Tochtli Yépez-Mart́ınez, ∗ Peter O. Hess, † and Osvaldo Civitarese ‡ Instituto de Educación Media... more Tochtli Yépez-Mart́ınez, ∗ Peter O. Hess, † and Osvaldo Civitarese ‡ Instituto de Educación Media Superior de la Ciudad de México, Plantel Benito Juárez, Av. Zacatlán, esq. Cempasúchil S/N. Pueblo de San Lorenzo Tezonco, C.P. 09790, Alcald́ıa Iztapalapa. Ciudad de México, México. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad Universitaria, Circuito Exterior S/N, A.P. 70-543, 04510 M ́exico D.F. Mexico. and Frankfurt Institute for Advanced Studies, J. W. von Goethe University, Hessen, Germany 3 Departamento de F́ısica, Universidad Nacional de La Plata, C.C. 67 (1900), La Plata, Argentina. (Dated: September 1, 2021)
The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the mo... more The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physics, in particular cluster models. Sometimes they tend to ignore the Pauli Exclusion Principle for practical reasons, leading to flawed interpretations. Though at first sight there seems to be an agreement to experiment, often it is due to the limited number of states known experimentally. We discuss several models which include or not the PEP, illustrating through their differences the importance of the PEP. This contribution is also a review of recently published results.
The Kerr black hole is studied within a modified theory of gravity, which adds the effects of vac... more The Kerr black hole is studied within a modified theory of gravity, which adds the effects of vacuum fluctuations near a black hole. These vacuum fluctuations are treated as a dark energy. A parameter is introduced to account for these fluctuations. It is zero for the standard theory and acquires a maximal value, just before there would be no event horizon. The existence of an event horizon not only depends on the value of this parameter, but also on the spin of the black hole. In addition, we study the existence of a light-ring. We also elaborate on the relation of the appearance and vanishing of the event horizon and light-ring to phase transitions.
We present a generalized variational procedure oriented to the algebraic solution of many-body Ha... more We present a generalized variational procedure oriented to the algebraic solution of many-body Hamiltonians expressed in bosonic and fermionic variables. The method specializes in the nonperturbative regime of the solutions. As an example, we focus on the application of the method to nonperturbative QCD.
A review will be presented on the algebraic extension of the standard Theory of Relativity (GR) t... more A review will be presented on the algebraic extension of the standard Theory of Relativity (GR) to the pseudocomplex formulation (pc-GR). The pc-GR predicts the existence of a dark energy outside and inside the mass distribution, corresponding to a modification of the GR-metric. The structure of the emission profile of an accretion disc changes also inside a star. Discussed are the consequences of the dark energy for cosmological models, permitting different outcomes on the evolution of the universe.
The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a ... more The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a previous work. The numerical calculations were then restricted to a particle–hole (ph) space and the comparison with experimental data was reasonable in spite of the complexity of the QCD spectrum at low energy. Here on, we continue along this line of research and show our new results of the treatment of the QCD Hamiltonian in the SO(4) representation, including ground state correlations by means of the Random Phase Approximation (RPA). We are able to identify, within this model, states which may be associated to physical pseudo-scalar and vector mesons, like [Formula: see text], as well as the pion ([Formula: see text]).
Tochtli Yépez-Mart́ınez, ∗ Peter O. Hess, † and Osvaldo Civitarese ‡ Instituto de Educación Media... more Tochtli Yépez-Mart́ınez, ∗ Peter O. Hess, † and Osvaldo Civitarese ‡ Instituto de Educación Media Superior de la Ciudad de México, Plantel Benito Juárez, Av. Zacatlán, esq. Cempasúchil S/N. Pueblo de San Lorenzo Tezonco, C.P. 09790, Alcald́ıa Iztapalapa. Ciudad de México, México. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad Universitaria, Circuito Exterior S/N, A.P. 70-543, 04510 M ́exico D.F. Mexico. and Frankfurt Institute for Advanced Studies, J. W. von Goethe University, Hessen, Germany 3 Departamento de F́ısica, Universidad Nacional de La Plata, C.C. 67 (1900), La Plata, Argentina. (Dated: September 1, 2021)
The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the mo... more The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physics, in particular cluster models. Sometimes they tend to ignore the Pauli Exclusion Principle for practical reasons, leading to flawed interpretations. Though at first sight there seems to be an agreement to experiment, often it is due to the limited number of states known experimentally. We discuss several models which include or not the PEP, illustrating through their differences the importance of the PEP. This contribution is also a review of recently published results.
The Kerr black hole is studied within a modified theory of gravity, which adds the effects of vac... more The Kerr black hole is studied within a modified theory of gravity, which adds the effects of vacuum fluctuations near a black hole. These vacuum fluctuations are treated as a dark energy. A parameter is introduced to account for these fluctuations. It is zero for the standard theory and acquires a maximal value, just before there would be no event horizon. The existence of an event horizon not only depends on the value of this parameter, but also on the spin of the black hole. In addition, we study the existence of a light-ring. We also elaborate on the relation of the appearance and vanishing of the event horizon and light-ring to phase transitions.
We present a generalized variational procedure oriented to the algebraic solution of many-body Ha... more We present a generalized variational procedure oriented to the algebraic solution of many-body Hamiltonians expressed in bosonic and fermionic variables. The method specializes in the nonperturbative regime of the solutions. As an example, we focus on the application of the method to nonperturbative QCD.
A review will be presented on the algebraic extension of the standard Theory of Relativity (GR) t... more A review will be presented on the algebraic extension of the standard Theory of Relativity (GR) to the pseudocomplex formulation (pc-GR). The pc-GR predicts the existence of a dark energy outside and inside the mass distribution, corresponding to a modification of the GR-metric. The structure of the emission profile of an accretion disc changes also inside a star. Discussed are the consequences of the dark energy for cosmological models, permitting different outcomes on the evolution of the universe.
The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a ... more The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a previous work. The numerical calculations were then restricted to a particle–hole (ph) space and the comparison with experimental data was reasonable in spite of the complexity of the QCD spectrum at low energy. Here on, we continue along this line of research and show our new results of the treatment of the QCD Hamiltonian in the SO(4) representation, including ground state correlations by means of the Random Phase Approximation (RPA). We are able to identify, within this model, states which may be associated to physical pseudo-scalar and vector mesons, like [Formula: see text], as well as the pion ([Formula: see text]).
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