total 1181took 0.11s

An Autonomous Passive Navigation Method for Nanosatellite Exploration of the Asteroid BeltFeb 08 2019There are more than 750,000 asteroids identified in the main belt. These asteroids are diverse in composition and size. Some of these asteroids can be traced back to the early solar system and can provide insight into the origins of the so-lar system, ... More

Laser Communication and Coordination Control of Spacecraft SwarmsJan 25 2019Swarms of small spacecraft offer whole new capabilities in Earth observation, global positioning and communications compared to a large monolithic spacecraft. These small spacecrafts can provide bigger apertures that increase gain in communication antennas, ... More

Improved sphere packing lower bounds from Hurwitz latticesMay 19 2011In this paper we prove an asymptotic lower bound for the sphere packing density in dimensions divisible by four. This asymptotic lower bound improves on previous asymptotic bounds by a constant factor and improves not just lower bounds for the sphere ... More

Fine Entanglement and State Manipulation of Two Spin Coupled Qubits: A Lie Theoretic OverviewFeb 18 2015By building on the work in Kuzmak & Tkachuk, "Preparation of quantum states of two spin-$\frac{1}{2}$ particles in the form of the Schmidt decomposition", Physics Letters A, {\bf 378}, pp1469-1474, which outlined the control of the degree of entanglement ... More

Linear Hypergraph Edge ColoringMar 16 2016Motivated by the Erdos-Faber Lovasz conjecture (EFL) for hypergraphs, we explore relationships between several conjectures on the edge coloring of linear hypergraphs. In particular, we are able to increase the class of hypergraphs for which EFL is true. ... More

Analysis of first order systems for the solution of Laplace's equationApr 13 2014Kelner, Orecchia, Sidford, and Zhu have given a randomized iterative method for approximating the solution to the discrete Laplace equation that has expected running time nearly linear in the size of the problem. The goal of this note is to explain this ... More

A Problem of W. R. Scott: Classify the Subgroup of Elements with Many RootsDec 28 2011Let G be an infinite group and let h and g be elements. We say that h is a root of g if some integer power of h is equal to g. We define K(G) to be the subgroup of all elements of G for which the number of elements which are not roots is of smaller cardinality ... More

A Mordell Inequality for Lattices over Maximal OrdersOct 14 2008Jul 30 2010In this paper we prove an analogue of Mordell's inequality for lattices in finite-dimensional complex or quaternionic Hermitian space that are modules over a maximal order in an imaginary quadratic number field or a totally definite rational quaternion ... More

Linear Hypergraph List Edge Coloring - Generalizations of the EFL Conjecture to List ColoringJan 03 2017Motivated by the Erd\H{o}s-Faber-Lov\'asz (EFL) conjecture for hypergraphs, we consider the list edge coloring of linear hypergraphs. We discuss several conjectures for list edge coloring linear hypergraphs that generalize both EFL and Vizing's theorem ... More

Evaluation of Mother-Daughter Architectures for Asteroid Belt ExplorationDec 28 2018This paper examines the effectiveness of an asteroid exploration architecture comprised of multiple nanosatellite sized spacecraft deployed from a single mother ship into a heliocentric orbit in the main asteroid belt where the mothership is ideally located ... More

A Microscopic Picture of Strangeness Production at the SPSDec 15 2000Dec 17 2000The microscopic origin of the strangeness enhancements observed in PbPb collisions at the SPS is studied by testing the effects of three mechanisms. First, the junction processes found in the HIJING/BBbar event generator are reviewed showing that they ... More

A Spring Propelled Extreme Environment Robot for Off-World Cave ExplorationMar 19 2019Pits on the Moon and Mars are intriguing geological formations that have yet to be explored. These geological formations can provide protection from harsh diurnal temperature variations, ionizing radiation, and meteorite impacts. Some have proposed that ... More

Diffractive Dijet Production and Nuclear Shadowing in pA InteractionsJun 11 2001We study the implications of non-universality observed recently in e p and pbar p diffraction for nuclear shadowing and diffractive dijet production in pA collisions.

