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Abraham–Lorentz force

Book Blurb: Abraham–Lorentz Force Delve into the intricate world of electrodynamics with Abraham–Lorentz Force, a comprehensive exploration that spans over a century of scientific discovery. This book takes you on a journey from the foundational principles of classical electrodynamics, as established by Maxwell and Lorentz, through the early developments in radiation reaction and the formulation of the non-relativistic Abraham–Lorentz force. It then ventures into the realm of relativity with detailed analyses of the Abraham–Lorentz–Dirac equation and its modern extensions, including alternate formulations such as the Landau–Lifshitz approach. At its core, Abraham–Lorentz Force bridges the gap between theory and experiment. Readers will discover advanced theoretical perspectives, delve into experimental investigations that test these ideas, and explore how collective phenomena in plasmas and quantum theories converge to shape our understanding of self-interaction. The latter chapters address future directions and unresolved questions, challenging the reader to consider the classical–quantum transition, self-force problems in quantum gravity and string theory, and even the quest for a grand unified theory. Structured into twelve meticulously organized chapters, the book begins with: • Chapter 1: Foundations of Classical Electrodynamics – Laying the groundwork with Maxwell’s equations and the Lorentz force. • Chapter 2: Early Developments in Radiation Reaction – Tracing the pioneering work that first identified the self-interaction of accelerating charges. • Chapter 3: The Non-Relativistic Abraham–Lorentz Force – Analyzing the classical self-force in low-speed regimes. • Chapter 4: Relativistic Extensions and the Abraham–Lorentz–Dirac Equation – Extending the theory into the relativistic domain. • Chapter 5: Alternate Formulations and the Landau–Lifshitz Approach – Introducing pragmatic alternatives that avoid pathological predictions. • Chapter 6: Advanced Theoretical Perspectives – Exploring cutting-edge ideas that push the boundaries of current models. • Chapter 7: Experimental Investigations and Observations – Reviewing key experiments that validate and challenge theoretical predictions. • Chapter 8: Collective Phenomena in Plasmas – Examining how self-interaction affects the dynamics of complex plasma systems. • Chapter 9: Connections to Quantum Theories – Linking classical concepts to quantum electrodynamics and beyond. • Chapter 10: Future Directions and Unresolved Questions – Highlighting emerging research frontiers and ongoing challenges. • Chapter 11: Appendices – Providing essential mathematical identities, notational conventions, and historical documents. • Chapter 12: Analysis of References in Electrodynamics and Radiation Reaction – Evaluating the significance and impact of seminal works in the field. This book is an indispensable resource for PhD students, researchers, and professionals seeking to gain a deep, nuanced understanding of radiation reaction and self-interaction. It blends rigorous theory with practical insights, supported by extensive historical context and modern experimental evidence. With clear explanations, vivid analogies, and carefully structured content, Abraham–Lorentz Force not only encapsulates the evolution of electrodynamics but also illuminates the future directions of this dynamic field.
Andrew_Bardsley · 245 Views

Imperium Maghrebium, the tale of the creation of a Great Empire:French

#KINGDOMBUILDING #MILITARY #SLICEOFLIFE Un groupe d'amis en la noirceur de la nuit se font dévorer par un phénomène pour qui le mot d'étrange n'est point suffisant a le décrire . Années 1200 les Almohade/Al Muwahhidun une entité surpuissante règne en maître sur l'Afrique du nord et la péninsule Ibérique , rien et personne n'aurait pus prédire que cette même superpuissance vivait ses dernières heures de gloire et qu'une sombre ère qui allait durer la moitié d'un siècle pointait son nez sur le cœur de cet empire du Maghreb . Nos protagonistes se retrouvent en plein dans la tourmente de cette période trouble où Sultans/Califes de l'empire se succèdent a un rythme alarmant rappelant la période l'Empire Romain d'Occident , la criminalité connais une hausse , l'empire recule de face aux chrétiens Ibériques et les dynasties vassales à l'empire , pour la première fois depuis 2 siècles les routes commerciales transSaharienne , d'Al Andalus et du Maghreb son sujettes à des raids constants des bandits et criminels en tous genres , le commerce ralentit , l'instabilité se repend , les vivres et marchandises ne circulent plus , les famines accompagnées d'épidémies se déclarent dans tous l'empire , les officiers et bureaucrates de l'empire meurts de façon étrange et misterieuse , ceux qui leur succèdent ne font chaque années que renforcer leur image d'incompétence et de corruption , tous dans l'empire espèrent un messie qui les sauveras eux et cet dernier rempart de l'Occident islamique des loups affamés d'Europe . que fera nos protagonistes pour survivre et vivre en cette période trouble et confuse ? parviendront ils a survivre face aux imprévus de la vie en cet empire qui n'est qu'une simulations titanesques du concept de décadence. English version A group of friends in the dark of night are devoured by a phenomenon for which the word "strange" is not enough to describe it. In the year 1200, the Almohads/Al Muwahhidun, an overpowering entity, reigned supreme over North Africa and the Iberian Peninsula. Nothing and no-one could have predicted that this same superpower was living out its final hours of glory and that a dark era that would last half a century was about to dawn on the heart of this Maghreb empire. Our protagonists find themselves in the midst of the turmoil of this troubled period, when the empire's sultans and caliphs succeed one another at an alarming rate, reminiscent of the period of the Western Roman Empire, crime is on the rise, the empire is retreating in the face of the Iberian Christians and the dynasties vassal to the empire, for the first time in 2 centuries the trans-Saharan trade routes of Al Andalus and the Maghreb are subject to constant raids by bandits and criminals of all kinds, Trade was slowing down, instability was spreading, food and goods were no longer circulating, famines accompanied by epidemics were breaking out throughout the empire, the empire's officers and bureaucrats were dying in strange and misterious ways, and those who succeeded them every year only reinforced their image of incompetence and corruption, everyone in the empire was hoping for a messiah who would save them and this last bulwark of the Islamic West from the the hungry wolves of Europe. What will our protagonists do to survive and live in these troubled and confused times? Will they manage to survive in the face of the unforeseen events of life in this empire, which is nothing more than a titanic simulation of the concept of decadence?
KaiserRayane · 11.6K Views
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