scholarly journals Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations

2001 ◽  
Vol 64 (6) ◽  
Author(s):  
Lawrence E. Kidder ◽  
Mark A. Scheel ◽  
Saul A. Teukolsky
Keyword(s):  
Black Hole ◽  
Hyperbolic System ◽  
Evolution Equations ◽  
3D Black Hole

scholarly journals Ontology in Quantum Mechanics

2021 ◽  
Author(s):  
Gerard ’t Hooft
Keyword(s):  
Hilbert Space ◽  
General Relativity ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Evolution Equations ◽  
Black Hole Physics ◽  
Special Kind ◽  
Quantum Evolution ◽  
The Standard Model ◽  
Low Energies

It is suspected that the quantum evolution equations describing the micro-world as we know it are of a special kind that allows transformations to a special set of basis states in Hilbert space, such that, in this basis, the evolution is given by elements of the permutation group. This would restore an ontological interpretation. It is shown how, at low energies per particle degree of freedom, almost any quantum system allows for such a transformation. This contradicts Bell’s theorem, and we emphasise why some of the assumptions made by Bell to prove his theorem cannot hold for the models studied here. We speculate how an approach of this kind may become helpful in isolating the most likely version of the Standard Model, combined with General Relativity. A link is suggested with black hole physics.

scholarly journals Entropy of Reissner–Nordström 3D Black Hole in Roegenian Economics

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 509
Author(s):  
Constantin Udriste ◽  
Massimiliano Ferrara ◽  
Ionel Tevy ◽  
Dorel Zugravescu ◽  
Florin Munteanu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
National Income ◽  
Political Stability ◽  
Rindler Coordinates ◽  
Total Investment ◽  
The Subject ◽  
3D Black Hole

The subject of this paper is to analyse the Mathematical Principia of Economic 3D Black Holes in Roegenian economics. In detail, we study two main problems: (i) mathematical origin of economic 3D black holes; and (ii) entropy and internal political stability depending on national income and the total investment, for economic Reissner–Nordström (RN) 3D black hole. To solve these problems, it was necessary to jump from macroeconomic side to microeconomic side (a substantial approach as they are so different), to complete the thermodynamics–economics dictionary with new entities, and to introduce the flow between two macroeconomic systems. The main contribution is about introducing and studying the Schwarzschild-type metric on an economic 4D system, together with Rindler coordinates, Einstein 4D partial differential equations (PDEs), and economic RN 3D black holes. In addition, we introduce some economic Ricci type flows or waves, for further research.

scholarly journals The Carter constant for inclined orbits about a massive Kerr black hole: near-circular, near-polar orbits

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Peter Komorowski ◽  
Sree Valluri ◽  
Martin Houde
Keyword(s):  
Black Hole ◽  
Evolution Equations ◽  
Kerr Black Hole ◽  
Reaction Model ◽  
Back Reaction ◽  
Kerr Spacetime ◽  
System A ◽  
Binary Black Hole ◽  
Maximum Value ◽  
Published Result

AbstractIn an extreme mass-ratio binary black hole system, a non-equatorial orbit will list (i.e. increase its angle of inclination, i) as it evolves in Kerr spacetime. The abutment, a set of evolving, near-polar, retrograde orbits, for which the instantaneous Carter constant (Q) is at its maximum value (Q X) for given values of latus rectum (l̃) and eccentricity (e), has been introduced as a laboratory in which the consistency of dQ/dt with corresponding evolution equations for d l̃/dt and de/dt might be tested independently of a specific radiation back-reaction model. To demonstrate the use of the abutment as such a laboratory, a derivation of dQ/dt, based only on published formulae for d l̃/dt and de/dt, was performed for elliptical orbits on the abutment. The resulting expression for dQ/dt matched the published result to the second order in e. We believe the abutment is a potentially useful tool for improving the accuracy of evolution equations to higher orders of e and l̃−.