Anti-Hyperon Enhancement through Baryon Junction LoopsJan 06 1999The baryon junction exchange mechanism recently proposed to explain valence baryon number transport in nuclear collisions is extended to study midrapidity anti-hyperon production. Baryon junction-anti-junction (J anti-J) loops are shown to enhance anti-Lambda, ... More

Color Detection Using Chromophore-Nanotube Hybrid DevicesFeb 12 2009We present a nanoscale color detector based on a single-walled carbon nanotube functionalized with azobenzene chromophores, where the chromophores serve as photoabsorbers and the nanotube as the electronic read-out. By synthesizing chromophores with specific ... More

Characterization of worst-case GMRESFeb 22 2013Given a matrix $A$ and iteration step $k$, we study a best possible attainable upper bound on the GMRES residual norm that does not depend on the initial vector $b$. This quantity is called the worst-case GMRES approximation. We show that the worst case ... More

Estimating a bivariate linear relationshipFeb 05 2012Solutions of the bivariate, linear errors-in-variables estimation problem with unspecified errors are expected to be invariant under interchange and scaling of the coordinates. The appealing model of normally distributed true values and errors is unidentified ... More

Complementarity And FirewallsJul 17 2012Aug 03 2012This paper has been withdrawn because the author no longer believes the firewall argument is correct.

Holography in the Flat Space LimitJan 19 1999Matrix theory and the AdS/CFT correspondence provide nonperturbative holographic formulations of string theory. In both cases the finite N theories can be thought of as infrared regulated versions of flat space string theory in which removing the cutoff ... More

ER=EPR, GHZ, and the Consistency of Quantum MeasurementsDec 29 2014This paper illustrates various aspects of the ER=EPR conjecture.It begins with a brief heuristic argument, using the Ryu-Takayanagi correspondence, for why entanglement between black holes implies the existence of Einstein-Rosen bridges. The main part ... More

Is Eternal Inflation Past-Eternal? And What if It Is?May 03 2012As a result of discussions with Bousso and Vilenkin I want to return to the question of whether the multiverse is past-eternal or if there was a beginning. Not surprisingly, given three people, there were three answers. However, the discussions have led ... More

Supersymmetry Breaking in the Anthropic LandscapeMay 21 2004Jun 11 2004In this paper I attempt to address a serious criticism of the ``Anthropic Landscape" and "Discretuum" approach to cosmology, leveled by Banks, Dine and Gorbatov. I argue that in this new and unfamiliar setting, the gauge Hierarchy may not favor low energy ... More

Relative regular modules. Applications to von Neumann regular ringsMar 09 2008We use the concept of a regular object with respect to another object in an arbitrary category, defined in \cite{dntd}, in order to obtain the transfer of regularity in the sense of Zelmanowitz between the categories $R-$mod and $S-$mod, when $S$ is an ... More

The Yang-Mills heat equation with finite actionJun 13 2016Sep 29 2017The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over three dimensional Euclidean space and over a bounded open convex set therein. The initial data is taken to lie in the Sobolev space of order one half, which is the ... More

Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita ConnectionsMar 11 2018Jul 29 2018We build metrized quantum vector bundles, over a generically transcendental quantum torus, from Riemannian metrics, using Rosenberg's Levi-Civita connections for these metrics. We also prove that two metrized quantum vector bundles, corresponding to positive ... More

An Infinitesimal Version of the Stone-von Neumann TheoremApr 12 2017In this paper, we present an infinitesimal version of the Stone-von Neumann Theorem. This work was motivated by the need to formulate the uniqueness property of the Heisenberg Commutation Relation purely in terms of unbounded operators.

