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...It is shown how, within the framework of general relativity and without the introduction of wormholes, it is possible to modify a spacetime in a way that allows a spaceship to travel with an arbitrarily large speed. By a purely local expansion of spacetime behind the spaceship and an opposite contraction in front of it, motion faster than the speed of l...

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... the Wreath Product of Two Wheels BY M.M.M. JARADAT and M.K. AL-QEYYAM . . . . . . . . . . . . . . . . . . 52 Theory of Relativity on the Finsler Spacetime BY SHENGLIN CAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 On the Number of Graceful Trees BY GUANGXUAN WANG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 ...

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...Contents Combinatorial Fields - An Introduction BY LINFAN MAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .01 A Spacetime Geodesics of the Schwarzschild Space and Its Deformation Retract BY H. RAFAT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23 On Degree Equitable Sets in a Graph BY A. ANITHA, S. ARUMUGA...

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... The Making of Planet and Gravity 14 The Making of Star and Solar System 15 The Making of Black Hole And Galaxy 16 Why Quantum Jump 17 Gravity by Spacetime Curvature Paradox 18 Dark Matter and Dark Energy Paradox Essay 19 Big-Bang Expansion, Illusion of Cosmic Redshift 20 A Slice of π 21 Water Cycle Management 22 Wave And Tide, A New Look 23 Anatomy of Radiation ...

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.... . . . . . . . . . . . . . . . . . . . . . . . . 365 7.2.1 Newtonian gravitational field . . . . . . . . . . . . . . . . . . 365 7.2.2 Einstein􀀀s spacetime. . . . . . . . . . . . . . . . . . .366 7.2.3 Einstein gravitational field . . . . . . . . . . . . . . . . . . . . 368 7.2.4 Limitation of Einstein􀀀s equation . . . . . . . . . . . . . 371 7.2.5 Schwarzschild me...

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...heeler define Very Strong Equivalence, (VSE): For every pointlike event of spacetime there exist a sufficiently small neighborhood such that in eve...

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...rced to transfer and transport information by a variety of means from one point in spacetime to another. Certain sci-fi works introduce “telepathy...

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...Abstract We explore Yang’s Noncommutative space-time algebra (involving two length scales) within the context of QM defined in Noncommutative spacetimes and the holographic area-coordinates algebra in Clifford spaces. Casimir invariant wave equations corresponding to Noncommutative coordinates and momenta in d-dimensions can be recast in terms of ordinary QM wave e...

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...ue and fnd modifed Newtonian dynamics induced by the Yang’s Noncommutative Spacetime algebra involving a lower and upper scale in Nature. 1 Introducti... ...(Planck scale) attainable in nature. A scale relativistic theory involving spacetime resolutions was developed long ago by Nottale where the Planck sc... ...r the origins of modifed Newtonian dynamics based on Yang’s Noncommutative Spacetime algebra involving a lower and upper scale [136] that has been rev... ...56] within the context of the Finsler geometry of the 8D tangent bundle of spacetime and written the generalized 8D gravitational equations that reduc... ...ulting from a Phase-Space change of coordinates in the cotangent bundle of spacetime. 2.1 Planck-scale Areas are invariant under acceleration boosts H... ...nly if,m 2 g 2 <m 2 P a 2 in the same fashion that the action in Minkowski spacetime is real-valued if, and only if,v 2 <c 2 . This is the physical re... ... 25 Volume 1 PROGRESS IN PHYSICS April, 2005 of the Yang’s Noncommutative spacetime algebra comprised of two scales, the minimal Planck scale L p (re... ...he effects of the maximal acceleration of a test particle in Schwarzschild spacetimes. The components of the non-covariant four-acceleration d 2 x μ /... ...tion d 2 x μ /dτ 2 of a test particle of massm moving in a Schwarz- schild spacetime background can be obtained in a straight- forward fashion after u...

