Magnetoimplosive generators

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which relates the entropy to the area of a codimension 2 minimal hypersurface embedded in the bulk AdS space is given. The entanglement entropy is determined by a partition function which is defined as a path integral over Riemannian AdS geometries with non-trivial boundary conditions. The topology of the Riemannian spaces puts restrictions on the choice of the minimal hypersurface for a given boundary conditions. The entanglement entropy is also considered in Randall-Sundrum braneworld models where its asymptotic expansion is derived when the curvature radius of the brane is much larger than the AdS radius. Special attention is payed to the geometrical structure of anomalous terms in the entropy in four dimensions. Modification of the holographic formula by the higher curvature terms in the bulk is briefly discussed.1 First indications on a possible relation between quantum entanglement and gravity phenomena should be attributed to authors of [3],[4] who suggested to interpret the Bekenstein-Hawking entropy as the entanglement entropy.

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“…The gravity on the brane is an induced phenomenon, in a sense close to the Sakharov's induced gravity scenario [20].…”

Section: Jhep09(2006)018mentioning

confidence: 60%

Proof of the holographic formula for entanglement entropy

Fursaev¹

2006

J. High Energy Phys.

207

336

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“…(1) to the set (N, y A ), A = 2, 3 (where y A are transverse coordinates on the N = constant surface) by treating N as one of the spatial coordinates. The metric can now be transformed to the form…”

Section: Observers and Their Horizonsmentioning

confidence: 99%

“…Einstein's equations arise as a consistency condition, reminiscent of the way it is derived in some string theory models due to the vanishing of beta function [26]. While the idea of spacetime being an "elastic solid" has a long history (starting from Sakharov's work in [1]), all the previous approaches try to obtain a low energy effective action in terms of g ab s and then vary g ab to get Einstein's equations. Our approach is very different and is a simple consequence of taking our paradigm seriously.…”

Section: Elasticity Of the Spacetime Solidmentioning

confidence: 99%

“…If we treat the macroscopic spacetime as analogous to a continuum solid and the unknown microscopic structure of spacetime as analogous to the atomic structure [1], then it is possible to gain some important insights into the possible nature of quantum gravity. First of all, we note that the macroscopic description of a solid uses concepts like density, stress and strain, bulk velocity etc., none of which can even be usefully defined in the microscopic description.…”

Section: Introductionmentioning

confidence: 99%

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Holographic gravity and the surface term in the Einstein-Hilbert action

Padmanabhan¹

2005

Braz. J. Phys.

127

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Certain peculiar features of Einstein-Hilbert (EH) action provide clues towards a holographic approach to gravity which is independent of the detailed microstructure of spacetime. These features of the EH action include: (a) the existence of second derivatives of dynamical variables; (b) a non trivial relation between the surface term and the bulk term; (c) the fact that surface term is non analytic in the coupling constant, when gravity is treated as a spin-2 perturbation around flat spacetime and (d) the form of the variation of the surface term under infinitesimal coordinate transformations. The surface term can be derived directly from very general considerations and using (d) one can obtain Einstein's equations just from the surface term of the action. Further one can relate the bulk term to the surface term and derive the full EH action based on purely thermodynamic considerations. The features (a), (b) and (c) above emerge in a natural fashion in this approach. It is shown that action A grav splits into two terms −S + βE in a natural manner in any stationary spacetime with horizon, where E is essentially an integral over ADM energy density and S arises from the integral of the surface gravity over the horizon. This analysis shows that the true degrees of freedom of gravity reside in the surface term of the action, making gravity intrinsically holographic. It also provides a close connection between gravity and gauge theories, and highlights the subtle role of the singular coordinate transformations.

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“…Haisch & Rueda [84][85][86][87] claim vacuum resistance arises from this reaction force, f = -f. We have also derived an electromagnetic interpretation of gravity and electromagnetism [96] that suggests this inertial back-reaction is like an electromotive force 2 of the de Broglie matter-wave field in the spin exchange annihilation creation process inherent in a hysteresis of relativistic spacetime fabric. In fact we go further to suggest that the energy responsible for Newton's third law is a result of the continuous-state flux of the ubiquitous noetic field [99]. For the L.O.V.E.R.…”

Section: Introduction To P 1  Experimentsmentioning

confidence: 69%

Simple Resonance Hierarchy for Surmounting Quantum Uncertainty

Amoroso¹

2010

AIP Conference Proceedings

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Abstract. For a hundred years violation or surmounting the Quantum Uncertainty Principle has remained a Holy Grail of both theoretical and empirical physics. Utilizing an operationally completed form of Quantum Theory cast in a string theoretic Higher Dimensional (HD) form of Dirac covariant polarized vacuum with a complex Einstein energy dependent spacetime metric, M 4 :C 4 with sufficient degrees of freedom to be causally free of the local quantum state, we present a simple empirical model for ontologically surmounting the phenomenology of uncertainty through a Sagnac Effect RF pulsed Laser Oscillated Vacuum Energy Resonance hierarchy cast within an extended form of a Wheeler-Feynman-Cramer Transactional Calabi-Yau mirror symmetric spacetime backcloth. PHENOMENOLOGY VERSUS ONTOLOGYIt is impossible by definition to violate the uncertainty principle, . This is a fundamental empirical fact demonstrated by the Stern-Gerlach experiment where space quantization occurs for example along an arbitrary z axis by continuous application of a non-uniform magnetic field to atomic spin structure [1], or by Young's double-slit experiment [2]. This scenario is cast in stone and is not the arena of our attack. The simplistic answer is 'do something else'! Our putative solution is contextual. Even though the solution is simple arriving at the new context is nontrivial and like any radically new idea will at first not be pleasing to many.Recent advances in the new field of Interaction-Free Measurement (IFM) [3][4][5], a quantum mechanical interferometry procedure for detecting the state of an object without a phenomenological interaction occurring with the measuring device is a primitive precursor to our probability 1  model [6] utilizing additional degrees of freedom inherent in the supersymmetric regime of string/brane theory. Just as the UV catastrophe provided a clue for the immanent transition from Classical to Quantum Mechanics, duality in the Quantum Zeno Effect 1 hints at another new horizon. IFM protocols have provided an intermediate indicia of this imanent scenario. The quantum Zeno paradox experimentally implemented in IFM protocols hints at the duality between the regular phenomenological quantum theory and a completed unitary or ontological model beyond the formalism of the standard Copenhagen interpretation. Utilizing extended theoretical elements associated with a new formulation for the topological transformation of a 'cosmological least unit', a putative empirical protocol for producing IFM with probability 1  is introduced in a manner representing a direct causal violation or absolute surmounting of the quantum Uncertainty Principle. An interaction is any action, generally a force, mediated by an exchange particle like the photon in electromagnetic interactions. This physical concept of a fundamental interaction regards phenomenological properties of matter (Fermions) mediated by the exchange of an energy / momentum field (Bosons) as described by the Galilean, Lorentz or Poincairé groups of transformations. H...

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Magnetoimplosive generators

Cited by 70 publications

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Proof of the holographic formula for entanglement entropy

Proof of the holographic formula for entanglement entropy

Holographic gravity and the surface term in the Einstein-Hilbert action

Simple Resonance Hierarchy for Surmounting Quantum Uncertainty

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