Addendum to Computational Complexity and Black Hole HorizonsMar 22 2014In this addendum to [arXiv:1402.5674] two points are discussed. In the first additional evidence is provided for a dual connection between the geometric length of an Einstein-Rosen bridge and the computational complexity of the quantum state of the dual ... More

Fractal-Flows and Time's ArrowMar 29 2012Apr 07 2012This is the written version of a lecture at the KITP workshop on Bits, Branes, and Black Holes. In it I describe work with D. Harlow, S. Shenker, D. Stanford which explains how the tree-like structure of eternal inflation, together with the existence ... More

Another Conjecture about M(atrix) TheoryApr 10 1997The current understanding of M(atrix) theory is that in the large N limit certain supersymmetric Yang Mills theories become equivalent to M-theory in the infinite momentum frame. In this paper the conjecture is put forward that the equivalence between ... More

Electromagnetic MemoryJul 09 2015An elementary derivation of the electromagnetic memory effect is given. An experimental setup to detect it is suggested.

The Transfer of Entanglement: The Case for FirewallsOct 07 2012Black hole complementarity requires that the interior of a black hole be represented by the same degrees of freedom that describe its exterior. Entanglement plays a crucial role in the reconstruction of the interior degrees of freedom. This connection ... More

Amplitude of Perturbations from InflationFeb 27 2007Mar 22 2007The observed power spectrum of the cosmic microwave background (CMB) is consistent with inflationary cosmology, which predicts a nearly scale-invariant power spectrum of quantum fluctuations of the inflaton field as they exit the Hubble horizon during ... More

Generalized Fixed-Point Algebras and Square-Integrable Representations of Twisted C*-Dynamical SystemsApr 07 2015This paper shows that Ralf Meyer's theory of square-integrable group representations of C*-dynamical systems can be generalized quite naturally to the case of twisted C*-dynamical systems. An outcome of this is a generalized fixed-point algebra that is ... More

Essential Collaboration Skills: The ASCCR Frame for CollaborationNov 08 2018Mar 28 2019Statistics and data science are collaborative disciplines that typically require practitioners to interact with many different people or groups. Consequently, collaboration skills are part of the personal and professional skills essential for success ... More

A Study of Parton Energy Loss in Au+Au Collisions at RHIC using Transport TheorySep 06 2001Sep 13 2001Parton energy loss in Au+Au collisions at RHIC energies is studied by numerically solving the relativistic Boltzmann equation for the partons including $2 \leftrightarrow 2$ and $2 \to 2 + final state radiation$ collision processes. Final particle spectra ... More

A Network Filtration Protocol for Elucidating Relationships between Families in a Protein Similarity NetworkAug 11 2014Motivation: The study of diverse enzyme superfamilies can provide important insight into the relationships between protein sequence, structure and function. It is often challenging, however, to discover these relationships across a large and diverse superfamily. ... More

Singularities, Firewalls, and ComplementarityAug 16 2012Almheiri, Marolf, Polchinski, and Sully, recently claimed that once a black hole has radiated more than half its initial entropy (the Page time), the horizon is replaced by a "firewall" at which infalling observers burn up, in apparent violation of the ... More

Was There a Beginning?Apr 24 2012In this note I respond to Vilenkin's claim that there must have been a beginning.

Some Speculations about Black Hole Entropy in String TheorySep 27 1993Sep 30 1993The classical Bekenstein entropy of a black hole is argued to arise from configurations of strings with ends which are frozen on the horizon. Quantum corrections to this entropy are probably finite unlike the case in quantum field theory. Finally it is ... More

Entanglement is not EnoughNov 03 2014This is the written version of a lecture given at KITP in Oct 2014 on Black Holes and quantum complexity. I've included (in boldface) various questions that came up during the lecture and discussions the following day, as well as the quantitative calculations ... More

Butterflies on the Stretched HorizonNov 28 2013Dec 07 2013In this paper I return to the question of what kind of perturbations on Alice's side of an Einstein-Rosen bridge can send messages to Bob as he enters the horizon at the other end. By definition "easy" operators do not activate messages and "hard" operators ... More

Addendum to Fast ScramblersJan 31 2011This paper is an addendum to [arXiv:0808.2096] in which I point out that both de Sitter space and Rindler space are fast scramblers. This fact naturally suggests that the holographic description of a causal patch of de Sitter space may be a matrix quantum ... More

Cosmic Natural SelectionJul 29 2004I make a number of comments about Smolin's theory of Cosmic Natural Selection.

