Kerr Black Hole Geometry Leading to Dark Matter and Dark Energy via E-Infinity Theory and the Possibility of a Nano Spacetime Singularities Reactor

The present paper is basically a synthesis resulting from incorporating Kerr spinning black hole geometry into E-infinity topology, then letting the result bares on the vacuum zero point Casimir effect as well as the cosmic dark energy and dark matter density. In E-infinity theory a quantum particle is represented by a Hausdorff dimension Φ where Φ =2/(√5+1) . The quantum wave on the other hand is represented by Φ2 . To be wave and a particle simultaneously intersection theory leads us to?(Φ) (Φ)2= Φ3 which will be shown here to be twice the value of the famous Casimir force of the vacuum for a massless scalar field. Thus in the present work a basically topological interpretation of the Casimir effect is given as a natural intrinsic property of the geometrical topological structure of the quantum-Cantorian micro spacetime. This new interpretation compliments the earlier conventional interpretation as vacuum fluctuation or as a Schwinger source and links the Casimir energy to the so called missing dark energy density of the cosmos. From the view point of the present work Casimir pressure is a local effect acting on the Casimir plates constituting the local boundary condition while dark energy is nothing but the global combined effect of infinitely many quantum waves acting on the M&#246bius-like boundary of the holographic boundary of the entire universe. Since this higher dimensional M&#246bius-like boundary is one sided, there is no outside to balance the internal collective Casimir pressure which then manifests itself as the force behind cosmic expansion, that is to say, dark energy. Thus analogous to the exact irrational value of ordinary energy density of spacetime E(O)=(Φ5/2) mc2 we now have P (Casimir) = (Φ3/2)(ch/d2) where c is the speed of light, m is the mass, h is the Planck constant and d is the plate separation. In addition the new emerging geometry combined with the topology of E-infinity theory leads directly to identifying dark matter with the quasi matter of the ergosphere. As a direct consequence of this new insight E=mc2 which can be written as E = E (O) + E (D)?where the exact rational approximation is E (O)=mc2/22 is?the ordinary energy density of the cosmos and the exact rational approximation E (D)=mc2/(21/22) is the corresponding dark energy which could be subdivided once more albeit truly approximately into E(D)=mc2/(5/22)?+mc2/(16/22)??where 5 is the Kaluza Klein spacetime dimension, 16 are the bosonic extra dimensions of Heterotic superstrings and 5/22 □?22% is approximately the density of the dark matter-like energy of the ergosphere of the Kerr geometry. As for the actual design of our nano reactor, this is closely related to branching clusters of polymer, frequently called lattice animals. In other words we will have Casimir spheres instead of Casimir plates and these spheres will be basically nano particles modelling lattice animals. Here D=?4 will be regarded as spacetime dimensionality while D=6 of percolations are the compactified super string dimensions and D=8 is the dimension of a corresponding super space.

Thermodynamic geometry of the Garfinkle-Horowitz-Strominger dilaton black hole

This paper studies the thermodynamic properties of the Garfinkle Horowitz Strominger dilaton black hole from the viewpoint of geometry. It calculates the heat capacity and the temperature of the black hole, Weinhold metric and Ruppeiner metric are also obtained respectively. It finds that they are both curved and the scalar curvature of the Weinhold geometry consists with the first-order transition point reproduced from the capacity, while the Ruppeiner one is both in accordance with the first-order and the second-order phase transition points reproduced from the capacity.

Thermodynamic and geometric framework of a(2+1)-dimensional black hole with non-linear electrodynamics

The thermodynamic properties of a （2 ＋ 1）-dimensional black hole with non-linear electrodynamics from the viewpoint of geometry is studied and some kinds of temperatures of the black hole have been obtained. Weinhold curvature and Ruppeiner curvature are explored as information geometry. Moreover, based on Quevedo＇s theory, the Legendre invariant geometry is investigated for the black hole. We also study the relationship between the scalar curvatures of the above several metrics and the phase transitions produced from the heat capacity.

Temperature and thermodynamic geometry of the Kerr-Sen black hole

This paper studies the thermodynamic properties of the Kerr-Sen black hole from the viewpoint of geometry. It calculates the temperature and heat capacity of the black hole, Weinhold metric and Ruppeiner metric are also obtained respectively. It finds that they are both curved and the curvature scalar of Weinhold curvature implies no information about the phase transition while the Ruppeiner one does. But they both carry no information about the second-order phase transition point reproduced from the capacity. Besides, the Legendre invariant metric of the Kerr-Sen black hole has been discussed and its scalar curvature gives the information about the second-order phase transition point.

The energy of Einstein-Maxwell dilation-axion black hole in the teleparallel geometry

The energy of the stationary axisymmetric Einstein-Maxwell dilation-axion （EMDA） black hole is studied in the context of the Hamiltonian formulation of the teleparallel equivalence of general relativity （TEGR）. The energy expression for the finite and arbitrary space-like two spheres is exactly computed by means of the integral form of the constraint equations of the formalism naturally without any restriction on the metric parameters. We also show that our results give the same values obtained by other methods for some special cases.

