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cond-mat/0606791v2 | Room-temperature delayed giant magnetodielectric effects observed in Bi4Fe2TiO12 film | This letter reports our experimental results on magnetic-field-induced aftereffects in solution derived Bi4Fe2TiO12 film, in which e' decreases as much as 600 times after treated in a 5T magnetic field as that of the pristine one. The phenomena are explained by an unusual spin-orbital coupling in film, where strong magnetic field provides drive force for spin polarized electrons of electrode to enter film, so as to form a ferromagnetic orbital state, increase the relaxation time of defect dipoles and then produce giant magnetodielectric effects. This process is reversible just by applying a opposite 0.5T magnetic field. Our findings have potential applications on magnetic fabrication of nanopatterns somehow to evade nanohazard, as well as on integraged phononic or photonic crystals on chip. | Materials Science (cond-mat.mtrl-sci) | This explanation of the experimental data was not correct | factual/methodological/other critical errors in manuscript | 14,306 |
cond-mat/0609339v4 | What is the highest Tc for phonon mediated superconductivity? | We suggest that the high-temperature superconductivity is attributed to the director-roles of van Hove singularity between electron-electron interaction and electron-phonon interaction. Difference between the critical temperature and pairing temperature is presented, and the Fermi arc, d-wave symmetry and poor conductor etc are discussed. Particularly, non-s-wave symmetry is predicted to have the highest Tc for superconductors. | Superconductivity (cond-mat.supr-con) | Now we believe that the superconducting transition is not due to the BEC, thus we withdrawn this paper | factual/methodological/other critical errors in manuscript | 14,308 |
cond-mat/0701210v2 | Toroidal-Moment-Possessing Quantum Hall Systems: a Quantum Intrusion into Macroscopic World | The face of physics is a function of scale. This widespread phrase is considered as a universal truth because it reflects the experience of generations of physicists. Starting from primary school we know that the physics of macroscopic solid state systems rests on the notion that these systems consist of a great number of spatially periodic microscopic building blocks. Thus, it seems to be quite logic to expect the same properties from geometrically identical macroscopic regions of the same macroscopic system. The above statement is quite general and it is also known to be valid for the systems of a reduced dimensionality in the direction, along which they are macroscopic. However, in this work we report on a macroscopic system, which does not obey the above postulates and demonstrates specific quantum behaviour on a macroscopic length. It is conventional quantum Hall system possessing an asymmetric confining potential in presence of a tilted quantizing magnetic field. In the direction, along which the system is macroscopic, it demonstrates the following unusual properties: (i) a spatially-dependent response on a spatially-homogeneous photo-excitation that implies spontaneous breaking of translational symmetry (ii) high sensitivity of a local photo-response to the conditions of macroscopically remote local regions (iii) excitation of whole system through the excitation of its local region without an appropriate energy transfer within the system. All these properties imply the electron coherent length to be as high as the macroscopic sample length. We demonstrate that the effect revealed opens the door for an energy-free quantum communication on macroscopic distances. | Mesoscale and Nanoscale Physics (cond-mat.mes-hall) | This paper has been withdrawn by the author due to significant loopholes in the proposed interpretation. | factual/methodological/other critical errors in manuscript | 14,310 |
cond-mat/0703473v3 | Anomalous Scattering Extension to Interface Structure Determination COherent Bragg ROd Analysis (COBRA) | A method to include anomalous scattering in electron density modeling methods, specifically COBRA, is presented. | Materials Science (cond-mat.mtrl-sci) | Withdrawn due to limited applicability of method | factual/methodological/other critical errors in manuscript | 14,311 |
cond-mat/0703772v2 | Dynamical structure factor of random antiferromagnetic Heisenberg spin chains | Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the crossover behavior in the dynamical properties from pure chain to disorder-dominated random singlet phase due to bond randomness. For the distribution corresponding to the infinite randomness fixed point, $S(k,\omega)$ develops broad non-spinon excitations as well as the random-singlet peak near $(k, \omega) = (\pi, 0)$, consistent with the known results obtained by the real-space renormalization group method. For weak disorder, however, we find clear signature of spinon excitations, reminiscent of pure spin chains, blurred by disorder. We discuss the implication for experiments on random-bond antiferromagnetic spin chains, realizable, e.g., in BaCu$_2$(Si$_x$Ge$_{1-x}$)$_2$O$_7$. | Strongly Correlated Electrons (cond-mat.str-el) | The paper has been withdrawn by the author due to the crucial error in maximum entropy method calculation | factual/methodological/other critical errors in manuscript | 14,312 |
cond-mat/9711190v2 | Nonequilibrium Phase Transition in the Kinetic Ising model: Absence of tricritical behaviour in presence of impurities | The nonequilibrium dynamic phase transition, in the two dimensional site diluted kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The projections of dynamical phase boundary (surface) are drawn in the planes formed by the dilution and field amplitude and the plane formed by temperature and field amplitude. The tricritical behaviour is found to be absent in this case. | Condensed Matter (cond-mat) | This paper is withdrawn due to some errors | factual/methodological/other critical errors in manuscript | 14,313 |
cs/0509059v3 | On an authentication scheme based on the Root Problem in the braid group | Lal and Chaturvedi proposed two authentication schemes based on the difficulty of the Root Problem in the braid group. We point out that the first scheme is not really as secure as the Root Problem, and describe an efficient way to crack it. The attack works for any group. | Cryptography and Security (cs.CR) | This paper has been withdrawn by the author. One of the claims is incorrect as written. We are working on correcting and generalizing it. This will be published in another paper | factual/methodological/other critical errors in manuscript | 14,319 |
cs/0601132v2 | A Study on the Global Convergence Time Complexity of Estimation of Distribution Algorithms | The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this paper we compute 1) some upper bounds on the number of iterations required for global convergence of EDA 2) the exact number of iterations needed for EDA to converge to global optima. | Artificial Intelligence (cs.AI) | Old paper with potential mistake | factual/methodological/other critical errors in manuscript | 14,320 |
gr-qc/0005039v4 | On Proper Time in General Relativity | It is shown how the relation $ds=cd\tau$ between the proper distance $s$ and the proper time $\tau$ is obtained in general relativity. A general relation in curved spacetime between $d\tau$ and $dt$ is given. This relation reduces to the special relativistic one for flat spacetime. | General Relativity and Quantum Cosmology (gr-qc) | This paper was written in a rush when M. O. Taha was very sick. [REDACTED-NAME] was defined erroneously in the original submission. The revised version does not have anything new and the paper is to be withdrawn | factual/methodological/other critical errors in manuscript | 14,334 |
gr-qc/0103001v2 | Does the charge of a body reduce its gravitational field? | One can get the impression from the Reissner-Nordstrom solution of Einstein's equations that the charge of a body reduces its gravitational field. This looks surprising since the energy of the electrostatic field surrounding a charged body, must contribute positively, as an additional, "electromagnetic mass", to the gravitational field produced by the body. We resolve this puzzle by showing that the mass M in the Reissner-Nordstrom solution is not the "bare mass" of the body, but its "renormalized mass". I. e. M, in addition to the bare mass, includes the total electromagnetic mass of the body. But at finite distances from the body only a part of the electromagnetic mass contributes to the gravitational field. That is why the gravity of a charged body is determined by the quantity smaller than M. | General Relativity and Quantum Cosmology (gr-qc) | This paper has been withdrawn by the author due to necessity of correcting equations and improving methodology. Also, it looks that the result is not new | factual/methodological/other critical errors in manuscript | 14,336 |
gr-qc/0412058v2 | Black holes: a prediction of theory or phantasy? | We argue for black holes do not represent a strict consequence of general relativity. | General Relativity and Quantum Cosmology (gr-qc) | Eq.(5) gives the strict inequality for a velocity of massive particle. It is not correct because the observer on the horizon of black hole is light-like, hence, the corresponding relative velocity reaches the unit limit. Second, the trajectory satisfies the Hamilton-Jacobi equation, that means that the massive particle is always on the mass-shell. The conclusion (page 6) is erroneous | factual/methodological/other critical errors in manuscript | 14,339 |