Testable Consequences of Curved-Spacetime RenormalizationApr 01 1998Apr 08 1998I consider certain renormalization effects in curved spacetime quantum field theory. In the very early universe these effects resemble those of a cosmological constant, while in the present universe they give rise to a significant finite renormalization ... More

Infrared Behaviour of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar FieldFeb 08 2010The infrared behaviour of the n-point functions of a Yang-Mills theory with a charged scalar field in the fundamental representation of SU(N) is studied in the formalism of Dyson-Schwinger equations. Assuming a stable skeleton expansion solutions in form ... More

Hospital Acquired Infections: Advantages of a Computerized SurveillanceMar 05 2009To asses the advantages of a computerized surveillance system to detect Healthcare-Associated Infections (HAI). All HAI reported to the Timis County branch of the Romanian National Health Insurance and the Public Health Authority during the year 2007 ... More

A CryptoCubic Protocol for Hacker-Proof Off-Chain Bitcoin TransactionsAug 11 2014Off-Chain transactions allow for the immediate transfer of Cryptocurrency between two parties, without delays or unavoidable transaction fees. Such capabilities are critical for mainstream Cryptocurrency adaption. They allow for the "Coffee-Coin Criteria"; ... More

New Concepts for Old Black HolesNov 13 2013Dec 07 2013It has been argued that the AMPS paradox implies catastrophic breakdown of the equivalence principle in the neighborhood of a black hole horizon, or even the non-existence of any spacetime at all behind the horizon. Maldacena and the author suggested ... More

Rebuttal to a Paper on WormholesApr 08 2005In a recent paper on wormholes (gr-qc/0503097), the author of that paper demonstrated that he didn't know what he was talking about. In this paper I correct the author's naive erroneous misconceptions.

Twenty Years of Debate with StephenApr 03 2002This is my contribution to Stephen Hawking's 60th birthday party. Happy Birthday Stephen!

T Duality in M(atrix) Theory and S Duality in Field TheoryNov 21 1996The matrix model formulation of M theory can be generalized to compact transverse backgrounds such as tori. If the number of compact directions is K then the matrix model must be generalized to K+1 dimensional super Yang Mills theory on a compact space. ... More

The Typical-State Paradox: Diagnosing Horizons with ComplexityJul 08 2015The concept of transparent and opaque horizons is defined. One example of opaqueness is the presence of a firewall. Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons; and: All black ... More

Black Hole Complementarity and the Harlow-Hayden ConjectureJan 18 2013Jun 06 2013Black hole complementarity, as originally formulated in the 1990's by Preskill, 't Hooft, and myself is now being challenged by the Almheiri-Marolf-Polchinski-Sully firewall argument. The AMPS argument relies on an implicit assumption---the ``proximity ... More

The Census Taker's HatOct 05 2007If the observable universe really is a hologram, then of what sort? Is it rich enough to keep track of an eternally inflating multiverse? What physical and mathematical principles underlie it? Is the hologram a lower dimensional quantum field theory, ... More

Trouble For RemnantsJan 23 1995An argument is presented for the inconsistency of black hole remnants which store the information which falls into black holes. Unlike previous arguments it is not concerned with a possible divergence in the rate of pair production. It is argued that ... More

Comment On A Proposal By StromingerMay 17 1994Strominger has proposed an interesting concrete realization of Hawking's idea that information is lost in black hole evaporation. In this note we demonstrate that a straightforward interpretation of Strominger's model leads to a complete breakdown of ... More

Dalitz plot studies in hadronic charm decaysNov 06 2014Recent studies of hadronic -meson decays are reported. Some experimental searches of CP-symmetry violation using model independent methods are presented. An importance of unitarity constraints in construction of phenomenological models of the D-meson ... More

The Yang-Mills heat equation with finite actionJun 13 2016The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over three dimensional Euclidean space and over a bounded open convex set therein. The initial data is taken to lie in the Sobolev space of order one half, which is the ... More

