Papers by Fernando D Sasse
Aspects on viscoelasticity modeling of HDPE using fractional derivatives: Interpolation procedures and efficient numerical scheme
Mechanics of Advanced Materials and Structures
Among the wide range of structural polymers currently available, this work deals with high-densit... more Among the wide range of structural polymers currently available, this work deals with high-density polyethylene (HDPE). The typical viscoelastic behavior of this material is not trivial to model an...
arXiv: General Physics, Sep 13, 2017
The so-called principle of relativity is able to fix a general coordinate transformation which di... more The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a reanalysis the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course.
Revista Brasileira de Ensino de Física, 2017
The so-called principle of relativity is able to fix a general coordinate transformation which di... more The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a reanalysis of the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course.
We prove that if the non-self-adjoint scalar wave equation satisfies Huygens’ principle on Petrov... more We prove that if the non-self-adjoint scalar wave equation satisfies Huygens’ principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wave equation.
Obtaining the Quantum Fourier Transform from the Classical FFT with QR Decomposition
Nonexistence of Petrov type III spacetimes on which Weyl’s neutrino equation or Maxwell’s equations satisfy Huygens’ principle
Abstract. — Extending previous results we show that there are no Petrov type III space-times on w... more Abstract. — Extending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell’s equations satisfy Huygens ’ principle. We prove the result by using Maple’s NPspinor package to convert the five-index necessary condition obtained by Alvarez and Wünsch to dyad form. The integrability conditions of the problem lead to a system of polynomial equations. We then apply Maple’s grobner package to show that this system has no admissible solutions. Résumé. — En prolongeant des résultats précédents, on démontre qu’il n’existe aucun espace-temps de type III de Petrov sur lequel l’équation de neutrino de Weyl ou les équations de Maxwell satisfait au principe d’Huygens. Nous prouvons le résultat par utilisant le logiciel NPspinor de Maple pour transformer la nouvelle condition à cinq indices obtenue par Alvarez et Wünsch en composants de repère spinoriel. A partir des conditions d’intégrabilité du problème, on obtient un système ...
Constraint Logic Programming Applied to the Resolution of a Problem of picking of Warehouse
In this paper we apply logical programming with constraints to the problem of minimizing operatio... more In this paper we apply logical programming with constraints to the problem of minimizing operational costs of a mobile agent that searches and moves objects in shelves, obeying a known physical configuration.
ABSTRACT- We prove that there are no Petrov type III space-times on which the conformally invaria... more ABSTRACT- We prove that there are no Petrov type III space-times on which the conformally invariant (self-adjoint) scalar wave equation or the non-self-adjoint scalar wave equation satisfies Huygens ’ principle. RÉSUMÉ- Nous prouvons qu’il n’existe aucun espace-temps de type III de Petrov sur lequel l’équation invariante conforme des ondes scalaires ou l’équation des ondes scalaires non-auto-adjoint satisfait au principe de Huygens.
On the exact relativistic dynamics of the Sagnac effect
Huygens' Principle for Weyl's Neutrino Equation and Maxwell's Equations in Petrov Type III Space-Times
The dispersion of nanoparticles in nanocomposites of an epoxy matrix reinforced with alumina (10n... more The dispersion of nanoparticles in nanocomposites of an epoxy matrix reinforced with alumina (10nm) and zinc oxide (100nm) is analyzed using FIB/FESEM images, varying the volumetric fraction of fillers from 0.2 % to 6.0 %. The nanofillers dispersion images were transformed to binary files and the multifractal spectrum was calculated. From these data the relation between agglomerate and individual particle dimensionalities related to the interphase percolation was investigated. Interphase percolation of nanocomposites should be achieved when the dimensionality of agglomerations is greater than the dimensionality of individual particles. The actual percolation state of the interphase is determined, matching the experimental nanocomposites behavior for electrical behavior at AC and dielectric breakdown at DC.
Spherically symmetric relativistic model for spiral galaxies and dense stars
ABSTRACT The behavior of the pressure and the density as well as the gravitational field of a den... more ABSTRACT The behavior of the pressure and the density as well as the gravitational field of a dense star are studied in some detail. For such a purpose and to take into account relativistic effects, we find a family of exact solutions of the Tolman-Oppenheimer-Volkov equation, which contains as a particular case solutions corresponding to a (gamma)-law equation of state. The mentioned family can also be used to model the (luminous or dark) matter content of spiral galaxies as it fits the observed data for their orbital velocities profiles.
Nous prouvons qu'il n'existe aucun espace-temps de type III de Petrov sur lequel l'eq... more Nous prouvons qu'il n'existe aucun espace-temps de type III de Petrov sur lequel l'equation invariante conforme des ondes scalaires ou l'equation des ondes scalaires non-auto-adjoint satisfait au principe de Huygens.
Antipodal universes in the topology h (sup 3) x r and s (sup 3) x r
We prove that if the non-self-adjoint scalar wave equation satisfies Huy- gens' principle on ... more We prove that if the non-self-adjoint scalar wave equation satisfies Huy- gens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wave equation. Resume — On demontre que la valite du principe de Huygens pour l'equation des onde scalaires non-auto-adjointe sur un espace-temps general de type III de Petrov implique que l'equation est ´ ´ l'equation invariante conforme des ondes scalaires.
Eprint Arxiv Math Ph 0504040, Apr 1, 2005
Extending previous results we show that there are no Petrov type III space-times on which either ... more Extending previous results we show that there are no Petrov type III space-times on which either the Weyl neutrino equation or Maxwell's equations satisfy Huygens' principle. We prove the result by using Maple's NPspinor package to convert the five-index necessary condition obtained by Alvarez and Wünsch to dyad form. The integrability conditions of the problem lead to a system of polynomial equations. We then apply Maple's grobner package to show that this system has no admissible solutions. Résumé.-En prolongeant des résultats précédents, on démontre qu'il n'existe aucun espace-temps de type III de Petrov sur lequel l'équation de neutrino de Weyl ou leś equations de Maxwell satisfait au principe d'Huygens. Nous prouvons le résultat par utilisant le logiciel NPspinor de Maple pour transformer la nouvelle conditionà cinq indices obtenue par Alvarez et Wünsch en composants de repère spinoriel. A partir des conditions d'intégrabilité du problème, on obtient un système d'équations polynomes. Nous employons donc le logiciel grobner de Maple pour démontrer qu'il n'existe aucune solution admissible de ce système.
We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Pe... more We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wave equation.
We prove that there are no Petrov type III space-times on which the conformally invariant (self-a... more We prove that there are no Petrov type III space-times on which the conformally invariant (self-adjoint) scalar wave equation or the non-self-adjoint scalar wave equation satisfies Huygens' principle.
The so-called principle of relativity is able to fix a general coordinate transformation which di... more The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a reanalysis of the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course.
Glory in Higher Dimensional Schwarzschild Black Holes
In this paper we study the propagation of massless scalar fields around a Schwarzschild-Tangherli... more In this paper we study the propagation of massless scalar fields around a Schwarzschild-Tangherlini black hole in 5 and 6 dimensions. The scattering matrix and the phase shifts are calculated using the Prüfer method. We analyse the glory effect and compare the results with the correspondent 4D cases. We show that the sensitivity of the correspondent gravitational lens decreases with the number of extra dimensions.
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Papers by Fernando D Sasse