We derive the metric of the BTZ black hole for the special case of interchanging the characterist... more We derive the metric of the BTZ black hole for the special case of interchanging the characteristics of space and time coordinates. We maximally extend the geometry of this interior solution and show that the line element is similar to its exterior solution counterpart. Thus, we assign the thermofield double state dual to this interior geometric construction. As a result, we have two independent thermofield double states dual to the corresponding BTZ metric; one dual to the exterior solution and one dual to the interior solution, respectively. In this scenario, considering both thermofield double states as dual to the full BTZ black hole we evaluate the partition function of the bulk. The partition function proves to represent a non-orientable spacetime. In addition, we derive the thermofield double-like state that connects in the gravity dual the regions of spacetime with opposite orientations of space and time.
In this paper we reconsider the importance of interchanging the space and time characteristics wi... more In this paper we reconsider the importance of interchanging the space and time characteristics within the framework of Schwarzschild solution. More specifically, we derive the internal Schwarzschild solution for the special case of switching space and time roles. We have found that for the interior Schwarzschild solution, the exterior region is now a trapped region while the black hole region is an asymptotic region that extends to infinity. We attempt to clarify this puzzling behavior by analytically extending the Schwarzschild spacetime. Ultimately, we derive the maximal extension of the interior Schwarzschild spacetime. In addition, along the way, we discuss peculiarities of the internal Schwarzschild solution as perceived by a hypothetical observer situated behind the event horizon, like the possibility of traveling from region I to the region III of the Kruskal spacetime even in the absence of a wormhole. We conclude with some speculations that have the purpose to shed light on the unusual features encountered behind the Schwarzschild horizon.
The curvature and twisting of spacetime rotate the angle of polarization and imprint orbital angu... more The curvature and twisting of spacetime rotate the angle of polarization and imprint orbital angular momentum to photons emitted by the accretion disk near rotating black holes. Considering polarization and orbital angular momentum as two degrees of freedom of single-photons that can encode quantum information, we emphasize that the particular shape of spacetime around rotating black holes implements quantum gates and simple quantum circuits. Consequently, we demonstrate the implementation of some elementary quantum gates, like Hadamard or C-NOT, and simple quantum circuits, like Bell states, with photons in the presence of spinning black holes. Detection and measurement of quantum information encoded in photons emitted in the accretion disk around rotating black holes may be performed by actual quantum information technology.
Abstract: Applications of Quantum Tunneling effect have long gone beyond the traditional physical... more Abstract: Applications of Quantum Tunneling effect have long gone beyond the traditional physical meaning. Initially created by Gamow to explain α-decay of nuclear particles, along the time, quantum tunneling found fertile domain of research in chemistry and recently in biology, where the new discipline of Quantum Biology emerges. The present paper extends the applicability of quantum tunneling to financial markets. In a recent paper [1] a time-independent equation for pricing the options having the underlying stock in a range bound markets is found. The equation is identical with a time-independent Schrodinger equation but incorporates elements of finance. The financial time-independent equation for option pricing is solved to explain a particular explosive violent movement of stock price in range bound markets. The aforementioned particular stock price movement is assimilated with a quantum tunneling effect. The probability of stock price to quantum tunneling out of the bounded re...
We investigate the emergence of thermodynamic arrow of time in the context of AdS/CFT corresponde... more We investigate the emergence of thermodynamic arrow of time in the context of AdS/CFT correspondence. We show that, on the CFT side, if the two copies of the field theory are not initially correlated the entropy can only increase such that a definite orientation for the thermodynamic arrow of time is imposed. Conversely, in a high-correlation environment, the entropy can either increase or decrease, such that there is no opportunity for the dominance of one direction of time over the other. On the gravity side, we construct the structure of geometric dual by considering the notion of spacetime sidedness and time-orientability. Accordingly, we conjecture that the entanglement of the CFTs in the thermofield double state, impose the connection of the two sides of the spacetime forming a one sided spacetime. In addition, disentangling the degrees of freedom of the two CFTs, results in disconnecting the two sides of the spacetime. In essence, the maximal entanglement between the two copi...
We argue, in the context of AdS/CFT correspondence, that the structure of the geometry dual to tw... more We argue, in the context of AdS/CFT correspondence, that the structure of the geometry dual to two entangled CFTs is a time non-orientable spacetime. Further, we elevate this argument to whatever entangled quantum systems. Accordingly, we should expect that entangled quantum systems (particles in subsidiary) to not experience the flow of time. As a result, the lifetime of entangled particles should be considerably longer than that of their unentangled counterparts.
