Singularities

Abstract. This paper will demonstrate that the transportation of high energy subatomic particles through wormholes occurs at superluminal speeds through an ‘elastic ’ wormhole entity which adjusts its diameter based upon the kinetic energy of the subatomic particle. Additionally, it is shown that the diameters of such wormholes are of sub-Planckian lengths for energetic subatomic particles. This is demonstrated by the use of the Phi-based solution to the Schrödinger wave equation, the theorem of residues and the Cauchy integral formula of complex analysis. Furthermore, it will be shown that a possible quantum gravitational constant called the Giandinoto-Amoroso-Rauscher Quantum Gravitational Constant (GAR-QGC) may be the quantal unit of the hypothetical spin-2 graviton. It will also be shown that the expansion of the universe at the Planck time occurred with a kinetic energy of approximately 4.14 x 1029 eV.

FROM THE BACK COVER: What is the essential nature of meaning? . . . . . This book answers by examining interpretive theories from the past and present. It finds that an historical struggle with meaning has been underway since the Reformation, a struggle that reaches crisis proportions in the 20th century. On the one hand, this crisis is mollified by Heidegger's hermeneutical phenomenology, which argues that we are always already in a meaningful relationship to the objects of the world. On the other hand, this crisis is exacerbated when phenomenology, structuralism, and aesthetic theory directly make meaning into an object of study. . . . . . . . . These historical developments culminate with the psychoanalyst Jacques Lacan, whose non-hermeneutical phenomenology delimits a cause of meaning said to be closely linked to the core of subjectivity. Intriguingly, Lacan's work reveals meaning to be sexual in nature. By integrating his notion of sexual difference with his work in discourse theory and topology, this book demonstrates how the subject's struggle with meaning can be suspended.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . GENERAL DESCRIPTION: Broadly speaking, the majority of books on Jacques Lacan focus on the earlier periods of his career. They also tend to target the psychoanalytic clinical community, or else discuss his work in various political, social, and cultural contexts. But in almost all cases these books refrain from a detailed exegesis of his actual texts. They instead prefer to comment on his theoretical apparatus as a whole before turning to its practical implications. . . . . . This book positions itself against this grain. Firstly, it closely analyzes some half-dozen key Lacanian texts. This analysis is organized under a single thematic – the question of meaning – in order to advance the reader's understanding of the trajectory of Lacan's thought across his entire career, as well as to promote the book's thesis that the field of meaning can be suspended. Accordingly, an initial chapter takes up the hermeneutical tradition from Flacius onward. This is then supplemented by a chapter which surveys phenomenological, structuralist and aesthetic theories of meaning and their differing methods of textual analysis. Together these two chapters provide a unique context for the sustained analysis of Lacan's texts which begins in the third chapter, an analysis that forms the bulk of the book's content. This contextualization potentially widens the book's appeal to any scholar wishing to explore his relationship to those textual objects he interacts with on a daily basis. And because this book assumes the reader has little to no familiarity with Lacan, the reader will find patient explanations of the basics of his theories before slowly being led up to the more difficult theories of his late years. Again the argument is that Lacan has something to offer all scholars. His work is not just reserved for psychoanalysts. . . . . . It is with his late theories that the serious student of Lacan will find the book's most original contribution. For in the fourth chapter a detailed account is provided of how Lacan derived his infamous formulae of sexuation from Aristotelian logic. These formulae are then extensively discussed against the backdrop of interpretive theory and textual analysis, showing how these formulae capture much more than just the difference between the sexes. Strikingly, this difference is also found to run through meaning itself, something the final chapter aims to demonstrate. It does this by amalgamating three key components of late-Lacan: sexuation, discourse theory and his use of topological spaces. This amalgamation is a first in the literature. But this amalgamation is not just useful in demonstrating the book's thesis. It further suggests how seemingly divergent aspects of late-Lacanian theory can be made to work together.

