Patent Application: US-95476704-A

Abstract:
a method for employing sinusoidal oscillations of electrical bombardment on the surface of one kerr type singularity in close proximity to a second kerr type singularity in such a method to take advantage of the lense - thirring effect , to simulate the effect of two point masses on nearly radial orbits in a 2 + 1 dimensional anti - de sitter space resulting in creation of circular timelike geodesics conforming to the van stockum under the van den broeck modification of the alcubierre geometry permitting topology change from one spacelike boundary to the other in accordance with geroch &# 39 ; s theorem which results in a method for the formation of g } odel - type geodesically complete spacetime envelopes complete with closed timelike curves .

Description:
the theoretical understanding of quantum gravity allows the design of time displacement systems from first principles . it is unlikely that gravitons or kerr singularities can be controlled in a precise way using current technology . nevertheless , an understanding of three dimensional space - time and matter , does allow the design of elementary displacement systems . that is , systems whose displacement rely on direct warping space - time as opposed to the ejection of material to provide thrust resulting in time dilatational effects . the background for these systems are already partially understood and quintessence theory allows their further development . for this invention , the formation of black holes in the laboratory represents a crucial step in understanding the mechanisms that underlay gravitational physics and in turn the warping of space - time . the existence of black holes permits the localized application of the axial torsion spin - rotation coupling effect ( zhang & amp ; beesham 2002 ) resulting in a rotating frame with relativistic factor ( zhang 2003 ) which can be used in the creation of a alcubierre space time bubble under the van den broeck modification of the alcubierre geometry ( van den broeck 1999 ) resulting in a method for the generation of a pseudo 2 + 1 dimensional anti - de sitter space ( dedeo & amp ; gott 2002 ) using two kerr type positively charged rotating dilation singularities where one singularity is maintained as a axis of rotation or “ reference ” singularity , and the other “ target ” singularity is subjected to a differential electron flow so as to simultaneously pass above the photosphere of said singularity in its direction of rotation and contrary to its direction of rotation to release a directed flow of gravitons in a sinusoidal oscillation simulating a rotational effect of the “ target ” singularity around the axis of rotation provided by the “ reference ” singularity . in this instance the space - time lattice would be repelled by gravitons in such a way as to disperse space - time quintessence in a circular fashion around each of the singularities , producing multiple event horizons around the simulated axis of rotation provided by the reference singularity . the release of gravitons from the target singularity is controlled by differentially governing the electron flow across the photosphere with the use of powerful electric currents . in turn the differential direction of flow across the photosphere of gravitons would determine the direction of motion through the space time lattice and the resulting time displacement from one spacelike boundary to the other in accordance with geroch &# 39 ; s theorem ( geroch 1967 ) when implementing this approach it is important to remember that the black hole is not excited by the smashing of the clump as it “ hits ” the horizon . the hole is rather excited when the metric perturbation associated with the clump is “ felt ” by the background metric . the excitation event therefore constitutes a smooth process whereby in - fall of a clump from . rmb and through r + serves as a source in the teukolsky ( 1973 ) equation for small perturbations to the kerr geometry ( with appropriate boundary conditions at r + and r ∞). this is an important distinction with a great deal of relevance to the practical engineering of the displacement unit since we need to gauge the “ driving ” of qnr modes in terms of an e_ective coupling from clump in - fall . what results is a method for resonant driving of the quasi - normal ringing ( qnr ) wave modes of the kerr geometry of the target singularity . the micro black hole hyper - accreting at rates ÿ m . 1 m □ sec . 1 from a neutrino cooled disk is pushed through to oscillate near resonance of its ( l , m = 2 , 2 ) quadrupole qnr frequency due to the in - fall of compact mass over - densities from the cusp in e_ective potential on a dynamical time scale . this mode is induced via induced magneto - rotationally induced fluid dynamics in the ultra - relativistic region of the flow bounded from below by the marginally bound orbit radius : rmb if the qnr modes are fed resonantly for a few seconds of hyper - accretion , the enhanced amplitude of the oscillations yields a very high rate of energy deposition into gravitational waves . indeed , the integrated energy deposition is large enough to “ evaporate ” the equivalent of a factor of a few times the total rest mass - energy of a single clump into gravitational waves , which in turn interact with the reference singularity application of the method described in the previous section results in translation outside of the cosmological horizon , where f ( r )& lt ; 0 . the topology of the resulting geodesic , for large constant r , is mathematically equivalent to a euclidean cylinder of the condition r × sn where t is the coordinate along the cylinder . i ± are located outside the future / past cosmological horizons , where r is timelike and t is spacelike . in the case of a rotating kerr black hole , there are two circular photon orbits that can exist in the equatorial plane and be exploited to create a tipler sinusoid . one is a prograde orbit moving in the same direction as the black hole &# 39 ; s rotation , while the other is a retrograde orbit moving against the black hole &# 39 ; s rotation . their radii are respectively given by where a is the angular momentum per unit mass of the black hole . the orbits fall in the range m greater or equal to r1 greater or equal to 3m greater or equal to r2 greater or equal to 4m the fact that a prograde photon or in or case cooper pair with bose characteristics orbits the black hole at a smaller radius than a retrograde one can be attributed to the well - known lense - thirring effect , i . e ., the dragging of inertial frames due to the black hole &# 39 ; s rotation which we control and influence via electromagnetic induced load coupling with the open magnetic field lines threading the bh horizon . this dragging would cause charged cooper pairs to revolve around the black hole relative to a static observer at infinity . thus , to such an observer , a prograde cooper pair would have to orbit at a smaller radius to compensate for the ‘ extra ’ angular momentum acquired , while a retrograde one would have to orbit at a larger radius to compensate for the ‘ lost ’ angular momentum . indeed , in the limit of zero rotation , these two orbits coincide at r d 3m , giving the single circular orbit of the schwarzschild black hole . now , recall that orbits around the schwarzschild black hole are necessarily confined to a plane passing through its center , because of the spherical symmetry of the space - time . however , the kerr black hole space - time has only an axial symmetry ( in addition to being stationary ), and this raises the possibility of non - planar orbits . one could , for example , contemplate the existence of spherical boseon orbits — orbits with constant coordinate radii that are not necessarily confined to the equatorial plane — around the kerr black hole . such orbits would be a nontrivial generalization of the two circular photon orbits that lie in the equatorial plane . at first it may seem a little surprising that such spherical orbits could even exist , but there is an interesting reason as to why they are possible . note that an object in a spherical orbit would , in addition to moving around the black hole in the azimuthal direction , be undergoing some periodic motion in the latitudinal direction . this is only possible if there is a conserved quantity associated with motion in this direction , just as angular momentum is necessarily conserved by its rotational motion in the azimuthal direction . ( this result can be seen , for example , using action - angle variable ) now , because the kerr space - time has only axial symmetry , geodesics in it should have only two constants of motion , namely energy and angular momentum . however , carter discovered the remarkable fact that geodesics in the kerr space - time possess a third constant of motion . it turns out that carter &# 39 ; s new constant governs the motion of geodesics in the latitudinal direction , although it is not related to any obvious space - time symmetry . thus , spherical timelike orbits , which assume eigenlike properties around the kerr black hole , are possible and when coupled with charged bosons may be exploited to manipulate the relative event horizons of the “ target ” singularity . the location and the temperature of the modified event horizon depend on the time , charge and angle of incidence of the cooper pairs . the fermionic spectrum of dirac particles displays a spin - rotation coupling effect due to the interaction between the particles with spin - 1 = 2 and the black holes with rotation . the effects arise from the interaction between the spin of dirac particles and the rotation of the evaporating black holes . the feature of this spin - rotation coupling effect is its dependence on different helicity states of coupled particles with spin - ½ and its irrelevance to the mass of particles . in order to design a mechanism for time displacement exploiting the carter asymettry cited above we utilize two positively charged top spin rotating kerr type black holes aligned on demand to create a simulated rotational effect around a central axis provided by the “ reference ” singularity . in the case of the kerr blackhole ( singularity ), this is accomplished by an inverse blandford - znajek ( bz ) process utilizing the magnetic flux of open field lines connecting the horizon and an induced remote load . ( ding - xiong wang , kan xiao & amp ; wei - hua lei , 2001 ) permitting the microscopic blackhole ( singularity ) to be rotated along its horizontal axis in at relativistic centrifugational speeds . a differential current is then applied in such a way as to pass through the entire photosphere in the desired direction . as a result the gravity field can be manipulated by three factors that affect it in distinct ways . adding electric charge to the singularities increases the diameter of the inner event horizons . adding mass to the singularities increases the area of gravitational influence around the singularities . rotating and positioning the polar axis of the singularities affects and alters the resulting gravity sinusoid in order to create a sinusoid capable of inducing a topology change from one spacelike boundary to the other in accordance with geroch &# 39 ; s theorem the electric charge in the upper half of the photosphere would be maximised . the electrons will have a vector in the left to right direction as the singularity spins clockwise . if a maximised current is applied to the singularity in the same direction this will result in a increase in the velocity of the electrons relative to the centre of gravity of the singularity , due to the flow of current . in turn , according special relativity and to the space - time lattice model , this wilt result in an increase in the relativistic mass if the electrons and in turn by general relativity an increase in the release of gravitons . conversely in the lower half of the singularity the electrons will have a vector of motion in the right to left direction due to the spin of the singularity . this will be relativistically slowed by the differential current applied in the same direction as the current above , and hence in the opposite direction to the direction of rotation . the charge can be separately applied and adjusted to ensure that the electrons are relativistically stationary relative to the centre of gravity . in turn this will minimize the relativistic mass and result in a decrease in the release of gravitons for the lower half of the singularity . the overall result will be a greater release of gravitons in one direction and a lesser release of gravitons in the converse direction . the effect will be enhanced by the use of a multi - phasic current simultaneously applied . this will result in the release of multi - phasic gravitons which will disperse space time in the singularity with increase in density in the converse this effect can also be produced and supplemented with the use radio frequency pulses , the radio frequency pulses must be designed to produce a change in the spin of the particle to enhance the release of gravitons in the desired direction with the use of large currents the drift velocity of the electrons across the photosphere could be greatly increased . within this region the electrical resistance is virtually eliminated . thereby allowing large currents to be induced with minimum total power output . the result is the production of cooper paired electrons of high speed and hence high relativistic mass in the desired half of the singularity , whilst producing low speed and thus low mass paired electrons at the converse of the singularity , in accordance with special relativity . the imbalance in the rotating singularity will be continuously present creating a dynamic warping of space - time . in effect , the differential current flow , will produce differential graviton production and in turn , by general relativity , the warping of space - time as the cooper pairs cross the photosphere , accretion of the bose particles results . near - hole accretion across the target singularity is then motivated by magneto - rotationally induced , ultra - relativistic disk dynamics in the region of the flow bounded from below by the marginally bound geodesic radius rmb . as the particles impelled have high spin values , a largely coherent magnetic field in this region has the dynamical implication of compact mass segregation at the displacement nodes of the non - axisymmetric , mri modes . this results in prolific gravitational wave emission coincident with the gamma - ray stage . the gravitational wave emissions are then manipulated to influence the reference singularity to produce a variable gravitational sinusoid which is then used to mathematically approximate the gravametric distortion , inducing a topology change from one spacelike boundary to the other in accordance with geroch &# 39 ; 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