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Selected Special Functions for Fundamental Physics
This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.
Philosophical Essays
A collection of personal essays in philosophy of science (physics, especially gravity), philosophy of information and communication technology, current social issues (emotional intelligence, COVID-19 pandemic, eugenics, intelligence), philosophy of art, and logic and philosophy of language. The distinction between falsification and refutation in the demarcation problem of Karl Popper Imre Lakatos - Heuristics and methodological tolerance Isaac Newton on the action at a distance in gravity: With or without God? Causal Loops in Time Travel The singularities as ontological limits of the general relativity Epistemology of Experimental Gravity - Scientific Rationality Philosophy of Blockchain Tec...
Breakdown Of Einstein's Equivalence Principle
An equality between inertial and gravitational masses was established by Galileo Galilei more than 400 years ago and was accepted by Albert Einstein as a key point of his theory of gravitation — General Relativity. The above mentioned equality is called the Equivalence Principle. In this pioneering book, some unusual situations are described, where the Equivalence Principle is theoretically broken, and the possible experiments, where such breakdowns can be observed, are discussed in a brief. It is known that, in standard situations, the Equivalence Principle is extremely well established on Earth and in space in numerous experiments, including experiments during the recent space mission MICROSCOPE. Therefore, this book suggests a real breakthrough in the better understanding of Einstein's gravitational theory and its relation to quantum mechanics, which is a definite step towards the so-called 'Theory of Everything'. This book is recommended for all readers who are interested in gravitation and General Relativity.
Epistemology of Experimental Gravity - Scientific Rationality
The evolution of gravitational tests from an epistemological perspective framed in the concept of rational reconstruction of Imre Lakatos, based on his methodology of research programmes. Unlike other works on the same subject, the evaluated period is very extensive, starting with Newton's natural philosophy and up to the quantum gravity theories of today. In order to explain in a more rational way the complex evolution of the gravity concept of the last century, I propose a natural extension of the methodology of the research programmes of Lakatos that I then use during the paper. I believe that this approach offers a new perspective on how evolved over time the concept of gravity and the m...
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
Introduction to gauge/string duality and its applications to quark-gluon plasma for researchers in string theory and quantum field theory.
Epistemologia gravitației experimentale – Raționalitatea științifică
Evoluția testelor gravitaționale dintr-o perspectivă epistemologică încadrată în conceputul de reconstrucție rațională al lui Imre Lakatos, pe baza metodologiei acestuia a programelor de cercetare. Perioada evaluată este foarte vastă, începând cu filosofia naturală a lui Newton și până la teoriile gravitației cuantice din zilele noastre. Pentru a explica mai rațional evoluția complexă a conceptului de gravitație din ultimul secol, propun o extindere naturală a metodologiei programelor de cercetare pe care o folosesc apoi pe parcursul lucrării. Consider că această abordare oferă o nouă perspectivă asupra modului în care au evaluat în timp conceptul de gravitaț...
Eseuri filosofice
O colecție personală de eseuri din filosofia științei (fizică, în special gravitație), filosofia tehnologiei informațiilor și comunicații, problemele sociale actuale (inteligența emoțională, pandemia COVID-19, eugenia, serviciile de informații), filosofia artei și logica și filosofia limbajului. Distincția dintre falsificare și respingere în problema demarcației la Karl Popper Reconstrucția rațională a științei prin programe de cercetare Imre Lakatos - Euristica şi toleranţa metodologică Controversa dintre Isaac Newton şi Robert Hooke despre prioritatea în legea gravitaţiei Isaac Newton despre acțiunea la distanță în gravitație Buclele cauzale în călăto...
Epistémologie de la gravité expérimentale - Rationalité scientifique
L'évolution des tests gravitationnels dans une perspective épistémologique encadré dans le concept de reconstruction rationnelle d'Imre Lakatos, fondée sur sa méthodologie de programmes de recherche. Contrairement à d'autres travaux sur le même sujet, la période évaluée est très longue, allant de la philosophie naturelle de Newton aux théories de la gravité quantique d'aujourd'hui. Afin d'expliquer de manière plus rationnelle l'évolution complexe du concept de gravité du siècle dernier, je propose une extension naturelle de la méthodologie des programmes de recherche que j'utilisais ensuite au cours de la communication. Je pense que cette approche offre une nouvelle perspe...
Essais philosophiques
Une collection personnelle d'essais en philosophie des sciences (physique, en particulier la gravité), philosophie des technologies de l'information et de la communication, enjeux sociaux actuels (intelligence émotionnelle, pandémie COVID-19, eugénisme, renseignement), philosophie de l'art, et logique et philosophie du langage . La distinction entre falsification et rejet dans le problème de la démarcation de Karl Popper La reconstruction rationnelle de la science par le biais des programmes de recherche Isaac Newton vs Robert Hooke sur la loi de la gravitation universelle Isaac Newton sur l'action à distance en gravitation : Avec ou sans Dieu ? Boucles causales dans le voyage dans le...
Mathematical Reviews
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