scholarly journals Entropy of Reissner-Nordström 3D Hole in Roegenian Economics

2019 ◽  
Author(s):  
Constantin Udriste ◽  
Massimiliano Ferrara ◽  
Ionel Tevy ◽  
Dorel Zugravescu ◽  
Florin Munteanu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
National Income ◽  
Political Stability ◽  
Related Literature ◽  
Metric Properties ◽  
Rindler Coordinates ◽  
Total Investment ◽  
The Subject ◽  
3D Black Hole

The subject of this paper is to analyse the Math Principia of Economic 3D Black Holes in Roegenian economics. This idea is totally new in the related literature, excepting our papers. In details, we study two special problems: (i) math origin of economic 3D black holes, (ii) entropy and internal political stability depending on national income and the total investment, for economic RN 3D black hole. To solve these problems, it was necessary to jump from macroeconomic side to microeconomic side (a substantial approach so different), to complete the thermodynamics-economics dictionary with new entities, to introduce the flow between two macroeconomic systems, to study the Schwarzschild type metric properties on an economic 4D system, together with Rindler coordinates, Einstein 4D PDEs, and economic RN 3D black hole. In addition, we introduce some economic Ricci type flows or waves, for further research.

On time evolution of force-free magnetospheres around a slowly rotating compact object

2021 ◽  
Vol 23 (1) ◽  
pp. 1-7
Author(s):  
F.J. Fattoyev ◽  
P.S. Tadjimuratov ◽  
N.B. Juraeva
Keyword(s):  
Black Hole ◽  
Maxwell Equations ◽  
Evolution Equations ◽  
Compact Object ◽  
Slow Rotation ◽  
Extraction Mechanism ◽  
Rotating Black Hole ◽  
Stability Structure ◽  
The Stability ◽  
Relativistic Magnetohydrodynamics

This paper reformulates the stability structure of force-free magnetosphere of a rotating black hole discussed in paper [1]. We do some corrections in the main equations of relativistic magnetohydrodynamics written by this author. It is shown that in a regime of slow rotation, evolution equations (18)-(20) and Maxwell equations (B6), (B7), and (B13) of paper [1] were not written correctly. Although there is a large number of typos in the equations given by [1], our calculations show this does not violate the stability structure of force-free magnetosphere which in its turn means that the energy extraction mechanism via surrounding, stable forcefree magnetosphere of a rotating black hole immersed in magnetic field can exist.

scholarly journals $O(\bar{d}, \bar{d})$ TRANSFORMATIONS AND 3D BLACK HOLE

1993 ◽  
Vol 08 (22) ◽  
pp. 2045-2052 ◽  
Author(s):  
ABBAS ALI ◽  
ALOK KUMAR
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
String Theory ◽  
Black Hole Solution ◽  
Three Dimensional ◽  
Black String ◽  
Rotating Black Hole ◽  
3D Black Hole

We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through [Formula: see text] transformations. The results are applied to a rotating black hole solution of three-dimensional general relativity discussed recently. We extend the black hole solution to string theory and show its connection with the three-dimensional black string with nonzero momentum through an [Formula: see text] transformation of the above type.

scholarly journals STABILITY OF 3D BLACK HOLE WITH TORSION

2007 ◽  
Vol 22 (40) ◽  
pp. 3047-3055 ◽  
Author(s):  
B. CVETKOVIĆ ◽  
M. BLAGOJEVIĆ
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Three Dimensional ◽  
Extremal Black Hole ◽  
De Sitter ◽  
Zero Energy ◽  
Supersymmetric Extension ◽  
Supersymmetry Algebra ◽  
Dimensional Gravity ◽  
3D Black Hole

Using N = 1+1 supersymmetric extension of the three-dimensional gravity with torsion, we show that a generic black hole has no exact supersymmetries, the extremal black hole has only one, while the zero-energy black hole has two. Combining these results with the asymptotic supersymmetry algebra, we are naturally led to interpret the zero-energy black hole as the ground state of the Ramond sector, and analogously, the anti-de Sitter solution as the ground state of the Neveu–Schwarz sector.

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