gr-qc/0503003v22 | Studies on Some Aspects of the Fundamental Theory of Everything | What happens to the entropy increase principle as the Universe evolve to form the big-crunch singularity? What happens to the uncertainity relations along the process of gravitational collapses? What is the quantum mechanical description of a Radon atom in a rigid box when the distance of consecutive nodes and antinodes of $\psi$ is equal to or less than the diameter of the atom? What is the position-space wave function of two finite volume massive bosons if we take contact interaction into account? How a photon produce electron-positron pair with finite volume concentrate rest masses? What are the charges of the electron-positron pairs forming loops in the vacuum? How two particles with three-momentums $k_1, k_2$ $(k_1 \neq k_2)$ produced to form a loop at a space-time point always arrive at another spacial point simultaneously? What is the microscopic explanation in terms of particle exchanges of the force in the Casimir effect? What is the mechanism of the collapse of the momentum-space wave function of a particle knocking out an elctron from an atom? What is meant by $|\Psi> = {c_1 (t)}|\Psi_{U^{238}}> + {c_2 (t)}|\Psi_{Th^{234}}> ~?$ Quantum mechanically the region between the rigid walls (which is equiprobable in classical mechanics) is non-homogeneous for a particle in a rigid box ! The large scale structure of the Universe is homogeneous. | General Relativity and Quantum Cosmology (gr-qc) | This article is withdrawn due to some mistakes in Appendix.D The relevant discussions can be found in the following references: (1)INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, Volume:76,No.2 (2012), pp.251. (2)INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, Volume:76,No.2 (2012), pp.207. (3) arXiv:physics/0605061. (4) arXiv:0902.1601 | factual/methodological/other critical errors in manuscript | 14,342 |
gr-qc/0504083v75 | Comments on Space-Time | What happens to the entropy increase principle as the Universe evolve to form the big-crunch singularity? What happens to the uncertainity relations along the process of gravitational collapses? What is the quantum mechanical description of a Radon atom in a rigid box when the distance of consecutive nodes and antinodes of $\psi$ is equal to or less than the diameter of the atom? What is the position-space wave function of two finite volume massive bosons if we take contact interaction into account? How a photon produce electron-positron pair with finite volume concentrate rest masses? What are the charges of the electron-positron pairs forming loops in the vacuum? How two particles with three-momentums $k_1, k_2$ $(k_1 \neq k_2)$ produced to form a loop at a space-time point always arrive at another spacial point simultaneously? What is the microscopic explanation in terms of particle exchanges of the force in the Casimir effect? What is the mechanism of the collapse of the momentum-space wave function of a particle knocking out an elctron from an atom? What is meant by $|\Psi> = {c_1 (t)}|\Psi_{U^{238}}> + {c_2 (t)}|\Psi_{Th^{234}}> ~?$ Quantum mechanically the region between the rigid walls (which is equiprobable in classical mechanics) is non-homogeneous for a particle in a rigid box. A photon can not reproduce Maxwell's equations apart from moving with velocity $c$. How can a process involving only a few photons be described starting from the Maxwell's equations? The large scale structure of the Universe is homogeneous. What is the screen in our brains to view objects, as they are, of sizes larger than our brains? | General Relativity and Quantum Cosmology (gr-qc) | This article is withdrawn due to some errors in Appendix:B and App.C. All the relevant discussions can be found in the references mentioned below: (1)INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, Volume:76,No.2 (2012), pp.251. (2)INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, Volume:76,No.2 (2012), pp.207. (3) arXiv:physics/0605061. (4) arXiv:0902.1601 | factual/methodological/other critical errors in manuscript | 14,343 |
gr-qc/0610157v10 | Theoretical corrections on scalar gravitational waves | Following some ideas in the Landau book, some corrections about errors in the old literature on scalar gravitational waves are given and discussed. Even if such errors can be considered not important from the point of view of observations, because they do not alter the interferometric response function for scalar gravitational waves, the presented analysis is due and very important for a sake of completeness and for a better understanding of the linearized theory of Scalar-Tensor Gravity | General Relativity and Quantum Cosmology (gr-qc) | This paper has been withdrawn by the author due to errors in the computations | factual/methodological/other critical errors in manuscript | 14,345 |
gr-qc/0703045v26 | Conserving Integrals in [Non-]Metric Theories of Gravitation | In this work I present location to first mentioning to result of Robert Geroch Preprint deals with conserving quantities of metric gravitational theories They are constructed from Killing vector fields (if any exists) and symmetric tensors of arbitrary rank with vanishing divergence I also suggest alternative approach by introducing spinorial fields allowing to construct conserved integrals of energy-momentum etc | General Relativity and Quantum Cosmology (gr-qc) | 10 pages, 0 figures, corrections Due to important errors in mathematics or codes preprint (versions 8 -- 25 at least)is withdrawn by the author. is withdrawn | factual/methodological/other critical errors in manuscript | 14,347 |
gr-qc/0703110v3 | Gravitational perturbations of an ultrastatic wormhole | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | General Relativity and Quantum Cosmology (gr-qc) | This paper has been withdrawn by the author due to a crucial sign error in equation 1 | factual/methodological/other critical errors in manuscript | 14,348 |
gr-qc/9510018v4 | Photon propagation in a stationary warp drive space-time | We simplify the warp drive space-time so that it becomes stationary and the distorsion becomes one-dimensional and static. We use this simplified warp drive space-time as a background for a photon field. We shall especially use the Drummond\&Hathrell action in order to investigate the velocity effects on photons in this background. Finally, we discuss the limitations of this model. | General Relativity and Quantum Cosmology (gr-qc) | The model and the conclusions in the paper are not accurate! | factual/methodological/other critical errors in manuscript | 14,349 |
hep-ph/0206107v2 | Spontaneous Symmetry Breakings in the Linear Sigma Model at finite baryonic density | The linear sigma model with pions and sigma coupled to baryons and a (massive) gauge vector meson is considered for the description of a finite baryonic density system. The stability equation for the bound system is studied in the homogeneous limit considering quantum fluctuations for the scalar and pseudo scalar fields within a variational method with truncations. Nearly exact solutions for the stability equation which also solve the field equations are sought semi-analytically. Bosonic fields are found to have non zero expected classical values at finite density corresponding to condensates of dynamical symmetry breakings. The two components of baryon field, neutron and proton for example, acquire different masses due to the isospin symmetry breaking and these states may even oscillate in the medium. There is a non trivial solution for the (massive) vector meson field indicating the occurrence of a gauge dynamical symmetry breaking at finite density typical of a superconductor. | High Energy Physics - Phenomenology (hep-ph) | Withdrawn due to limited and wrong discussions | factual/methodological/other critical errors in manuscript | 14,353 |
hep-ph/0703309v5 | A new perspective on gluon distribution at small x | The corrections of the gluon fusion to the BFKL equation in a unified partonic framework are studied. This modified BFKL equation predicts a stronger shadowing, which suppresses the gluon density and even leads to the gluon disappearance below the saturation region. We suggest that this unexpected effect is caused by a possible chaotic solution of the new equation. | High Energy Physics - Phenomenology (hep-ph) | This paper has been withdrawn by the author due to the input Eq. (4.7) is incorrect and all results Fig. 13-20 need reconsideration | factual/methodological/other critical errors in manuscript | 14,357 |
hep-th/0303129v2 | Renormalization of Yang-Mills fields in the light-front without non-local terms | The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this happened because of a deficiency in the gauge fixing procedure that results in an incorrect propagator and propose a cure for it by considering the {\em correct} propagator for the gauge potential. We explicitly show that the use of our correct propagator in the light-front leads to a vacuum polarization tensor at the one-loop level that is free of non-local terms. | High Energy Physics - Theory (hep-th) | 7 pages. This paper has been withdrawn by the author due to an error in the computation of the vacuum polarization tensor | factual/methodological/other critical errors in manuscript | 14,358 |