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...hwarzschild” solution, r is taken both as a coordinate and a radius in the spacetime manifold of the point-mass. In my previous papers [1, 2] on the g... ... noted. In the context of (M g ,g g )r is a Euclidean parameter in the fat spacetime manifold (M s ,g s ) of Special Relativity. Insofar as the point-... ...itions on the real number line, the radial line in (M s ,g s ), not in the spacetime manifold of the gravitational feld, (M g ,g g ). The gravitationa... ...two points r, r 0 ∈ into (M g ,g g ). Thus, r becomes a parameter for the spacetime manifold associated with the gravitational feld. If R p ∈(M g ,g ... ... 2 The basic geometry of the simple point-mass The usual metric g s of the spacetime manifold (M s ,g s ) of Special Relativity is, ds 2 =dt 2 −dr 2 −... ...to the mainstream claims on (18). The value of ther-parameter of a certain spacetime event depends upon the coordinate system chosen. However, the pro... ...s. Consider a great circle centred at the point-mass and passing through a spacetime event. Its circumference is measured atχ. Dividingχ by 2π gives, ... ...)). Putting χ 2π = p C n (D(r)) into (21) gives the proper ra- dius of the spacetime event, R p (r)= r χ 2π χ 2π −α +αln q χ 2π + q χ ... ...α n 1 n , so |r−r 0 |= h χ 2π n −α n i 1 n . Thusr for any particular spacetime event depends upon the arbitrary values n and r 0 , which establi...

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...s and energies that they assimilated). Singularities imply a tear in the fabric of spacetime and the ubiquity of these creature completely annuls i... ...string Theories Strings Strings are described as probabilistic ripples (waves) of spacetime (NOT in a quantum field) propagating through spacetime... ...ings collapse (are resolved) and "stabilize" as folds, wrinkles, knots, or flaps of spacetime. The vibrations of strings in string theories are thei... ...atically interfaced. Macro-objects (dealt with in the GRT) tend to create infinite spacetime curvature when infinitely compressed (to become point ... ...ds, particles are excitatory modes of these strings, which otherwise only float in spacetime. The string tension being related to its length, strin... ... (the "p" stands for the number of spatial dimensions of the manifold). Thus, if a spacetime has 11 dimensions - of which 10 are spatial - it would...

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... To progress further, I must return to the idea of a four-dimensional spacetime continuum introduced in 1908 by the Russian/German geometer He... ... of Fig.34, the base of the tank represents the familiar four dimensional spacetime we inhabit in the physical, whereas the full volume of the tank... ...mpty space, whereas the Ricci tensor measures the degree of distortion of spacetime in the presence of mass. It is the Conformal tensor which w...

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...n some of its mathematical properties? ... And that the characterization "spacetime continuum" is sadly misleading to many students of science - even... ...agram and geometric rotation (a transformation of visual perception) of a spacetime coordinate system, in which length does not shrink, it simply rot...

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...s and energies that they assimilated). Singularities imply a tear in the fabric of spacetime and the ubiquity of these creature completely annuls i... ...ative approach. Strings Strings are described as probabilistic ripples (waves) of spacetime (NOT in a quantum field) propagating through spacetime... ...ings collapse (are resolved) and "stabilize" as folds, wrinkles, knots, or flaps of spacetime. The vibrations of strings in string theories are the... ...atically interfaced. Macro- objects (dealt with in the GRT) tend to create infinite spacetime curvature when infinitely compressed (to become point ... ...ds, particles are excitatory modes of these strings, which otherwise only float in spacetime. The string tension being related to its length, strin... ... (the "p" stands for the number of spatial dimensions of the manifold). Thus, if a spacetime has 11 dimensions - of which 10 are spatial - it would...

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...s and energies that they assimilated). Singularities imply a tear in the fabric of spacetime and the ubiquity of these creature completely annuls i... ...ative approach. Strings Strings are described as probabilistic ripples (waves) of spacetime (NOT in a quantum field) propagating through spacetime... ...ings collapse (are resolved) and "stabilize" as folds, wrinkles, knots, or flaps of spacetime. The vibrations of strings in string theories are the... ...atically interfaced. Macro- objects (dealt with in the GRT) tend to create infinite spacetime curvature when infinitely compressed (to become point ... ...ds, particles are excitatory modes of these strings, which otherwise only float in spacetime. The string tension being related to its length, strin... ... (the "p" stands for the number of spatial dimensions of the manifold). Thus, if a spacetime has 11 dimensions - of which 10 are spatial - it would...

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...who once lived on Earth. Both Christ and Buddha are totally outside of the spacetime continuum. In purely human terms the closest we can come to this ...