Generalized Fixed-Point Algebras for Twisted $ C^{\ast} $-Dynamical SystemsApr 07 2015Apr 12 2017In his seminal paper "Generalized Fixed Point Algebras and Square-Integrable Group Actions", Ralf Meyer showed how to construct generalized fixed-point algebras for $ C^{\ast} $-dynamical systems via their square-integrable representations on Hilbert ... More

A homogenization result for weak membrane energiesJan 09 2018We prove a $\Gamma$-convergence result for space dependent weak membrane energies, that is for 'truncated quadratic potentials', that are quadratic below some threshold (depending on the pair of points that we are considering) and constant above. We prove ... More

Crosstalk between nanotube devices: contact and channel effectsJan 31 2006At reduced dimensionality, Coulomb interactions play a crucial role in determining device properties. While such interactions within the same carbon nanotube have been shown to have unexpected properties, device integration and multi-nanotube devices ... More

Copenhagen vs Everett, Teleportation, and ER=EPRApr 09 2016Apr 23 2016Quantum gravity may have as much to tell us about the foundations and interpretation of quantum mechanics as it does about gravity. The Copenhagen interpretation of quantum mechanics and Everett's Relative State Formulation are complementary descriptions ... More

Computational Complexity and Black Hole HorizonsFeb 23 2014Feb 25 2014Computational complexity is essential to understanding the properties of black hole horizons. The problem of Alice creating a firewall behind the horizon of Bob's black hole is a problem of computational complexity. In general we find that while creating ... More

Wormholes and Time Travel? Not LikelyMar 23 2005Apr 08 2005Wormholes have been advanced as both a method for circumventing the limitations of the speed of light as well as a means for building a time machine (to travel to the past). Thus it is argued that General Relativity may allow both of these possibilities. ... More

The Anthropic Landscape of String TheoryFeb 27 2003In this lecture I make some educated guesses, about the landscape of string theory vacua. Based on the recent work of a number of authors, it seems plausible that the lanscape is unimaginably large and diverse. Whether we like it or not, this is the kind ... More

Particle Growth and BPS Saturated StatesNov 17 1995Nov 21 1995Consistency of the Bekenstein bound on entropy requires the physical dimensions of particles to grow with momentum as the particle is boosted to transplanckian energies. In this paper the problem of particle growth in heterotic string theory is mapped ... More

Strings, Black Holes and Lorentz ContractionAug 27 1993Consistency of quantum mechanics in black hole physics requires unusual Lorentz transformation properties of the size and shape of physical systems with momentum beyond the Planck scale. A simple parton model illustrates the kind of behavior which is ... More

An algorithm for one-dimensional Generalized Porous Medium Equations: interface tracking and the hole filling problemOct 06 2014Based on results of E. DiBenedetto and D. Hoff we propose an explicit finite difference scheme for the one dimensional Generalized Porous Medium Equation $\partial_t u=\partial_{xx}^2 \Phi(u)$. The scheme allows to track the moving free boundaries and ... More

Mean-value property on manifolds with minimal horospheresOct 24 2007Let (M,g) be a non-compact and complete Riemannian manifold with minimal horospheres and infinite injectivity radius. We prove that bounded functions on (M,g) satisfying the mean-value property are constant. We extend thus a result of A. Ranjan and H. ... More

Graded super duality for general linear Lie superalgebrasDec 02 2017We provide a new proof of the super duality equivalence between infinite-rank parabolic BGG categories of general linear Lie (super) algebras conjectured by Cheng and Wang and first proved by Cheng and Lam. We do this by establishing a new uniqueness ... More

Stability of the Yang-Mills heat equation for finite actionOct 31 2017The existence and uniqueness of solutions to the Yang-Mills heat equation over domains in Euclidean three space was proven in a previous paper for initial data lying in the Sobolev space of order one-half, which is the critical Sobolev index for this ... More

Equivalence of helicity and Euclidean self-duality for gauge fieldsNov 18 2018In the canonical formalism for the free electromagnetic field a solution to Maxwell's equations is customarily identified with its initial gauge potential (in Coulomb gauge) and initial electric field, which together determine a point in phase space. ... More

