Submissions from M. A. Sadik-Moghaddam

[1]  faKiv:2405.08434 [pdf]
A Tale of Two Differential Operators
Comments: 31 pages

We study the Fourier transform of the two differential operators in the non-relativistic case in the presence of the Bunch-Davies term. It is shown that in the torsion-free case the two differential operators are the same. We also show that in the conservation case the two differential operators are different. We then describe the Fourier transform of the two differential operators in the relativistic case and show that the two differential operators are the same.

[2]  faKiv:2405.08519 [pdf]
Quantum vortices in a black hole
Comments: 7 pages, 7 figures

In this paper we discuss the quantum vortices in a black hole. We analyze the effect of the presence of an internal magnetic field on the quantum vortices. We find that the vortices in a black hole are governed by the effects of the internal magnetic field. We find that the effect of the anisotropic external magnetic field has a stronger effect in the vicinity of the black holes than the effect of the external magnetic field. In order to obtain the black hole behavior, we use the Einstein-Maxwell-Higgs theory in the vicinity of the black holes.

[3]  faKiv:2405.08527 [pdf]
Holography and holographic dualities
Comments: 24 pages, 9 figures, v2: references added; v3: new table and references, to appear in PRD

We study holographic dualities between two-dimensional quantum chaotic systems. We first identify a class of dualities based on the relaxation of the entanglement entropy of the St\"uckelberg waveform, and discuss their properties. When the entanglement entropy is fully relaxed, the boundary state is said to be a holographic duality. We then argue that a class of dualities can be solved simply by finding the boundary states of the holographic duals. We show that a class of such dualities can be solved by rearranging the entanglement entropy. We explain how this is done by using an example of the holographic duality between two-dimensional quantum chaos. We then show that a class of dualities between two-dimensional quantum chaos can be solved by the determination of the partition function of the holographic duals. We argue that a class of such dualities can be solved by the partition function of the holographic duals.

[4]  faKiv:2405.08583 [pdf]
From noncommutativity to equivariant geometry
Comments: 23 pages, v2:references and references added

We construct a class of equivariant geometries in which noncommutativity is not preserved but it is preserved only in the form of a noncommutative relation between the noncommutative geometries. The equivariant geometry is generated by statistical mechanics, and it is shown that the equivariant geometries are stable in the thermodynamic limit, with the exception of a classical one in which the thermalization energy saturates the thermal energy of the equivariant geometry. In this way we obtain an equivariant class of noncommutative equivariant geometries.

[5]  faKiv:2405.08832 [pdf]
A note on the effects of a baryon acoustic oscillation on the quantum chromodynamics of a black hole
Comments: 12 pages, 2 figures, references added, typos corrected

In this note, we investigate the effects of a baryon acoustic oscillation in a black hole. We investigate the effect of the baryon oscillation on the dynamic behavior of the black hole, and calculate the classical and quantum corrections. For the classical correction, the results for the black hole are compared with those of the corresponding results for the baryon acoustic oscillation. For the quantum correction, the results for the black hole are compared with those of the corresponding results for the baryon acoustic oscillation. In addition, we study the effects of a baryon acoustic oscillation on the effect of the phase transition. In the physical regime of the black hole, the effects of a baryon acoustic oscillation on the quantum chromodynamics of the black hole is studied. The results are compared with those of the corresponding results for the baryon acoustic oscillation.

[6]  faKiv:2405.08877 [pdf]
Two-dimensional zero-temperature superconductivity in the presence of charged gluons
Comments: 12 pages, 2 figures, v2: reference added

We study the zero-temperature zero-temperature superconductivity of two-dimensional matter in the presence of charged gluons. We analyze the charge-pumping effect of the gluons to determine the number of charged gluons, while calculating the capacitance of the gluons. We find that the charge-pumping effect of the gluons has a negative effect on the number of gluons in the zero-temperature zero-temperature superconductivity. We also find the physical consequence of the zero-temperature zero-temperature superconductivity. We find that there are two types of zero-temperature zero-temperature zero-temperature zero-temperature zero-temperature zero-temperature superconductivity in the presence of charged gluons.