hep-th/0303248v2 | Shrinking D-Strings Expanding onto a Hypertube | A solution to the BI action describing an expanded D3-brane is considered. The configuration is not supersymmetric but is supported against collapse by the Poynting vector. In the uniform magnetic field limit, the brane magnetic charge grows without limit while the energy and the radius of the brane remain finite. In this limit the brane consists of a large number of small D-strings forming a hypertube and kept in equilibrium by the electric flux along the hypertube. | High Energy Physics - Theory (hep-th) | This paper has been withdrawn by the authors. withdrawn by the author due to an unjustified conjection | factual/methodological/other critical errors in manuscript | 14,359 |
math-ph/0205034v2 | Coherent state triplets and their inner products | It is shown that if H is a Hilbert space for a representation of a group G, then there are triplets of spaces F_H, H, F^H, in which F^H is a space of coherent state or vector coherent state wave functions and F_H is its dual relative to a conveniently defined measure. It is shown also that there is a sequence of maps F_H -> H -> F^H which facilitates the construction of the corresponding inner products. After completion if necessary, the F_H, H, and F^H, become isomorphic Hilbert spaces. It is shown that the inner product for H is often easier to evaluate in F_H than F^H. Thus, we obtain integral expressions for the inner products of coherent state and vector coherent state representations. These expressions are equivalent to the algebraic expressions of K-matrix theory, but they are frequently more efficient to apply. The construction is illustrated by many examples. | Mathematical Physics (math-ph) | 33 pages, RevTex (Latex2.09) This paper is withdrawn because it contained errors that are being corrected | factual/methodological/other critical errors in manuscript | 14,365 |
math-ph/0407067v5 | The Global Embedding Problem of Semi-Riemannian into Einstein Manifolds | We show that every analytic semi-Riemannian manifold can be isometrically embeddded into an Einstein maifold in co-dimension one. | Mathematical Physics (math-ph) | There has been discovered a misconseption which does not allow the solvability of the algebraic systems arising in the proof without further topological assumptions on the manifold | factual/methodological/other critical errors in manuscript | 14,366 |
math-ph/0701058v3 | Optimal bounds and blow-up criteria for a semi-linear accretive wave equation | In this paper we consider the semi-linear wave equation: $u_{tt}-\Delta u=u_t|u_t|^{p-1}$ in $\mathbb{R}^N$ where $1<p\leq 1+\frac2{N-1}$ and $p<5$ if N=1, $p\neq 3$ if N=2. We give an energetic criteria and optimal lower bound for blowing up solutions of this equation. | Mathematical Physics (math-ph) | We withdraw this paper since a minor calculation error was made at the very beginning of the paper | factual/methodological/other critical errors in manuscript | 14,371 |
math/0201293v3 | Groups of intermediate growth | I describe a class of groups acting on rooted trees. The original claim was that all have intermediate word growth between polynomial and exponential. The argument constructs a functional equation on the growth formal power series, and derives the growth properties from its analytical behaviour. Unfortunately, there are substantial mistakes in the proofs, so the main claims should be considered unsettled. In particular, it is still an open problem whether the growth of the Gupta-Sidki group is intermediate or exponential. | Group Theory (math.GR) | There are substantial mistakes in this article; some of its claims are as yet open | factual/methodological/other critical errors in manuscript | 14,386 |
math/0208180v2 | Torelli's theorem for high degree symmetric products of curves | We show that two smooth projective curves C_1 and C_2 of genus g which have isomorphic symmetric products are isomorphic unless g=2. This extends a theorem of Martens. | Algebraic Geometry (math.AG) | D. Huybrechts has pointed out an error in the proof when g = 2. Also, we were recently informed that the result in the case g > 2 was proved earlier by Ciliberto and Miranda in "On the symmetric products of a curve", Arch. Math. (61), 285-290, 1993 | factual/methodological/other critical errors in manuscript | 14,391 |
math/0301139v3 | Relative isoperimetric inequalities for Lagrangian disks | We prove a relative isoperimetric inequalities for Lagrangian half disks in $\mathbb{C}^2$ with respect to a Lagrangian plane, or a complex plane, or a union of any two of Lagrangian or complex planes that intersect transversally at the origin. | Differential Geometry (math.DG) | This paper is incorrect. It is withdrawn by the author | factual/methodological/other critical errors in manuscript | 14,392 |
math/0301223v2 | A remark on a theorem of Schoen and Wolfson | Let $ l : \Sigma \to X$ be a weakly Lagrangian map of a compact orientable surface $ \Sigma$ in a Kähler surface $ X$ which is area minimizing in its homotopy class of maps in $ W^{1,2}(\Sigma, X)$, the Sobolev space of maps of square integrable first derivative. Schoen and Wolfson showed such $ l$ is Lipschitz, and it is smooth except at most at finitely many points of Maslov index 1 or -1. In this note, we observe if in addition c_1(X)[l]=0, $ l$ is smooth everywhere. Here $ c_1(X)$ is the first Chern class of $ X$. | Differential Geometry (math.DG) | This paper is incorrect. It is withdrawn by the author | factual/methodological/other critical errors in manuscript | 14,393 |
math/0302108v2 | Upgrading the Theorem on Local Ergodicity | We prove here that in the Theorem on Local Ergodicity for Semi-Dispersive Billiards (proved by N. I. Chernov and Ya. G. Sinai in 1987) the condition of the so called ``Ansatz'' can be dropped. That condition assumed that almost every singular phase point had a hyperbolic trajectory after the singularity. Having this condition dropped, the cited theorem becomes much stronger and easier to apply. At the end of the paper two immediate corollaries of this improvement are discussed: One of them is the (fully hyperbolic) Bernoulli mixing property of every hard disk system (D=2), the other one claims that the ergodic components of every hard ball system ($D\ge3$) are open. | Dynamical Systems (math.DS) | The paper is withdrawn due to an error | factual/methodological/other critical errors in manuscript | 14,395 |
math/0303018v11 | Improvement of the Theorem on Local Ergodicity | We prove here that in the Theorem on Local Ergodicity for Semi-Dispersive Billiards (proved by N. I. Chernov and Ya. G. Sinai in 1987) the recently added condition (by P. Bálint, N. Chernov, D. Szász, and I. P. Tóth, in order to save this fundamental result) on the algebraic character of the smooth boundary components of the configuration space is unnecessary. Having saved the theorem in its original form by using additional ideas in the spirit of the initial proof, the result becomes stronger and it applies to a larger family of models. | Dynamical Systems (math.DS) | The paper is withdrawn due to an error | factual/methodological/other critical errors in manuscript | 14,396 |
math/0310026v2 | Generic vanishing, gaussian maps, and Fourier-Mukai transform | In the first part of this paper we prove a vanishing criterion for higher direct images of projective families of line bundles on a Cohen-Macaulay variety X. The result involves certain first-order deformations of certain curves on X, and makes essential use of the notion of global co-gaussian maps, a generalization of Wahl's gaussian maps. In the second part we apply the criterion above, combined with Fourier-Mukai transform on abelian varieties, to prove an algebraic version of Green-Lazarsfeld's Generic Vanishing Theorem. In fact we prove a stronger result concerning higher direct images of Poincaré line bundles, which -- in the compact Kähler setting -- was conjectured by Green and Lazarsfeld and was recently proved, by completely different methods, by Hacon ( math.AG/0308198 ) | Algebraic Geometry (math.AG) | Paper withdrawn due to a mistake in Lemma 6.3 | factual/methodological/other critical errors in manuscript | 14,401 |
math/0401033v3 | T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies | We check that there exists a model structure on the category of flows whose weak equivalences are the S-homotopy equivalences. As an application, we prove that the generalized T-homotopy equivalences preserve the branching and merging homology theories of a flow. The method of proof is completely different from the one of the third part of this series of papers. | Algebraic Topology (math.AT) | The material is obsolete. The good h-model structure of flows is constructed in arXiv:1904.04159 and the section about the branching and merging homologies contains a mistake | factual/methodological/other critical errors in manuscript | 14,404 |
math/0403382v3 | Divisorial contractions of 3-folds | In this paper the three-dimensional divisorial contractions $f\colon Y\to (X\ni P)$ are classified provided that $\Exc f=E$ is an irreducible divisor, $f(E)=P$, the variety $Y$ has canonical singularities and $(X\ni P)$ is a toric terminal singularity. | Algebraic Geometry (math.AG) | This paper has been withdrawn by the author due to errors in the proof of assertions | factual/methodological/other critical errors in manuscript | 14,408 |