Transpose on vertex symmetric digraphsJul 03 2014We discuss transpose (sometimes called universal exchange or all-to-all) on vertex symmetric networks. We provide a method to compare the efficiency of transpose schemes on two different networks with a cost function based on the number processors and ... More

Livelock free routing schemesJan 22 2012We give a livelock free routing algorithm for any allowed network. Unlike some other solutions to this problem: 1) packets entering the network have an absolute upper bound on the time to reach their destination; 2) under light loads, packets are delivered ... More

Inverting sets and the packing problemSep 16 1994Given a set $V$, a subset $S$, and a permutation $\pi$ of $V$, we say that $\pi$ permutes $S$ if $\pi (S) \cap S = \emptyset$. Given a collection $\cS = \{V; S_1,\ldots , S_m\}$, where $S_i \subseteq V ~~(i=1,\ldots ,m)$, we say that $\cS$ is invertible ... More

Hyperelliptic classes are rigid and extremal in genus twoJul 27 2017Oct 17 2018We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on $\overline{\mathcal{M}}_{2,\ell+2m+n}$. ... More

Baryon Junction Stopping at the SPS and RHIC via HIJING/BFeb 11 1998Baryon stopping at the SPS and RHIC energies is calculated by introducing a new baryon junction mechanism into HIJING. The exchange of a baryon junction, according to Regge phenomenology, leads to a cosh(y/2) rapidity dependence and an s^(-1/4) energy ... More

Julia and Mandelbrot sets for dynamics over the hyperbolic numbersJan 07 2019Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers. Hyperbolic numbers, ... More

Variations on a theme of Cline and DonkinMar 19 2010Nov 15 2011Let $N$ be a normal subgroup of a group $G$. An $N$-module $Q$ is $G$-stable provided that $Q$ is equivalent to the twist $Q^g$ of $Q$ by $g$, for every $g\in G$. If the action of $N$ on $Q$ extends to an action of $G$ on $Q$, $Q$ is obviously $G$-stable, ... More

Is the a0(980) resonance a K anti-K bound state?Jul 15 2004We have analysed properties of two resonances a0(980) and a0(1450) using the pion-eta and K anti-K coupled channel model. Although the forces in the scalar-isovector K anti-K channel are attractive the a0(980) resonance cannot be interpreted as a kaon-antikaon ... More

de Sitter as a ResonanceNov 01 2016A quantum mechanical formulation of de Sitter cosmological spacetimes still eludes string theory. In this paper we conjecture a potentially rigorous framework in which the status of de Sitter space is the same as that of a resonance in a scattering process. ... More

Rotational Invariance in the M(atrix) Formulation of Type IIB TheoryFeb 12 1997Feb 23 1997The matrix model formulation of M-theory can be generalized by compactification to ten-dimensional type II string theory, formulated in the infinite momentum frame. Both the type IIA and IIB string theories can be formulated in this way. In the M-theory ... More

Dalitz-plot dependence of CP asymmetry in B+- --> K+- K+ K- decaysSep 06 2013Sep 16 2014A large CP asymmetry predicted recently in the framework of the QCD factorization model for the B+- --> K+- K+ K- decays in the range of the K+ K- invariant masses above the phi(1020) resonance has been confirmed by the LHCb Collaboration. We discuss ... More

A Two-round Variant of EM for Gaussian MixturesJan 16 2013Given a set of possible models (e.g., Bayesian network structures) and a data sample, in the unsupervised model selection problem the task is to choose the most accurate model with respect to the domain joint probability distribution. In contrast to this, ... More

A Supernova RiddleDec 24 2007Analysis of the polarization of light from supernovae can reveal the shape and distribution of matter ejected from exploding stars. Here we review the young field of Type Ia supernova spectropolarimetry and critically evaluate, and place in context, the ... More

A convenient approach to $10^{-12}~g/g$ ICP-MS limits for Th and U in Aurubis electrolytic NA-ESN brand copperMar 20 2014Inductively coupled plasma mass spectroscopy is a powerful technique for measuring trace levels of radioactive contaminants, specifically Th and U, in materials for use in construction of low-background rare-event detectors such as double beta decay and ... More