We derive the metric of the BTZ black hole for the special case of interchanging the characterist... more We derive the metric of the BTZ black hole for the special case of interchanging the characteristics of space and time coordinates. We maximally extend the geometry of this interior solution and show that the line element is similar to its exterior solution counterpart. Thus, we assign the thermofield double state dual to this interior geometric construction. As a result, we have two independent thermofield double states dual to the corresponding BTZ metric; one dual to the exterior solution and one dual to the interior solution, respectively. In this scenario, considering both thermofield double states as dual to the full BTZ black hole we evaluate the partition function of the bulk. The partition function proves to represent a non-orientable spacetime. In addition, we derive the thermofield double-like state that connects in the gravity dual the regions of spacetime with opposite orientations of space and time.
In this paper we reconsider the importance of interchanging the space and time characteristics wi... more In this paper we reconsider the importance of interchanging the space and time characteristics within the framework of Schwarzschild solution. More specifically, we derive the internal Schwarzschild solution for the special case of switching space and time roles. We have found that for the interior Schwarzschild solution, the exterior region is now a trapped region while the black hole region is an asymptotic region that extends to infinity. We attempt to clarify this puzzling behavior by analytically extending the Schwarzschild spacetime. Ultimately, we derive the maximal extension of the interior Schwarzschild spacetime. In addition, along the way, we discuss peculiarities of the internal Schwarzschild solution as perceived by a hypothetical observer situated behind the event horizon, like the possibility of traveling from region I to the region III of the Kruskal spacetime even in the absence of a wormhole. We conclude with some speculations that have the purpose to shed light on the unusual features encountered behind the Schwarzschild horizon.
The curvature and twisting of spacetime rotate the angle of polarization and imprint orbital angu... more The curvature and twisting of spacetime rotate the angle of polarization and imprint orbital angular momentum to photons emitted by the accretion disk near rotating black holes. Considering polarization and orbital angular momentum as two degrees of freedom of single-photons that can encode quantum information, we emphasize that the particular shape of spacetime around rotating black holes implements quantum gates and simple quantum circuits. Consequently, we demonstrate the implementation of some elementary quantum gates, like Hadamard or C-NOT, and simple quantum circuits, like Bell states, with photons in the presence of spinning black holes. Detection and measurement of quantum information encoded in photons emitted in the accretion disk around rotating black holes may be performed by actual quantum information technology.
Abstract: Applications of Quantum Tunneling effect have long gone beyond the traditional physical... more Abstract: Applications of Quantum Tunneling effect have long gone beyond the traditional physical meaning. Initially created by Gamow to explain α-decay of nuclear particles, along the time, quantum tunneling found fertile domain of research in chemistry and recently in biology, where the new discipline of Quantum Biology emerges. The present paper extends the applicability of quantum tunneling to financial markets. In a recent paper [1] a time-independent equation for pricing the options having the underlying stock in a range bound markets is found. The equation is identical with a time-independent Schrodinger equation but incorporates elements of finance. The financial time-independent equation for option pricing is solved to explain a particular explosive violent movement of stock price in range bound markets. The aforementioned particular stock price movement is assimilated with a quantum tunneling effect. The probability of stock price to quantum tunneling out of the bounded re...
We investigate the emergence of thermodynamic arrow of time in the context of AdS/CFT corresponde... more We investigate the emergence of thermodynamic arrow of time in the context of AdS/CFT correspondence. We show that, on the CFT side, if the two copies of the field theory are not initially correlated the entropy can only increase such that a definite orientation for the thermodynamic arrow of time is imposed. Conversely, in a high-correlation environment, the entropy can either increase or decrease, such that there is no opportunity for the dominance of one direction of time over the other. On the gravity side, we construct the structure of geometric dual by considering the notion of spacetime sidedness and time-orientability. Accordingly, we conjecture that the entanglement of the CFTs in the thermofield double state, impose the connection of the two sides of the spacetime forming a one sided spacetime. In addition, disentangling the degrees of freedom of the two CFTs, results in disconnecting the two sides of the spacetime. In essence, the maximal entanglement between the two copi...
We argue, in the context of AdS/CFT correspondence, that the structure of the geometry dual to tw... more We argue, in the context of AdS/CFT correspondence, that the structure of the geometry dual to two entangled CFTs is a time non-orientable spacetime. Further, we elevate this argument to whatever entangled quantum systems. Accordingly, we should expect that entangled quantum systems (particles in subsidiary) to not experience the flow of time. As a result, the lifetime of entangled particles should be considerably longer than that of their unentangled counterparts.
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Papers by Ovidiu Racorean