"ABSTRACT:
    This study assumes the subject's pursuit of meaning is generally incapacitating and should be suspended. It aims to demonstrate how such a suspension is theoretically accomplished by utilizing Lacan's formulae of sexuation integrated with his work in discourse theory and topology.
    Part I places this study into context by examining scholarship from the established fields of hermeneutics, phenomenology, (post)structuralism, aesthetic theory and psychoanalysis in order to extract out their respective theory of meaning. These theories reveal that an historical struggle with meaning has been underway since the Reformation and reaches near crisis proportions in the 20th century. On the one hand this crisis is mollified by the rise of Heideggerian-Gadamerian hermeneutical phenomenology which questions traditional epistemological approaches to the text using a new ontological conceptualization of meaning and a conscious rejection of methodology. On the other hand this crisis is exacerbated when the ubiquitous nature of meaning is itself challenged by (post)structuralism's discovery of the signifier which inscribes a limit to meaning, and by the domains of sense and nonsense newly opened up by aesthetic theory. These historical developments culminate in the field of psychoanalysis which most consequentially delimits a cause of meaning said to be closely linked to the core of subjectivity.
    Part II extends these findings by rigorously constructing out of the Lacanian sexuated formulae a decidedly non-hermeneutical phenomenological approach useful in demonstrating the sexual nature of meaning. Explicated in their static state by way of an account of their original derivation from the Aristotelian logical square, it is argued that these four formulae are relevant to basic concerns of textual theory inclusive of the hermeneutical circle of meaning. These formulae are then set into motion by integrating them with Lacan's four discourses to demonstrate the breakdown of meaning. Finally, the cuts and sutures of two-dimensional space that is topology as set down in L'étourdit are performed to confirm how the very field of meaning is ultimately suspended from a nonsensical singular point known in Lacanian psychoanalysis as objet a. The contention is that by occupying this point the subject frees himself from the debilitating grip of meaning."

This thesis studies from the point of view of model theory and topology certain classes of real functions : restricted quasi-analytic functions. Here, a restricted quasi-analytic class E will consist on the one hand of a ring of real functions C ∞, which vanish outside a compact box, containing the indicator functions of every compact box and which is closed by composition, rational powers, implicit functions and C ∞ division. On the other hand, we will require every C ∞ function around 0 either to vanish around 0 or to have a finite multiplicity. For such a given class E, we consider the language L which contains the langage of rings, a symbol for each function of E and one more for the order ; we study the
universal theory T in the language L such that T contains the theory of ordered rings and the universal axioms which define the indicator functions of compact boxes, rational powers, implicit functions, C ∞ division, the simple diagram of R (real numbers) and the boundedness of the functions of E on a compact box. We prove that T is equivalent to the complete theory of R in the language L and is model-complete. In particular, T admits quantifiers elimination because T is universal. Furthermore, T is o-minimal and admits local cellular decompositions in terms of E.

We develop a mathematical framework for describing local features of a geometric object—such as the edges of a square or the apex of a cone—in terms of algebraic topological invariants. The main tool is the construction of a "tangent complex" for an arbitrary geometrical object, generalising the usual tangent bundle of a manifold. This framework can be used to develop algorithms for automatic feature location. We give several examples of applying such algorithms to geometric objects represented by point-cloud data sets.

This paper deals with the concept of singularity with a special regard to the problem of historical singularity. On the one hand, attention is devoted to contemporary thinkers such as Sartre, Badiou, Deleuze, Basso, Hallward, Hardt/Negri and Agamben, in order to reconstruct the main dilemmas and challenges. The author then confronts these thinkers by taking into consideration the key notions of these debates: universality, representation, difference/indifference, individuality, multiplicity, contingency, creativity. On the other hand, this paper focuses on the debates over the singularity of the Holocaust by applying the insights of the previous Begriffsgeschichte of singularity. An excursus is devoted to Fatelessness, written by Imre Kertész.

We explore the character of finite-time singularities that are possible to arise in FRW universes and in specific braneworld configurations. For FRW universes, we derive a first classification of singularities that is based on the behaviour of the Hubble rate. We further extend and complete this classification with the use of the Bel-Robinson energy. The braneworld models that we study consist of a three-brane embedded in a five-dimensional bulk space that is inhabited by a scalar field or a perfect fluid. Our analysis that is performed with the method of asymptotic splittings shows that these braneworlds can exhibit three main types of singularities that arise within finite distance from the brane.