Finite N Heterotic Matrix Models and Discrete Light Cone QuantizationAug 15 1997Sep 28 1997The finite N version of Matrix theory describes M-theory and superstrings in so-called discretized light cone quantization (DLCQ). Its role has been explained for M-theory in 11 dimensions and for type IIA theory. We show novelties which arise by generalizing ... More

Astrophysical Observations of Early Universe Phase TransitionsJan 30 2004After a review of CMBR correlations and recent observations, a study of possible CMBR observations of the QCD early universe phase transition is discussed. A model for the QCD bubble walls gives the surface tension found in lattice calculations, and a ... More

Neutrino Oscillations With Two Sterile NeutrinosMay 19 2016This work estimates the probability of $\mu$ to $e$ neutrino oscillation with two sterile neutrinos using a 5x5 U-matrix, an extension of the previous estimate with one sterile neutrino and a 4x4 U-matrix. The sterile neutrino-active neutrino mass differences ... More

Polarized Gravitational Waves from Cosmological Phase TransitionsMay 13 2015Jul 23 2015We estimate the degree of circular polarization for the gravitational waves generated during the electroweak and QCD phase transitions from the kinetic and magnetic helicity generated by bubble collisions during those cosmological phase transitions.

Sterile Plus Active Neutrinos and Neutrino OscillationsSep 19 2013Using a 3 + 1 neutrino model with one sterile and the three standard active neutrinos with a 4x4 unitary transformation matrix, U, relating flavor to mass neutrino states, the probability of $\nu_\mu$ to $\nu_e$ transition is estimated using sterile-active ... More

Edgeworth Expansion of the Largest Eigenvalue Distribution Function of GOEJan 17 2008In this paper we focus on the large n probability distribution function of the largest eigenvalue in the Gaussian Orthogonal Ensemble of n by n matrices (GOEn). We prove an Edgeworth type Theorem for the largest eigenvalue probability distribution function ... More

Alternative Space-Time for the Point MassJan 14 2002Schwarzschild's actual exterior solution (Gs) is resurrected and together with the manifold M is shown to constitute a space-time possessing all the properties historically thought to be required of a point mass. On the other hand, the metric that today ... More

The Total Space-Time of a Point Charge and Its Consequences for Black HolesFeb 12 2001Singularities associated with an incomplete space-time (S) are not uniquely defined until a boundary is attached to it. [The resulting space-time-with-boundary will be termed a "total" space-time (TST).] Since an incomplete space-time is compatible with ... More

The Total Space-Time of a Point-Mass When the Cosmological Constant is Nonzero and Its Consequences for the Lake-Roeder Black HoleFeb 12 2001Singularities associated with an incomplete space-time (S) are not well-defined until a boundary is attached to it. Moreover, each boundary gives rise to a different singularity structure for the resulting total space-time (TST). Since S is compatible ... More

Final State Interactions and the Transverse Structure of the PionDec 30 2009In the factorized picture of semi-inclusive deep inelastic scattering the naive time reversal-odd parton distributions exist by virtue of the gauge link which is intrinsic to their definition. The link structure describes initial/final-state interactions ... More

Graviton Propagator in a Covariant Massive Gravity TheoryMay 10 2007We study the massive gravity theory proposed by Arkani-Hamed, Georgi and Schwartz. In this theory, the graviton becomes massive when general covariance is spontaneously broken through the introduction of a field that links two metrics, one of the which ... More

Non-perturbative effects of vacuum energy on the recent expansion of the universeMay 10 1999Jun 11 1999We show that the vacuum energy of a free quantized field of very low mass can significantly alter the recent expansion of the universe. The effective action of the theory is obtained from a non-perturbative sum of scalar curvature terms in the propagator. ... More

Cool horizons for entangled black holesJun 03 2013Jul 11 2013General relativity contains solutions in which two distant black holes are connected through the interior via a wormhole, or Einstein-Rosen bridge. These solutions can be interpreted as maximally entangled states of two black holes that form a complex ... More