math/0404260v3 | Purely log terminal blow-ups of three-dimensional terminal singularities | The purely log terminal blow-ups of three-dimensional terminal toric singularities are described. | Algebraic Geometry (math.AG) | This paper has been withdrawn by the author due to errors in the proof of assertions | factual/methodological/other critical errors in manuscript | 14,409 |
math/0407368v2 | The Boltzmann-Sinai Ergodic Hypothesis in Two Dimensions (Without Exceptional Models) | We consider the system of $N$ ($\ge2$) elastically colliding hard balls of masses $m_1,...,m_N$ and radius $r$ in the flat unit torus $\Bbb T^\nu$, $\nu\ge2$. In the case $\nu=2$ we prove (the full hyperbolicity and) the ergodicity of such systems for every selection $(m_1,...,m_N;r)$ of the external geometric parameters, without exceptional values. In higher dimensions, for hard ball systems in $\Bbb T^\nu$ ($\nu\ge3$), we prove that every such system (is fully hyperbolic and) has open ergodic components. | Dynamical Systems (math.DS) | Paper withdrawn due to a substantial error | factual/methodological/other critical errors in manuscript | 14,414 |
math/0411630v5 | Global Embedding of Analytic Branes into Einstein MD Bulk Cosmology | Extends results of math-ph/0407067 | Differential Geometry (math.DG) | There has been discovered an error in math-ph/0407067 | factual/methodological/other critical errors in manuscript | 14,419 |
math/0501043v3 | Conifold transitions and Mori theory | We show there is a symplectic conifold transition of a projective 3-fold which is not deformation equivalent to any Kaehler manifold. The key ingredient is Mori's classification of extremal rays on smooth projective 3-folds. It follows that there is a Lagrangian sphere in a projective variety which is not the vanishing cycle of any Kaehler degeneration, answering a question of Donaldson. | Symplectic Geometry (math.SG) | This paper has been withdrawn because of a critical error in Corollary 7 (vanishing of the square of the first Chern class need not be preserved by the surgery). This error invalidates the proofs of both the main results. In particular, Donaldson's question remains open | factual/methodological/other critical errors in manuscript | 14,421 |
math/0503129v4 | On the Global Embedding of Spacetime into Singular ES Einstein Manifolds: Wormholes | Extends results of math-ph/0407067 | Differential Geometry (math.DG) | There has been discovered an error in math-ph/0407067 | factual/methodological/other critical errors in manuscript | 14,425 |
math/0503258v4 | Global Embedding of Analytic Branes into ES Einstein MD Bulk Cosmology: Wormholes | Extends results of math-ph/0407067 | Differential Geometry (math.DG) | There has been discovered an error in math-ph/0407067 | factual/methodological/other critical errors in manuscript | 14,426 |
math/0505023v2 | Transverse doubled knots and clasp disks | We analyze transverse doubled knots in the standard contact 3-space by using spanned clasp disks. As applications, we will estimate their self-linking number and furthermore we will show that in many cases, transverse twist knots with the maximal self-linking number are unique up to transverse isotopy. | Geometric Topology (math.GT) | This paper has been withdrawn by the author due to a crucial gap in the proof of the main theorem | factual/methodological/other critical errors in manuscript | 14,429 |
math/0505297v3 | On transverse Hopf links | We classify transverse Hopf links in the standard contact 3-space up to transverse isotopy in terms of their components' self-linking number. | Geometric Topology (math.GT) | This paper has been withdrawn by the author due to a crucial gap in the proof of the main theorem | factual/methodological/other critical errors in manuscript | 14,431 |
math/0505520v6 | First cohomology and local rigidity of group actions | Given a topological group $G$, and a finitely generated group $\G$, a homomorphism $\pi:\G{\to}G$ is {\em locally rigid} if any nearby by homomorphism $\pi'$ is conjugate to $\pi$ by a small element of $G$. In 1964, Weil gave a criterion for local rigidity of a homomorphism from a finitely generated group $\G$ to a finite dimensional Lie group $G$ in terms of cohomology of $\G$ with coefficients in the Lie algebra of $G$. Here we generalize Weil's result to a class of homomorphisms into certain infinite dimensional Lie groups, namely groups of diffeomorphism compact manifolds. This gives a criterion for local rigidity of group actions which implies local rigidity of: $(1)$ all isometric actions of groups with property $(T)$, $(2)$ all isometric actions of irreducible lattices in products of simple Lie groups and certain more general locally compact groups and $(3)$ a certain class of isometric actions of a certain class of cocompact lattices in SU(1,n). | Differential Geometry (math.DG) | There is an error in the proof of Proposition 3.7. Proposition 3.7 is needed for the proof of the main theorem | factual/methodological/other critical errors in manuscript | 14,432 |
math/0506476v7 | On coding with Feller contractive Markov systems | We continue development of the theory of contractive Markov systems initiated in \cite{Wer1}. In this paper, we construct the coding map for Feller contractive Markov systems. This allows us to prove a generalization of Ledrappier's Theorem \cite{Le} and to show the existence of observable invariant measures for Feller contractive Markov system. | Dynamical Systems (math.DS) | This paper is withdrawn by the author, as some of the results in it are based on a wrong argument, and it has been overwritten in [I. Werner, Equilibrium states and invariant measures for random dynamical systems, arXiv:1203.6432] | factual/methodological/other critical errors in manuscript | 14,434 |
math/0508024v4 | Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions | We show that every volume preserving codimension one Anosov flow on a closed Riemannian manifold of dimension greater than three admits a global cross section and is therefore topologically conjugate to a suspension of a linear toral automorphism. This proves a conjecture of Verjovsky from the 1970's in the volume preserving case. | Dynamical Systems (math.DS) | This paper has been withdrawn by the author due the fact that Theorem 3.1 is false. We apologize for the tardiness of this withdrawal | factual/methodological/other critical errors in manuscript | 14,436 |
math/0509319v2 | The Borel-Serre Compactification for the Classifying Space of Hodge Structures | A 1-parameter variation of Hodge structures corresponds to a holomorphic, horizontal, locally liftable map into a classifying space of Hodge structures. In this paper it is shown that such a map has a limit in the reductive Borel-Serre compactification of the classifying space. The boundary component in which the limit lies is a union over possible polarizations of classifying spaces of Hodge structures on the primitive parts. It is discussed which boundary components can contain such limit points. | Algebraic Geometry (math.AG) | Errors in article | factual/methodological/other critical errors in manuscript | 14,440 |
math/0510022v3 | The Boltzmann-Sinai Ergodic Hypothesis in Full Generality (Without Exceptional Models) | We consider the system of $N$ ($\ge2$) elastically colliding hard balls of masses $m_1,...,m_N$ and radius $r$ on the flat unit torus $\Bbb T^\nu$, $\nu\ge2$. We prove the so called Boltzmann-Sinai Ergodic Hypothesis, i. e. the full hyperbolicity and ergodicity of such systems for every selection $(m_1,...,m_N;r)$ of the external geometric parameters, without exceptional values. The present proof does not use at all the formerly developed, rather involved algebraic techniques, instead it employs exclusively dynamical methods and tools of geometric analysis. | Dynamical Systems (math.DS) | The paper is withdrawn due to an error | factual/methodological/other critical errors in manuscript | 14,442 |
math/0510056v2 | An Introduction to Zoli Numbers | There have been many theories about the paradoxes of numbers, but this is far and away more paradoxical than most. In this paper we will present the Zoli Numbers which have some innovative characteristics. The basic concept of these numbers is that they don't follow strictly any Mathematical rule. They are called Zoli from the names of Zotos and Litke. We are going to see some examples with the Zoli Programming Language and reveal the connection with other mathematical topics. | General Mathematics (math.GM) | the data I relied on is no longer valid | factual/methodological/other critical errors in manuscript | 14,443 |
math/0510057v2 | Cryptography and Encryption | In cryptography, encryption is the process of obscuring information to make it unreadable without special knowledge. This is usually done for secrecy, and typically for confidential communications. Encryption can also be used for authentication, digital signatures, digital cash e.t.c. In this paper we are going to examine and analyse all these topics in detail. | Category Theory (math.CT) | the data I relied on is no longer valid | factual/methodological/other critical errors in manuscript | 14,444 |
math/0602197v8 | Gauss-Manin connections and Lie-Rinehart cohomology | In this note a generalized Gauss-Manin connection is constructed for cohomology of Lie-Rinehart algebras, generalizing the classical Gauss-Manin connection. As an application a Gysin-map between K-groups of flat connections is constructed. We also calculate some examples of Gauss-Manin connections on hypersurface singularities. | Algebraic Geometry (math.AG) | Tha paper contained several mistakes and I chose to withdraw it | factual/methodological/other critical errors in manuscript | 14,450 |
