Holes and Induced Gravitational Waves from a Smooth Crossover beyond Standard Model
Gravitational waves (GWs) induced by primordial fluctuations can be affected by the modification of the sound speed $c^2_{\rm s}$ and the equation of state parameter $w$ once the curvature fluctuations reenter the cosmological horizon. That softening
Externí odkaz:
http://arxiv.org/abs/2311.17760
Given a finite field F_q and a positive integer n, a flag is a sequence of nested F_q-subspaces of a vector space F_q^n and a flag code is a nonempty collection of flags. The projected codes of a flag code are the constant dimension codes containing
Externí odkaz:
http://arxiv.org/abs/2311.06060
Autor:
Escrivà, Albert, Yoo, Chul-Moon
Publikováno v:
JCAP04(2024)048
We consider the formation of primordial black holes (PBHs), during the radiation-dominated Universe, generated from the collapse of super-horizon curvature fluctuations that are overlapped with others on larger scales. Using a set of different curvat
Externí odkaz:
http://arxiv.org/abs/2310.16482