Geometry and thermodynamics of smeared Reissner–Nordstrm black holes in d-dimensional AdS spacetime

We construct a family of d-dimensional Reissner–Nordstrom-AdS black holes inspired by noncommutative geometry. The density distribution of the gravitational source is determined by the dimension of space, the minimum length of spacetime l, and other parameters（e.g., n relating to the central matter density）. The curvature of the center and some thermodynamic properties of these black holes are investigated. We find that the center of the source is nonsingular for n 0（under certain conditions it is also nonsingular for-2 n 〈 0）, and the properties at the event horizon, including the Hawking temperature, entropy, and heat capacity, are regular for n 〉-2. Due to the presence of l, there is an exponentially small correction to the usual entropy.

Quasinormal Modes of a Noncommutative-Geometry-Inspired Schwarzschild Black Hole

The quasinormal modes（QNMs） of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the third-order Wentzel-Kramers-Brillouin approximative approach. The result shows that the noncommutative parameter plays an important role for the quasinormal（QNM） frequencies.

Modeling and Analysis of Vibration Characteristics of Rectangular Plate with Circular Through Hole Under Complex Boundary Conditions

This paper presents a method to study the free vibration of a plate with circular holes.The circular hole is regarded as a virtual small plate in which the mass density and Young's modulus are zero.Therefore,the free vibration problem of the circular hole plate can be transformed into the free vibration problem of the equivalent rectangular plate with non-uniform thickness.The model is derived from the spectral geometry method(SGM),and the displacement of the plate with circular holes is expanded by the modified Fourier series.Virtual springs are added to the boundary of the plate to simulate the boundary conditions of simply supported and fixed supports.The accuracy of this method is verified by comparison with the finite element calculation results.The relationship between modal numerical solutions of plates with circular holes and boundary conditions and geometry of the plate is studied.

The Counterintuitive Increase of Information Due to Extra Spacetime Dimensions of a Black Hole and Dvoretzky’s Theorem

As per Hawking and Bekenstein’s work on black holes, information resides on the surface and there is a limit on it amounting to a bit for every Planck area. It would seem therefore that extra dimensions would logically lead to a hyper-surface for a black hole and consequently a reduction of the corresponding information density due to the dilution effect of these additional dimensions. The present paper argues that the counterintuitive opposite of the above is what should be expected. This surprising result is a consequence of a well known theorem on measure concentration due to I. Dvoretzky.

Thermodynamic Curvature and Phase Transitions from Black Hole with a Coulomb-Like Field

In this paper, we first investigate the thermodynamic features of the black hole with a coulomb-like field. Moreover, we obtain the geometric description of the black hole thermodynamics. We find that for the black hole with a coulomb-like field the Weinhold geometry is fiat, whereas its Ruppeiner geometry is curved. For the heat capacity and curvature calculation shows the Ruppeiner geometry has a transition point.

If Quantum “Wave” of the Universe Then Quantum “Particle” of the Universe: A Resolution of the Dark Energy Question and the Black Hole Information Paradox

We start from a minimal number of generally accepted premises, in particular Hartle-Hawking quantum wave of the universe and von Neumann-Connes’ pointless and self referential spacetime geometry. We then proceed from there to show, using Dvoretzky’s theorem of measure concentration, that the total energy of the universe is divided into two parts, an ordinary energy very small part which we can measure while most of the energy is concentrated as the second part at the boundary of the holographic boundary which we cannot measure in a direct way. Finally the results are shown to imply a resolution of the black hole information paradox without violating the fundamental laws of physics. In this way the main thrust of the two opposing arguments and views, namely that of Hawking on the one side and Susskind as well as tHooft on the other side, is brought to a consistent and compatible coherent unit.

A Resolution of the Black Hole Information Paradox via Transfinite Set Theory

A black hole is essentially a relativistic as well as a quantum object. Therefore the information paradox of black holes is a consequence of the clash between these two most fundamental theories of modern physics. It is logical to conclude that a resolution of the problem requires some form of a quantum gravity theory. The present work proposes such a resolution using set theory and pointless spacetime geometry.

Thermodynamic geometry of the RN-Ad S black hole and non-local observables

This paper studies the thermodynamic geometry of the Reissner–Nordstr?m-anti-de Sitter(RN-AdS)black hole via detection of the non-local observables in the dual field theory,including the entanglement entropy and equal-time two-point correlation function.With the dimensional analysis,we construct the principle of corresponding states of black hole thermodynamics.As a result,our findings can be applied to black holes with different Ad S backgrounds.In this sense,the probe of the thermodynamic geometry of the RN-Ad S black hole though the non-local observables in dual field theory has been confirmed numerically.

Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

The thermodynamics of black holes(BHs)has had a profound impact on theoretical physics,providing insight into the nature of gravity,the quantum structure of spacetime and the fundamental laws governing the Universe.In this study,we investigate thermal geometries and Hawking evaporation of the recently proposed topological dyonic dilaton BH in anti-de Sitter(Ad S)space.We consider Rényi entropy and obtain the relations for pressure,heat capacity and Gibbs free energy and observe that the Rényi parameter and dilaton field play a vital role in the phase transition and stability of the BH.Moreover,we use Weinhold,Ruppeiner and Hendi Panahiyah Eslam Momennia models to evaluate the scalar curvature of the BH and find out that the divergence points of the scalar curvature coincides with the zero of specific heat.Finally,using Stefan–Boltzmann law,we determine that the BH without a dilaton field evaporates far more quickly compared to the dilaton BH in Ad S space.

基于解析法的空间角向孔镗削工艺尺寸转换研究

空间角向孔作为行星轮系旋转作动器中的重要结构特征具有很高的加工精度。镗削时必须根据图纸设计尺寸得到准确的镗削工艺尺寸,以便准确定位。文章系统地对双角度、三角度空间角向孔镗削过程、工艺尺寸转换进行了研究,使用图解法、解析法推导出对应的计算公式,拓展了工艺尺寸转换方法。利用解析法得到的计算公式,实现利用空间角向孔与工艺钢球相对尺寸及空间角向孔角度尺寸,得到所需的镗削工艺尺寸,降低了工艺尺寸转换难度,提高了空间角向孔的镗削效率。同时结合Python编程语言,编写出一套工艺尺寸计算软件,验证了推导公式的有效性和准确性。

Exists Gravitation Inverse Matter

Existence of gravitation inverse matter in finite space is shown inevitable. As an example, direction of gravitation of rest mass of electron is opposite to that of positron. That is, electron and positron are gravitationally repulsive to each other. The physical space has previously been shown of finite extent. Therefore, if gravitation normal matter is found prevailing in the physical space then, according to the law of mass/charge balance in finite space, the Universe, i.e., the physical space and all that it contains/confines, must be a shell-structured black hole in a higher dimensional space.

地质导向钻井技术的现场应用

地质导向钻井是以井下实际地质特征来确定和控制井眼轨迹的钻井技术。使用这一技术 ,可以精确地控制井下钻具命中最佳地质目标。新疆油田MBHW 0 4水平井是国内第一口使用地质导向钻井技术的井。重点介绍了地质导向钻井技术的具体步骤及其在新疆油田MBHW 0 4井中的应用情况 ,包括自然伽马测井资料的解释和应用。应用地质导向钻井技术 。

柴油机喷嘴喷孔非对称结构对近场喷雾特性的影响

以某型国产单孔柴油喷油器为研究对象,采用X射线CT成像技术获取了喷嘴精确几何结构,发现了喷孔入口圆角的不对称性;同时采用长工作距离显微镜头结合高速可控闪光显微摄影技术,获得了喷油器喷孔下方3mm内近场喷雾图像,发现了喷雾的非对称现象,研究了喷孔非对称结构对柴油喷雾近场特性的影响。研究结果表明:喷孔入口为棱角时能够促进近场喷雾破碎;启喷阶段,喷雾轮锥角θ1和锥角θ2出现分离点,分离点之后θ1小于θ2;喷雾稳定阶段,喷孔非对称结构对近场喷雾特性的影响最为显著,圆角侧喷雾初次破碎很差,尖棱侧喷雾初次破碎很细,有大量液丝产生。针阀落座阶段,近场喷雾锥角出现结合点,结合点出现之前喷孔非对称结构的影响依然存在,结合点出现时,尖棱侧近场喷雾轮锥角骤减为零。

组喷孔喷雾雾化特性研究

基于修正的喷雾模型,对组喷孔雾化特性进行了数值研究。计算结果表明平行组喷孔中喷孔直径减小所带来的微孔效应以及喷雾重叠区域的射流交互作用,使得其喷雾同单喷孔类似,均具有良好的轴对称性。平行组喷孔喷雾贯穿度略小于等截面单喷孔,而明显大于等直径单喷孔。随着喷孔间距以及夹角的增加,喷雾射流交互作用下降,组喷孔喷雾贯穿度下降,喷雾SMR(索特半径)下降,同时也逐渐失去轴对称性。相对于收缩型组喷孔,扩张型组喷孔失去轴对称性更快,喷雾贯穿度下降更多。

球形单牙轮钻头井底凿岩轨迹

针对球形单牙轮钻头的结构和运动特点，建立复合圆柱坐标系统，并完整地给出这种钻头的几何学和运动学基本方程。在此基础上以模形齿为对象研究了单牙轮钻头井底凿岩轨迹的形成，并建立了井底轨迹图仿真软件。应用仿真软件得出钻头不同的几何参数、运动参数及不同齿面结构凿岩的井底轨迹图。通过与一只实际钻头凿岩模式相比，所得理论井底轨迹图与实际钻头凿岩井底模式非常吻合。