math/0602412v4 | Wilson's Theorem for Finite Fields | In this short note, we introduce an analogue of Wilson's theorem for all nonzero elements $a_1,a_2,...,a_{q-1}$ of a finite filed $\mathbb{F}$ with $|\mathbb{F}|=q\geq 3$, as follows: $$ \sum_{1\leq i_1< i_2<...< i_k\leq q-1}a_{i_1}a_{i_2}... a_{i_k}=\left\lfloor\frac{k}{q-1}\right\rfloor(-1)^q\hspace{10mm}(k=1,2,..., q-1), $$ which the left hand side of above formula is the $k-$th elementary symmetric polynomial evaluated at $a_1,a_2,...,a_{q-1}$. Specially, letting $\mathbb{F}=\mathbb{Z}_p$ with $p\geq 3$, reproves Wilson's theorem and yields some Wilson type identities. Finally, we obtain an analogue of Wolstenholme's theorem for nonzero elements of a finite filed. | Number Theory (math.NT) | Including wrong results! | factual/methodological/other critical errors in manuscript | 14,451 |
math/0603282v3 | Hamilton-Arnold Chord And Seifert Conjecture | In this article, we prove that there exists at least one chord orbit of Hamilton vector field connecting the Legendre submanifold on a given energy hypersurface in some symplectic manifolds. As an application, we prove that there exists at least one periodic orbit of Hamilton vector field on a given energy hypersurface in $R^{2n}$ which proves the longstanding Seifert's conjecture. The more general results are also obtained. | Symplectic Geometry (math.SG) | This paper has been withdrawn by the author due to there exists a gap in mentioned theorems | factual/methodological/other critical errors in manuscript | 14,452 |
math/0604290v3 | Tropical Invariants from the Secondary Fan | In this paper, we consider weighted counts of tropical plane curves of particular combinatorial type through a certain number of generic points. We give a criterion, derived from tropical intersection theory on the secondary fan, for a weighted count to give a number invariant of the position of the points. By computing a certain intersection multiplicity, we show how Mikhalkin's approach to computing Gromov-Witten invariants fits into our approach. This begins to address a question raised by Dickenstein, Feichtner, and Sturmfels. We also give a geometric interpretation of the numbers we produce involving Chow quotients, and provide a counterexample showing that the tropical Severi variety is not always supported on the secondary fan. This paper is a revision of the preprint, "The Tropical Degree of Cones in the Secondary Fan." | Algebraic Geometry (math.AG) | The paper has been withdrawn by the author due to an error in the proof of Prop 8.17 which can best be called an abuse of homological algebra. Much thanks to [REDACTED-NAME] Yang for spotting the error. Section 9 (the geometric interpretation) and section 10 (counterexample regarding the tropical Severi variety) are to the best of the author's knowledge, still correct | factual/methodological/other critical errors in manuscript | 14,456 |
math/0604592v2 | A cubical approach to homotopy orbits of circle actions | This paper has been withdrawn. | Algebraic Topology (math.AT) | Withdrawn due to errors in the appendix and to recent improvements in the methods developed here, cf. "Multiplicative structure in equivariant cohomology", also on the arXiv | factual/methodological/other critical errors in manuscript | 14,457 |
math/0605034v2 | Restricted exchange, braidings and the monoidal centre | Braided monoidal categories arise naturally as centres of monoidal categories and have been the focus of much recent attention in both mathematics and physics. By suitably restricting the use of the exchange rule, we obtain a sequent calculus whose categorical semantics may be seen as freely constructing the centre of a monoidal category. This calculus is shown to admit a strongly normalising and confluent cut elimination procedure. The resulting logic fits neatly into the landscape of noncommutative logics and is distinguished by possessing a particularly perspicuous semantics. | Logic (math.LO) | 25 pages; withdrawn due to some errors | factual/methodological/other critical errors in manuscript | 14,458 |
math/0605360v2 | New gap theorem on complete Riemannian manifolds | In this short note, we find a new gap phenomena on Riemannian manifolds, which says that for any complete noncompact Riemannian manifold with nonnegative Ricci curvature, if the scalar curvature decays faster than quadratically, then it is Ricci flat. | Differential Geometry (math.DG) | This paper has been withdrawn by the author due to some crucial errors | factual/methodological/other critical errors in manuscript | 14,459 |
math/0607079v2 | Basket, flat plumbing and flat plumbing basket numbers of links | We define the basket number, the flat plumbing number and the flat plumbing basket number of a link. Then we provide some upperbounds for these plumbing numbers by using Seifert's algorithm. We study the relation between these plumbing numbers and the genera of links. | Geometric Topology (math.GT) | This paper has been withdrawn by the author due to a crucial error in Theorem 2.2 and 2.4 | factual/methodological/other critical errors in manuscript | 14,465 |
math/0608306v4 | Orbits on Lagrangian Grassmanian | The purpose of this note is to give a classification of the orbital structure of certain reductive group actions on the Lagrangian Grassmanian. The groups under consideration are $Sp \times Sp$ and $GL$. The classification of $Sp \times Sp$ orbits is well-known and the classification of $GL$-orbits is not known. We also compute the isotropy group. Some of the results here will be used to analyze the representations of the universal covering of the symplectic group on the Shilov boundary. | Group Theory (math.GR) | The paper has been withdrawn by the author due to a crucial sign error in equation 10 and 11 | factual/methodological/other critical errors in manuscript | 14,467 |
math/0608635v4 | Heegaard splittings and 1-relator groups | We show that if $M$ is a fibered, orientable 3-manifold, and if $\pi_1 M$ has 1-relator presentation, then the presentation is induced by a Heegaard splitting of $M$. A corollary is that, for these manifolds, the rank of $\pi_1 M$ is equal to the "restricted" Heegaard genus of $M$. We also explore the analogy between 1-relator groups and Haken 3-manifolds, showing that every 1-relator group possesses a "1-relator hierarchy". | Geometric Topology (math.GT) | Paper has been withdrawn by the author due to a gap in the proof of main theorem | factual/methodological/other critical errors in manuscript | 14,470 |
math/0610945v3 | There are no projective surfaces in M_4 | This paper has been withdrawn by the author due to a crucial error | Algebraic Geometry (math.AG) | This paper has been withdrawn by the author due to a crucial error | factual/methodological/other critical errors in manuscript | 14,474 |
math/0611367v17 | An Analytic Approach to The Cancellation Problem for Affine Spaces over $\mathbb{C}$ | The Cancellation Problem for Affine Spaces is settled affirmatively, that is, it is proved that : Let $ k $ be an algebraically closed field of characteristic zero and let $n, m \in \mathbb{N}$. If $R[Y_1,..., Y_m] \cong_k k[X_1,..., X_{n+m}]$ as $k$-algebras, where $Y_1,..., Y_m, X_1,..., X_{n+m}$ are indeterminates, then $R \cong_k k[X_1,..., X_n]$. | Commutative Algebra (math.AC) | This paper has been withdrawn by the author due to a crucial sign error | factual/methodological/other critical errors in manuscript | 14,475 |
math/0611388v5 | A note on invariant differential operators on Siegel-Jacobi space | In this article, we investigate differential operators on the Siegel-Jacobi space that are invariant under the natural action of the Jacobi group. These invariant differential operators play an important role in the arithmetic theory of Jacobi forms of higher degree. We present some explicit invariant differential operators. We present problems which are natural. We give some new partial solutions for these natural problems. | Number Theory (math.NT) | This paper has been withdrawn by the author due to some errors. new results : new article that contains new good results | factual/methodological/other critical errors in manuscript | 14,476 |
math/0701239v3 | Distributions of length multiplicities for negatively curved locally symmetric Riemannian manifolds | The aim of the present paper is to study the distributions of the length multiplicities for negatively curved locally symmetric Riemannian manifolds. In Theorem 2.1, we give upper bounds of the length multiplicities and the square sums of them for general (not necessarily compact) cases. Furthermore in Theorem 2.2, we obtain more precise estimates of the length multiplicities and the power sums of them for arithmetic surfaces whose fundamental groups are congruence subgroups of the modular group. | Spectral Theory (math.SP) | 18 pages, This paper has been withdrawn by the author due to error in the proofs | factual/methodological/other critical errors in manuscript | 14,480 |
