The Applicability of Mathematics and The Naturalist Die

Philosopher and Christian apologist William Lane Craig has proposed a valid deductive argument for God’s existence that is rooted in the applicability of mathematics to the physical universe. This argument was presented by Craig during a debate with philosopher and atheist Alex Rosenberg. During the debate, Rosenberg presented a rebuttal to the soundness of this argument by appealing to chance as an explanation to the applicability of mathematics to the physical universe. In this talk, the presenter will discuss how the naturalist die is unable to produce “chance application” of mathematics while defending the soundness of the argument in light of the ontology of mathematics. In passing, the problem of abstract objects and God will be addressed

Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon

We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can be written in terms of these eigenvalues. In the uncharged case this immediately leads to the unique and explicit determination of the Kerr metric in terms of the spectrum of the event horizon. Robinson's ``no hair" theorem now yields the corollary: One can ``hear the shape" of noncharged stationary axially symmetric black hole space-times by listening to the vibrational frequencies of its event horizon only.Comment: Final version with improved abstract, updated references, corrected typos, and additional discussio

Servicio de transporte mediante el uso de la bicicleta bajo economía colaborativa en la ciudad de Bogotá.

Análisis para el desarrollo de un proyecto aplicado para el servicio de transporte seguro, confiable a bajo costo mediante el uso de la bicicleta Tándem, para beneficiar la movilidad en la ciudad de Bogotá, aplicando las APPs o plataformas de uso móvil disponibles en el mercado Colombiano, de forma segura y confiable para que la empresa “LlegueYa!” se convierta en una solución significativa a la problemática del transporte masivo y amigable con el medio ambiente incrementando así el bienestar general de los ciudadanos.Development Analysis of a applied project to the safe, reliable and low-cost transport service through the use of the Tandem bicycle, to benefit mobility in the city of Bogotá, applying the APPs or mobile platforms available in the Colombian market , in a safe and reliable way so that the company "LlegueYa!" becomes a significant solution to the problem of mass transportation and friendly to the environment, thus increasing the general welfare of citizens

The Degenerate Parametric Oscillator and Ince's Equation

We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic oscillators. Exact time-dependent wave functions and their connections with dynamical invariants and SU(1,1) group are also discussed.Comment: 10 pages, no figure

Concentrados ecológicos, una alternativa sostenible para especies pecuarias

En la cartilla se exponen fundamentos que son la base del proyecto “elaboración de concentrados ecológicos a partir de forrajes verdes como alternativa alimenticia de las unidades productivas pecuarias del centro agropecuario y de biotecnología el porvenir. Se exponen términos básicos asociados al proyecto y se presenta contenido temático relativo al desarrollo de una técnica a partir de la transformación de forrajes verdes para la producción de alimento de bajo costo en unidades productivas pecuarias.The primer sets out the fundamentals that are the basis of the project “elaboration of ecological concentrates from green forages as a food alternative for the livestock production units of the El Porvenir agricultural and biotechnology center. Basic terms associated with the project are presented and thematic content related to the development of a technique based on the transformation of green forages for the production of low-cost feed in livestock production units is presented.Desarrollo de una técnica a partir de la transformación de forrajes verdes para la producción de alimento de bajo costo en unidades productivas pecuaria -- .Modo de preparación y materias primas -- Alimentación de especies pecuarias en pequeños y medianos productoresna28 página

Quantum Integrals of Motion for Variable Quadratic Hamiltonians

We construct the integrals of motion for several models of the quantum damped oscillators in nonrelativistic quantum mechanics in a framework of a general approach to the time-dependent Schroedinger equation with variable quadratic Hamiltonians. An extension of Lewis-Riesenfeld dynamical invariant is given. The time-evolution of the expectation values of the energy related positive operators is determined for the oscillators under consideration. A proof of uniqueness of the corresponding Cauchy initial value problem is discussed as an application.Comment: 32 pages, no figure

Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields

We construct an explicit solution of the Cauchy initial value problem for the time-dependent Schroedinger equation for a charged particle with a spin moving in a uniform magnetic field and a perpendicular electric field varying with time. The corresponding Green function (propagator) is given in terms of elementary functions and certain integrals of the fields with a characteristic function, which should be found as an analytic or numerical solution of the equation of motion for the classical oscillator with a time-dependent frequency. We discuss a particular solution of a related nonlinear Schroedinger equation and some special and limiting cases are outlined.Comment: 17 pages, no figure