We consider a specific type of singularities for kinematic chains, so-called point singularities. These were characterized in 2005 by Borcea and Streinu. We give a new proof for this result in the framework of the Exterior Algebra. As an illustration we give an exhaustive list of the point singularities of a specific robot manipulator.

Einstein’s equation is rewritten in an equivalent form, which remains valid at the singularities in some major cases. These cases include the Schwarzschild singularity, the Friedmann-Lemaître-Robertson-Walker Big Bang singularity, isotropic singularities, and a class of warped product singularities. This equation is constructed in terms of the Ricci part of the Riemann curvature (as the Kulkarni-Nomizu product between Einstein’s equation and the metric tensor).

Abstract. We describe two situations where adding the adjoint divisor to a divisor D with smooth normalization yields a free divisor. Both also involve stability or versality. In the first, D is the image of a corank 1 stable map-germ (Cn, 0) → (Cn+1, 0), and is not free. In the second, D is the discriminant of a versal deformation of a weighted homogeneous function with isolated critical point (subject to certain numerical conditions on the weights). Here D itself is already free. We also prove an elementary result, inspired by these first two, from which we obtain a plethora of new examples of free divisors. The presented results seem to scratch the surface of a more general phenomenon that is still to be

An analysis of curvature in woven meshes, through understanding of basic properties of a triaxial or kagome lattice, a traditional basket weaving technique.
Following a finite set of mathematical weaving rules, topologically distinct shapes, from surfaces to curves to solids, may be represented in 3D. Under this unifying framework, a universal and modular system emerges for the design, representation and construction of lightweight, flexible models of polyhedral forms, architectural shapes, high-genus surfaces, knots and links.

This article explores the multiple modes of valuation that pervade newsmaking in economic journalism. It does so by exploring the different ways in which journalists at Valor Econômico, the leading economic newspaper in Brazil, compete and cooperate in the production of news. Valor is a paradigmatic case for discussing valuation practices in newsmaking since its institutional promise is to produce news of value. How, if at all, do Valor journalists embrace the promise of producing news that generates value? Elaborating on Stark’s (2009) idea of dissonance, it is contended that different orders of worth collide and cooperate within Valor newsroom. Moreover, journalists engage in a variety of valuation practices through which these orders of worth are shaped, defined and refined, reflecting different understanding of economy and society, and different conceptions of what journalism is good for. I argue that Valor’s direction intentionally fosters a plural space of value dissonance in order to improve the quality of news reporting. I emphasise, however, that these dissonances are only productive against a larger background of consonance about what actually there is to disagree about. The article is based on a 7-month ethnography of Valor’s newsroom in São Paulo between 2013, 2014 and 2015.

The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincare dual of the) Hirzebruch class of the virtual tangent bundle of X and, respectively, the Brasselet-Schuermann-Yokura (homology) Hirzebruch class of X. In this note, we calculate the Milnor-Hirzebruch class of a globally defined algebraic hypersurface X in terms of the corresponding Hirzebruch invariants of singular strata in a Whitney stratification of X. Our approach is based on Schuermann's specialization property for the motivic Hirzebruch class transformation of Brasselet-Schuermann-Yokura. The present results also yield calculations of Todd, Chern and L-type characteristic classes of hypersurfaces.

http://www.legitgov.org/Shaming-Shunning-Part-II-You-Must-Be-Rightwing-Nut-job

One of the many difficulties that attends a mass attack by hordes of cyber-critics is getting around to answering them. I would never try respond to every critic, for, as the late O.W. Crane often admonished me: "If you stop for every barking dog, your path will never end." Yet I have wanted to address at least the most egregious cases and also to answer one or two of the predominate types.

A multivariable model reference adaptive control algorithm is presented for the case when the high-frequency gain matrix is unknown. Only an upper bound on the norm of the matrix needs to be known a priori. A transformation of the parameters, with a sort of hysteresis, is used to guarantee that a controller matrix, which is normally the inverse of the