math/0701921v2 | Beyond Complex Numbers | There has been always an ambiguity in division when zero is present in the denominator. So far this ambiguity has been neglected by assuming that division by zero as a non-allowed operation. In this paper, I have derived the new set of numbers by considering that a number divided by zero gives rise to "a beyond complex number". This is very similar to the way imaginary numbers are defined. It was only after considering i = sqrt(-1), we have been able to deduce all the laws for imaginary numbers. Similarly here, I have considered "a number when divided by zero gives rise to a beyond complex number". This is the introduction paper to this "beyond complex numbers" containing the algebra of it. | General Mathematics (math.GM) | 14 pages; This paper is withdrawn due to errors. Check the updated version at arXiv:1101.2798 | factual/methodological/other critical errors in manuscript | 14,482 |
math/0702613v4 | Some Problems in Number Theory I: The Circle Problem | This paper concerns the number of lattice points in a circle. | Number Theory (math.NT) | This paper has been withdrawn as the authors have not succeeded producing an error free version | factual/methodological/other critical errors in manuscript | 14,484 |
math/0702673v2 | Jacobsthal's function and a short proof of the density of a set in the unit hypercube | We use an upper bound on Jacobsthal's function to complete a proof of a known density result. Apart from the bound on Jacobsthal's function used here, the proof we are completing uses only elementary methods and Dirichlet's theorem on the infinitude of primes in arithmetic progressions. | Number Theory (math.NT) | This paper is of insufficient quality to meet the standards of the mathematics community | factual/methodological/other critical errors in manuscript | 14,485 |
math/9211213v2 | Baire property and Axiom of Choice | We show that (1) If ZF is consistent then the following theory is consistent "ZF + DC(omega_{1}) + Every set of reals has Baire property" and (2) If ZF is consistent then the following theory is consistent "ZFC + `every projective set of reals has Baire property' + `any union of omega_{1} meager sets is meager' ". | Logic (math.LO) | Proof not correct | factual/methodological/other critical errors in manuscript | 14,492 |
math/9606231v2 | Distorted sums of models | Distorted sums of models were introduced and discussed in [Sh:463]. This notion generalizes the notion of disjoint (or direct) sums of models by letting the summands overlap. In the first section we investigate types in distorted sums and show that the type of a sequence of elements A is determined by the `local' type of A (i.e. the type restricted to a neighborhood of A). We simplify the proofs in [Sh:463] and improve the bounds on the radii needed to determine the types. Natural examples of distorted sums are models with distant functions. In the second and third sections we discuss such models and improve a theorem by Gaifman, that states that each formula is equivalent to a boolean combination of local formulas. | Logic (math.LO) | Proof probably incorrect | factual/methodological/other critical errors in manuscript | 14,493 |
math/9612226v2 | Club does not imply the existence of a Suslin tree | We prove that club does not imply the existence of a Suslin tree, so answering a question of I. Juhasz. | Logic (math.LO) | Proof is incorrect | factual/methodological/other critical errors in manuscript | 14,494 |
math/9803152v2 | On the minimal free resolution of non-special curves in P^3 | Here we prove that the minimal free resolution of a general space curve of large degree (e.g. a general space curve of degree d and genus g with d g+3, except for finitely many pairs (d,g)) is the expected one. A similar result holds even for general curves with special hyperplane section and, roughly, d g/2. The proof uses the so-called methode d'Horace. | Algebraic Geometry (math.AG) | This paper has been withdrawn due to a crucial error (a key lemma is obviously false). In the meantime I was not able to overcome this error using another (but related) path | factual/methodological/other critical errors in manuscript | 14,495 |
math/9809101v2 | On the Nagata Problem | Nagata has conjectured that the following statement (N_r) holds for all $r\geq 10$: (N_r) if $P_1,...P_r \in {\mathbb P}^2$ are generic points then any plane curve $C$ satisfies $\sum_1^r mult_{P_i}(C)\leq \sqrt{r} deg(C)$. Nagata proved (N_r) whenever $r$ is a perfect square. Here we prove (N_r) provided $r=k^2+\alpha,1\leq\alpha\leq2k,k\geq 3$ and either (i) $\alpha$ is odd and $\alpha\geq \sqrt{2k}$ or (ii) $\alpha$ is even and at lest 6, and the fractional part of $\sqrt{r}$ is at most $2(\sqrt{2}-1)$. | Algebraic Geometry (math.AG) | Withdrawn due to fatal error | factual/methodological/other critical errors in manuscript | 14,496 |
math/9810162v3 | Lifting formulas, Moyal product, and Feigin spectral sequence | It is shown, that each Lifting cocycle $\Psi_{2n+1},\Psi_{2n+3},\Psi_{2n+5},...$ ([Sh1], [Sh2]) on the Lie algebra $\Dif_n$ of polynomial differential operators on an $n$-dimensional complex vector space is the sum of two cocycles, its even and odd part. We study in more details the first case $n=1$. It is shown, that any nontrivial linear combination of two 3-cocycles on the Lie algebra $\Dif_1$, arising from the 3-cocycle~$\Psi_3$, is not cohomologous to zero, in a contradiction with the Feigin conjecture~[F]. The new conjecture on the cohomology $H^\ndot_\Lie(\Dif_1;\C)$ is made. | Quantum Algebra (math.QA) | The paper has been withdrawn due to a crucial mistake in the arguments | factual/methodological/other critical errors in manuscript | 14,497 |
math/9907124v2 | Exactness, integrality, and log modifications | In this paper we discuss log blow-up's, introduced by Kazuya Kato, and define the concept of log modifications. Using this concept we prove that any morphism f: X ---> Y of locally noetherian fs log schemes with underlying structures of f and Y quasi-compact can be modified to an exact morphism, and moreover to an integral morphism. By a well-known fact on the underlying structure of an integral morphism this result can be considered as a weak log-version of flattening theorem by Raynaud and Gruson. | Algebraic Geometry (math.AG) | This paper has been updated in such a drastical way that I have to change the title and the main contents, since the main theorem of this paper is not perfectly correct. So I withdraw the original paper, and submit anew the updated version as a different paper with different title. The new paper is available in arXiv:2101.09104 | factual/methodological/other critical errors in manuscript | 14,499 |
nlin/0202021v2 | R-matrix for a geodesic flow associated with a new integrable peakon equation | We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$. This flow is generated by a symmetry of the integrable partial differential equation (pde) $m_t+um_x+3mu_x=0, m=u-\alpha^2u_{xx}$ ($\al $ is a constant). This equation -- called the Degasperis-Procesi (DP) equation -- was recently proven to be completely integrable and possess peakon solutions by Degasperis, Holm and Hone (DHH[2002]). The isospectral eigenvalue problem associated with the integrable DP equation is used to find a new $L$-matrix, called the Lax matrix, for the geodesic dynamical flow. By employing this Lax matrix we obtain the $r$-matrix for the integrable geodesic flow. | Exactly Solvable and Integrable Systems (nlin.SI) | This paper has some crucial technical errors in $r$-matrix formula derivation | factual/methodological/other critical errors in manuscript | 14,504 |
nlin/0505007v2 | Energy Complexity of Software in Embedded Systems | The importance of low power consumption is widely acknowledged due to the increasing use of portable devices, which require minimizing the consumption of energy. The energy in a computational system depends heavily on the software being executed, since it determines the activity in the underlying circuitry. In this paper we introduce the notion of energy complexity of an algorithm for estimating the required energy consumption. As test vehicle we employ matrix multiplication algorithms and from the results it can be observed that energy complexity in combination with computational complexity, provides an accurate estimation for the energy consumed in the system. | Adaptation and Self-Organizing Systems (nlin.AO) | the data I relied on is no longer valid | factual/methodological/other critical errors in manuscript | 14,507 |
physics/0006052v5 | Schwarzschild's Curved Spacetime Lagrangian with Its Quantum Equations | From the curved spacetime Lagrangian the first approximation scalar particle quantum equation was obtained following the canonical formalism. The roots of this equation in Schwarzschild's pseudo flat space were found. As it was shown in a more general curved spacetime it is tedious to find equation's roots. The massless particle limiting case was considered. The Maxwell set of equations generalized to Schwarzschild's space was reproduced. | General Physics (physics.gen-ph) | This paper has been withdrawn by the author due to a crucial errors | factual/methodological/other critical errors in manuscript | 14,516 |
