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Acoustical frequency for wormhole research paper
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<blockquote data-quote="IncommensurableLoop" data-source="post: 201184" data-attributes="member: 12241"><p>“</p><p>We have developed acoustic analogs of static traversable wormhole geometries of general relativity in which the stress tensor is pro- vided by the minimally coupled scalar field. This, in turn, implies that we have essentially modelled the wormhole exotic material and geometry together by means of usual fluid variables. (Rotating wormholes [40] can likewise be acoustically modelled following the developments in Ref.[6]). The wormhole analogs have been found to correspond to energy condition satisfying fluid or ordinary matter. This result stands in direct contrast to the fact that a very thin shell of exotic fluid is required to wrap up the Schwarzschild black hole horizon in its acoustic analog. The distinction appears somewhat counterintuitive</p><p>10</p><p></p><p>since, in the ordinary description, it is the wormhole, not the black hole, that contains energy violating exotic matter. (2) The acoustic analog of massless wormholes describes the singularity free Einstein-Rosen bridge model of elementary particles in a very inter- esting way. In this special case, we have found a new acoustic invariant that distinguishes the particle model from the massive analogs. (3) The nature of curvature singularity in the massive case has been brought forth in terms of the acoustic language. We have seen that the acoustic behaviors at the naked singularity are not too different from those at the horizon surface except in case (iii). Therefore, acoustically speaking, the occurrence of a naked singularity is just as viable as that of a horizon. This wisdom from acoustics could have implications for Penrose’s cosmic censorship conjecture in geometric general relativity. Finally, (4) we have demonstrated that a gravitational optical medium shares the same refractive index with the corresponding acoustic model in the simplest case of spherical symmetry. It is argued that, in the eikonal approximation, the equations of ray trajectories are exactly the same both in a gravity field and in the acoustic medium so long as both are described by the same n = n(r). Therefore, the amount of bending of the rays in two situations should be the same.”</p><p></p><p> Acoustics. Gravity and light All work on the same medium according to this research paper</p></blockquote><p></p>
[QUOTE="IncommensurableLoop, post: 201184, member: 12241"] “ We have developed acoustic analogs of static traversable wormhole geometries of general relativity in which the stress tensor is pro- vided by the minimally coupled scalar field. This, in turn, implies that we have essentially modelled the wormhole exotic material and geometry together by means of usual fluid variables. (Rotating wormholes [40] can likewise be acoustically modelled following the developments in Ref.[6]). The wormhole analogs have been found to correspond to energy condition satisfying fluid or ordinary matter. This result stands in direct contrast to the fact that a very thin shell of exotic fluid is required to wrap up the Schwarzschild black hole horizon in its acoustic analog. The distinction appears somewhat counterintuitive 10 since, in the ordinary description, it is the wormhole, not the black hole, that contains energy violating exotic matter. (2) The acoustic analog of massless wormholes describes the singularity free Einstein-Rosen bridge model of elementary particles in a very inter- esting way. In this special case, we have found a new acoustic invariant that distinguishes the particle model from the massive analogs. (3) The nature of curvature singularity in the massive case has been brought forth in terms of the acoustic language. We have seen that the acoustic behaviors at the naked singularity are not too different from those at the horizon surface except in case (iii). Therefore, acoustically speaking, the occurrence of a naked singularity is just as viable as that of a horizon. This wisdom from acoustics could have implications for Penrose’s cosmic censorship conjecture in geometric general relativity. Finally, (4) we have demonstrated that a gravitational optical medium shares the same refractive index with the corresponding acoustic model in the simplest case of spherical symmetry. It is argued that, in the eikonal approximation, the equations of ray trajectories are exactly the same both in a gravity field and in the acoustic medium so long as both are described by the same n = n(r). Therefore, the amount of bending of the rays in two situations should be the same.” Acoustics. Gravity and light All work on the same medium according to this research paper [/QUOTE]
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