scholarly journals Quantum entanglement produced in the formation of a black hole

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
Luis J. Garay ◽  
Juan León
Keyword(s):  
Black Hole ◽  
Quantum Entanglement

More on extracting information about the initial state from the black hole radiation

2018 ◽  
Vol 33 (19) ◽  
pp. 1850108
Author(s):  
Hossein Ghaforyan ◽  
Somayyeh Shoorvazi ◽  
Alireza Sepehri ◽  
Tooraj Ghaffary
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Density Matrix ◽  
Quantum Entanglement ◽  
Event Horizon ◽  
Initial State ◽  
Black Hole Radiation ◽  
Total Information ◽  
Quantum Treatment ◽  
Collapse Process

Recently, some authors showed that a classical collapse scenario ignores this richness of information in the resulting spectrum and a consistent quantum treatment of the entire collapse process might allow us to retrieve much more information from the spectrum of the final radiation. We confirm these results and show that by considering the quantum entanglement between metrics, we can uncover information of black holes. In our model, a density matrix is defined for the spaces, both inside and outside of the event horizon. These inside and outside spaces of black holes are obtained by tracing from a bigger space. An observer that lives in this big space can recover total information regarding the inside and outside of black hole.

Quantum entanglement of Dirac field in background of an asymptotically flat static black hole

2010 ◽  
Vol 10 (11&12) ◽  
pp. 947-955
Author(s):  
Jieci Wang ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing
Keyword(s):  
Black Hole ◽  
Mutual Information ◽  
Quantum Entanglement ◽  
Hawking Temperature ◽  
Universal Property ◽  
Dirac Field ◽  
Initial Value ◽  
Asymptotically Flat ◽  
Static Black Hole ◽  
Bosonic Case

The entanglement of the Dirac field in the asymptotically flat black hole is investigated. Unlike the bosonic case in which the initial entanglement vanishes in the limit of infinite Hawking temperature, in this case the entanglement achieves a nonvanishing minimum values, which shows that the entanglement is never completely destroyed when black hole evaporates completely. Another interesting result is that the mutual information in this limit equals to just half of its own initial value, which may be an universal property for any fields.

scholarly journals Unveiling quantum entanglement degradation near a Schwarzschild black hole

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
Luis J. Garay ◽  
Juan León
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Schwarzschild Black Hole

scholarly journals Topological Assessment of Entangled Particles on Black Hole Horizons

2018 ◽  
Author(s):  
Arturo Tozzi ◽  
James F. Peters
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Mathematical Description ◽  
Three Dimensional ◽  
Holographic Principle ◽  
One Dimension ◽  
Dimensional Manifold ◽  
Negative Mass ◽  
Dimensional Spacetime ◽  
Ulam Theorem

The entangled antipodal points on black hole surfaces, recently described by t’Hooft, display an unnoticed relationship with the Borsuk-Ulam theorem.  Taking into account this observation and other recent claims, suggesting that quantum entanglement takes place on the antipodal points of a S3 hypersphere, a novel framework can be developed, based on algebraic topological issues: a feature encompassed in an S2 unentangled state gives rise, when projected one dimension higher, to two entangled particles.  This allows us to achieve a mathematical description of the holographic principle occurring in S2.  Furthermore, our observations let us to hypothesize that a) quantum entanglement might occur in a four-dimensional spacetime, while disentanglement might be achieved on a motionless, three-dimensional manifold; b) a negative mass might exist on the surface of a black hole.

scholarly journals Topology of Black Holes’ Horizons

2019 ◽  
Vol 3 (2) ◽  
pp. 58
Author(s):  
Arturo Tozzi ◽  
James F Peters
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Algebraic Topology ◽  
Three Dimensional ◽  
One Dimension ◽  
Dimensional Manifold ◽  
Negative Mass ◽  
Dimensional Spacetime ◽  
Ulam Theorem ◽  
Topological Framework

The Möbius strip spacetime topology and the entangled antipodal points on black hole surfaces, recently described by ‘t Hooft, display an unnoticed relationship with the Borsuk-Ulam theorem from algebraic topology.  Considering this observation and other recent claims which suggest that quantum entanglement takes place on the antipodal points of a S3 hypersphere, a novel topological framework can be developed: a feature encompassed in an S2 unentangled state gives rise, when projected one dimension higher, to two entangled particles.  This allows us to achieve a mathematical description of the holographic principle occurring in S2.  Furthermore, our observations let us to hypothesize that a) quantum entanglement might occur in a four-dimensional spacetime, while disentanglement might be achieved on a motionless, three-dimensional manifold; b) a negative mass might exist on the surface of a black hole.

scholarly journals Timeless State of Gravity: Possible Solution for Cosmological Constant problem

2020 ◽  
Author(s):  
Ahmed Farag Ali
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Quantum Entanglement ◽  
Geometric Interpretation ◽  
Red Shift ◽  
Global Symmetry ◽  
Inertial Frames ◽  
The Universe ◽  
Higgs Scalar ◽  
Internal Symmetries

We study a localization of gravity through the matching point between non-inertial frames and local inertial frames. This localization of gravity is done through defining relative gravitational red-shift. This lead to an emergence of a timeless state in a mathematically consistent way. In this timeless state of gravity, we find a geometric interpretation of the speed of light and mass. The experimental support of the timeless state is the quantum entanglement and internal symmetries that are independent of time. Therefore gravity would be responsible for measurements independent of time including quantum entanglement. Based on the Gravity/Gauge equivalence in the timeless state, we conjecture that the universe emerged from a black hole with a global $SU(3)\times SU(2)\times U(1)$ symmetry on its event horizon that produces gauge fields Electromagnetism, weak and strong nuclear force through localization of this global symmetry. Through the localization in the gravity field, the timeless measurements such as spin will be correlated with the varying of timeless measurement which is relative gravitational red-shift. We present a gravitational or geometric interpretation of spin-0, spin-1, and spin-1/2 states. We present an interpretation of why do we measure matter rather than anti-matter. We found that the Higgs scalar field is represented by the gravitational red-shift at every point in the space around the black hole. We derive the numerical value of the cosmological constant that agrees with experimental observations.

scholarly journals ENTANGLEMENT DEGRADATION IN THE PRESENCE OF (4 + n)-DIMENSIONAL SCHWARZSCHILD BLACK HOLE

2013 ◽  
Vol 11 (01) ◽  
pp. 1350014
Author(s):  
DAEKIL PARK
Keyword(s):  
Black Hole ◽  
Quantum Entanglement ◽  
Quantum Correlation ◽  
Degradation Rate ◽  
Quantum Correlations ◽  
Schwarzschild Black Hole ◽  
Free Falling

In this paper, we compute the various bipartite quantum correlations in the presence of the (4 + n)-dimensional Schwarzschild black hole. In particular, we focus on the n-dependence of various bosonic bipartite entanglements. For the case between Alice and Rob, where the former is free falling observer and the latter is at the near-horizon region, the quantum correlation is degraded compared to the case in the absence of the black hole. The degradation rate increases with decreasing n. We also compute the physically inaccessible correlations. It is found that there is no creation of quantum correlation between Alice and AntiRob. For the case between Rob and AntiRob the quantum entanglement is created although they are separated in the causally disconnected regions. It is found that contrary to the physically accessible correlation the entanglement between Rob and AntiRob decreases with increasing n.

Sign in / Sign up

Export Citation Format

Share Document