physics/0008012v2 | The interpretations by experimenters of experiments on 'time dilation': 1940-1970 circa | Experimental tests on `time dilation' began in 1938 with Ives and Stilwell's work of the transverse Doppler effect due to atoms in inertial flight. Rossi and Hall (1941) inaugurated the era of fast moving elementary particles that dominated the scene until the discovery of the Mossbauer effect (1957). This discovery suggested the use of photons emitted without recoil in crystalline solids for testing both time dilation and gravitational red shift. Finally, around 1970, Hafele and Keating dealt again with time dilation by sending macroscopic atomic clocks around the Earth. The interpretations of these experiments by experimenters have been characterized by the use of additional hypotheses not necessary for the formal development of the theories under test (the idea that all clocks measure proper time) or hypotheses completely extraneous to the theories themselves (the idea that atoms are clocks). If these assumptions are dropped, it turns out that the only experiments concerning time dilation are those performed with elementary particles in inertial flight. The historical and epistemological implications are discussed. | History and Philosophy of Physics (physics.hist-ph) | This paper has been withdrawn by the authors due to wrong treatments of some topics | factual/methodological/other critical errors in manuscript | 14,519 |
physics/0104035v2 | Exact solutions of the Boeder differential equation for macromolecular orientations in a flowing liquid | The Boeder differential equation is solved in this work over a wide range of $\alpha$, yielding the probability density functions (PDF), that describe the average orientations of rod-like macromolecules in a flowing liquid. The quantity $\alpha$ is the ratio of the hydrodynamic shear rate to the rotational diffusion coefficient. It characterises the coupling of the motion of the macromolecules in the hydrodynamic flow to their thermal diffusion. Previous analytical work is limited to approximate solutions for small values of $\alpha$. Special analytical as well as numerical methods are developed in the present work in order to calculate accurately the PDF for a range of $\alpha$ covering several orders of magnitude, $10^{-6} \le \alpha \le 10^{8}$. The mathematical nature of the differential equation is revealed as a singular perturbation problem when $\alpha$ becomes large. Scaling results are obtained over the differential equation for $\alpha \ge 10^{3}$. Monte Carlo Brownian simulations are also constructed and shown to agree with the numerical solutions of the differential equation in the bulk of the flowing liquid, for an extensive range of $\alpha$. This confirms the robustness of the developed analytical and numerical methods. | Chemical Physics (physics.chem-ph) | This paper has been withdrawn due to a crucial error in equation 21 | factual/methodological/other critical errors in manuscript | 14,521 |
physics/0412038v2 | Unipolar components travelling at the speed of light in vacuo | We describe a physical situation where the time integral of the electric field of an electromagnetic wave packet is not zero. More specifically, the non-oscillating component of the Fourier spectrum, i.e. the component resulting from the Fourier transform of the electric field evaluated at $\omega=0$, can be associated with the area under a locally unipolar electromagnetic pulse that travels in free space at the speed of light. | Classical Physics (physics.class-ph) | 2 pages, withdrawn because it is probably incorrect | factual/methodological/other critical errors in manuscript | 14,525 |
physics/0512036v2 | Attempt at clarification of Einstein's postulate of constancy of light velocity | We have realized that under Lorentz transformations the tick number of a moving common clock remains unchanged, that is, the hand of the clock never runs slow, but the time interval between its two consecutive ticks contracts, so the relative time has to be recorded by using the tau-clocks required by the transformations, instead of unreal slowing clocks. Thus it is argued that using rest common clocks or the equivalent the measured velocity of light emitted by a moving source, which is quasi-velocity of foreign light, is dependent of the source velocity. Nevertheless, the velocity of foreign light that should be measured by using tau-clocks is independent of the source velocity. The velocity of native light emitted by a rest source obeys the postulate of relativity in accordance with both Maxwell equations and the result of Michelson-Morley experiment. On the other hand, the velocity of foreign light obeys both Ritz's emission theory except the Lorentz factor and the postulate of constancy of light velocity if measured by using tau-clocks. Thus the emission theory does not conflict with special relativity. The present argument leads to a logical consequence that the so-called positive conclusions from experiments testing constancy of the velocity of light emitted by moving sources if using common clocks or the equivalent, instead of tau-clocks, exactly contradicts Lorentz transformations. | General Physics (physics.gen-ph) | The definition of light velocity in the moving system is wrong | factual/methodological/other critical errors in manuscript | 14,528 |
physics/0603067v2 | Surface polaritons in two-dimensional left-handed photonic crystals | Using an extended plane-wave-based transfer-matrix method, the photonic band structures and the corresponding transmission spectrum of a two-dimensional left-handed photonic crystal are calculated. Comparisons between the periodic structure with a single left-handed cylindric rod are made, and many interesting similarities are found. It is shown that, due to the localized surface polaritons presented by an isolated left-handed rod, there exist many exciting physical phenomena in high-dimensional left-handed photonic crystals. As direct results of coupling of the localized surface polaritons of neighboring left-handed rod, a lot of almost dispersionless bands, anti-crossing behavior, and a zero $\bar{n}$ gap are exhibited in the left-handed periodic structure. Moreover, in a certain frequency region, except distorted by a lot of anti-crossing behavior, there exists a continual dispersion relation, which can be explained by the long-wavelength approximation. It is also pointed out that high-dimensional left-handed photonic crystals can be used to design narrow-band filter. | Optics (physics.optics) | sign errors in equations | factual/methodological/other critical errors in manuscript | 14,529 |
physics/0608075v5 | On the completeness of classical electromagnetism | The possibility of an incompletness of the equations of electromagnetism is analyzed using a thought experiment that shows a non-physical behavior according to classical electromagnetism. Basically, from Maxwell equations it is shown that a particular passive, isolated circuit could present a transient growth of its currents. Resolution of this problem is sought within the context of the usual electromagnetism and also using the possibly simplest generalization of Maxwell equations, a reduced version of Ohmura equations. | General Physics (physics.gen-ph) | This paper has been withdrawn by the author due to an error in the argumentation. | factual/methodological/other critical errors in manuscript | 14,534 |
quant-ph/0010065v7 | Artificial Orbitals and a Solution to Grover's Problem | By allowing measurements of observables other than the state of the qubits in a quantum computer, one can find eigenvectors very quickly. If a unitary operation U is implemented as a time-independent Hamiltonian, for instance, one can collapse the state of the computer to a nearby eigenvector of U with a measurement of the energy. We examine some recent proposals for quantum computation using time-independent Hamiltonians and show how to convert them into ``artificial orbitals'' whose energy eigenstates match those of U. This system can be used to find eigenvectors and eigenvalues with a single measurement. We apply this technique to Grover's algorithm and the continuous variant proposed by Farhi and Gutmann. | Quantum Physics (quant-ph) | To distinguish the two eigenvectors, one has to distinguish their energies, but the gap is exponentially small | factual/methodological/other critical errors in manuscript | 14,541 |
quant-ph/0311072v2 | Action at a distance and the no-mediator theorem | It is known that outcomes of space-like separated measurements of entangled particles are interdependent. As in the classical physics no one saw action-at-a-distance, not mediated by some real communication using a carrier, people look for some mediator that makes possible an influence-passing between the distant particles. The wave function does not comprise such a kind of object. The present text tries to incorporate the mediator in the formalism of the quantum mechanics. The result is a contradiction. | Quantum Physics (quant-ph) | This article was withdrawn by the author because a conceptual error was found | factual/methodological/other critical errors in manuscript | 14,547 |
quant-ph/0312174v5 | Quantum Computation, Categorical Semantics and Linear Logic | This preprint has been withdrawn. | Quantum Physics (quant-ph) | Withdrawn: The construction of the category in section 5 contains a flaw that invalidates the assertion that Hilbert bundles provide a monoidal closed category | factual/methodological/other critical errors in manuscript | 14,549 |
quant-ph/0401049v3 | Quantum interference and local field effects in a medium of V-type three-level atoms | We study the intrinsic optical bistability displayed by a small sample of $V$-type three-level atoms induced by the near dipole-dipole interaction. The use of the coherent state properties in the limit of the generalized second-order Born approximation for BBGKY-hierarchy of equations for the reduced density operators allows one to derive the operator describing the near dipole-dipole interaction (local field correction) with interference terms involving no additional assumptions. The dynamics of populations of the excited states and the total spontaneous intensity are analysed as functions of the external laser field strength allowing for the off-diagonal structure of the local field and relaxation operators. | Quantum Physics (quant-ph) | This paper has been withdrawn by the author due to a crucial error | factual/methodological/other critical errors in manuscript | 14,550 |
quant-ph/0411039v2 | What was in the apparatus before the click | From all the observables of a system, none is so close to our classical mentality as position. A system described by a multibranched wave function is studied, each branch corresponding to a separate this http URL question is asked whether at a given moment in our apparatus only one of the paths is populated, or all the paths are populated. It is shown that the assumption that only one path is populated and the others aren't, leads to a contradiction. In direct connection with this, the view that the wave function is only a statistical tool and does not describe single quantum systems, is challenged. The judgement is local, single systems are examined. | Quantum Physics (quant-ph) | This article was withdrawn by the author due to some non-clear points and some mistakes in the calculus | factual/methodological/other critical errors in manuscript | 14,553 |
quant-ph/0502144v2 | Quantum Floyd-Warshall Alorithm | Classical Floyd-Warshall algorithm is used to solve all-pairs shortest path problem on a directed graph. The classical algorithm runs in \mathcal{O} (V^{3}) time where V represents the number of nodes. Here we have modified the algorithm and proposed a quantum algorithm analogous to Floyd-Warshall algorithm which exploits the superposition principle and runs in \mathcal{O} (Vlog_{2}V) time. | Quantum Physics (quant-ph) | There was a logical flaw in the reported algorithm | factual/methodological/other critical errors in manuscript | 14,555 |
quant-ph/0503232v2 | Nonlocality of single fermions - branches that borrow particles | An experiment performed in 2002 by Sciarrino et al. provided a simple proof of the nonlocality of a single photon whose wave function is multi-branched. The difference between this experiment and others similar, is that the tester-particle used by Sciarrino to "feel" this nonlocality is another photon identical to the tested one. Such an experiment be can in principle performed with fermions too, and this is the case ivestigated in this article. The novel phenomenon revealed by Sciarrino's experiment, is the particle "borrowing". If a single particle is described by a two-branched wave function, then only one of these branches produces a detection at a time, the other ranch remains "silent". What happens in this experiment is that the silent branch "borrows" a particle from another source, if available in the neighborhood, and also produces a detection. To illustrate this feature more obviously, a modificaton of Sciarrino's experiment is proposed. Two sources of particles are made available in the neighborhood of the two branches. What then happens is that each branch takes and populates itself with a particle from whichever source is at hand. | Quantum Physics (quant-ph) | The author of this article re-considered Sciarrino's experiment, on which this article is based. The author places some doubt on the rigor of the conclusions of the experiment, since those conclusions were drawn in base of a truncation of the wave-function | factual/methodological/other critical errors in manuscript | 14,557 |
quant-ph/0506093v2 | Modified Grover's Search Algorithm in O(M+logN)Steps | The present letter proposes a modification in the well known Grover's search algorithm, which searches a database of $N$ unsorted items in $O(\sqrt{N/M})$ steps, where $M$ represents the number of solutions to the search problem. Concurrency control techniques and extra registers for marking and storing the solutions are used in the modified algorithm. This requires additional space but it is shown that the use of extra register and marking techniques can reduce the time complexity to $O(M+\log N)$. | Quantum Physics (quant-ph) | This paper has been withdrawn by the authors due to soem conceptual error | factual/methodological/other critical errors in manuscript | 14,559 |
quant-ph/0506255v4 | Quantum Passwords | A quantum password is a quantum mechanical analogue of the classical password. Our proposal is completely quantum mechanical in nature, i.e. at no point is information stored and manipulated classically. We show that, in contrast to quantum protocols that encode classical information, we are able to prevent the distribution of reusable passwords even when Alice actively cooperates with Eve. This allows us to confront and address security issues that are unavoidable in classical protocols. | Quantum Physics (quant-ph) | Paper withdrawn to address a security loophole | factual/methodological/other critical errors in manuscript | 14,560 |
quant-ph/0610155v4 | Field-theoretical space-time position operator of the Dirac electron | A field-theoretical space-time position operator can be properly introduced for the Dirac field, it plays the role of a generalized Noether charge associated with a local symmetry, and its second-quantized form shows that quantum fields possess zero-point time, which implies that a zero-point fluctuation of energy must be accompanied with a zero-point fluctuation of time, and then in agreement with the time-energy uncertainty principle. In practice, some possible physical effects owing to zero-point time remain to be found. | Quantum Physics (quant-ph) | This paper has been withdrawn by the author due to a crucial error in this paper | factual/methodological/other critical errors in manuscript | 14,571 |
quant-ph/0702092v4 | The Topological Properties of Fault-Tolerant Circuits | The design of time-independent local Hamiltonians that realise quantum algorithms is derived from the study of perfect state transfer. The novel features of this evolution are the perfect realisation of the computation, and the ability to implement operations in parallel rather than sequentially. This is applied to a quantum circuit for concatenated error correcting codes, and the properties of the eigenstates are compared to those of topological memories. An erroneous implementation of the algorithm (one where a single error could lead to a fault in the output) is found not to be topological, whereas a true fault-tolerant algorithm possesses self-correcting properties, suggesting the existence of a unifying structure for fault-tolerant memories. | Quantum Physics (quant-ph) | This paper has been withdrawn because there are errors in it. I have always believed them to be fixable, but have never had the time to go back and do so | factual/methodological/other critical errors in manuscript | 14,576 |
quant-ph/0702205v3 | Non-Hermitian Hamiltonians with Real Spectra in Quantum Mechanics | A condition to have a real spectrum for a non-Hermitian Hamiltonian is given. As special cases, it is shown that the condition is reduced to Hermiticity and PT symmetric conditions. | Quantum Physics (quant-ph) | This paper has been withdrawn by the author due to an error in Equ. (5) | factual/methodological/other critical errors in manuscript | 14,577 |
quant-ph/9703030v3 | Comment on ``Nonlocality of a Single Photon Revisited'' | This paper has been withdrawn. A significantly revised version will be posted in the near future. | Quantum Physics (quant-ph) | This paper has been withdrawn. A crucial mistake was found in one of the equations | factual/methodological/other critical errors in manuscript | 14,578 |
quant-ph/9904078v2 | Unconditionally Secure Quantum Coin Tossing | In coin tossing two remote participants want to share a uniformly distributed random bit. At the least in the quantum version, each participant test whether or not the other has attempted to create a bias on this bit. It is requested that, for b = 0,1, the probability that Alice gets bit b and pass the test is smaller than 1/2 whatever she does, and similarly for Bob. If the bound 1/2 holds perfectly against any of the two participants, the task realised is called an exact coin tossing. If the bound is actually $1/2 + \xi$ where the bias $\xi$ vanishes when a security parameter m defined by the protocol increases, the task realised is a (non exact) coin tossing. It is found here that exact coin tossing is impossible. At the same time, an unconditionally secure quantum protocol that realises a (non exact) coin tossing is proposed. The protocol executes m biased quantum coin tossing procedures at the same time. It executes the first round in each of these m procedures sequentially, then the second rounds are executed, and so on until the end of the n procedures. Each procedure requires 4n particles where $n \in O(\lg m)$. The final bit x is the parity of the m random bits. The information about each of these m bits is announced a little bit at a time which implies that the principle used against bit commitment does not apply. The bias on x is smaller than $1/m$. The result is discussed in the light of the impossibility result for exact coin tossing. | Quantum Physics (quant-ph) | 7 pages Revtex format It is known to be impossible. There was no claimed proof in the paper. It is just a bad intuition | factual/methodological/other critical errors in manuscript | 14,579 |
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