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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 · 158 Views

A Wolf's Howl, A Fairy's Wing

This story is about love, revenge, the quest for power, and the right to exist. After being betrayed by his childhood crush and losing his loved ones to a human raid, Erik, a werewolf, ends up on another planet for seven years before he returns to a vastly changed, post-apocalyptic Earth. Originally a timid, unadventurous man, Erik has become far more dominant and assertive upon his return. Together with him comes his beloved but ruthless soul-bound partner and fairy, Elora, who wants Erik to rule and conquer with her by his side. Elora's presence alone makes Erik more powerful than others at this level, but will he find out what else makes him special? Follow them as they use the knowledge and strength they gained on Söl to navigate an Earth filled with magic, vampires, shapeshifters, and more. Along the way, Erik and Elora will meet a diverse cast of characters, some of whom Erik might have known in the past, and some he did not, but all with their own story and desires. Will Erik be able to take revenge for the betrayals of the past? And what else will he discover along the way? ****** Disclaimer: There will be some R18 scenes, but most of the time, they will be a part of character development and not simply smut. In other words, if you decide to skip them, you'll likely miss out on some character development, but I promise to keep plot development out of it. No NTR No Yuri (there might be interactions between girls when there is a scene with the MC and more than one woman, though the MC will always be the focus. To be clear, yuri means a romantic/physical relationship between two women, meaning no two women will ever have sexual interactions with each other without the MC present. That said, Elora enjoys serving women up to him on a platter, and watching him have sex with them. She enjoys dominating, observing. and playing with the other women in the MC's harem together with him, and thus will occasionally join him in such a way. I don't believe any of that is technically yuri, but I understand that my interpretation is debatable and if any of those things weird you out, I advice you to avoid this novel.)
FrostyPaws · 983.9K Views

Dungeon of Niflheim

In the grand world of Nova, many different races exist such as elves, humans, dwarves and beastmen and through years of war, strife and competition the world has grown, becoming home to great empires and countries throughout the oceans and five continents. However, to the great creators the world has become stagnant and boring, ever since the calamity that was the Church of Light and their Holy White empire. Now the Dark God has created a new race after years upon years of dedicated effort. A species that is like none other and his hope for Nova’s future….Dungeon cores, beings that have the ability to reshape the very world itself, entering the domain of the gods. Join Frost a newly born first generation Dungeon core as he embarks upon his journey within Nova and carves out his place in the world. How will the world’s current denizens react to his birth? Will they be friends or foes? And most of all how the Light God react to this new addition to the world, will he accept them or seek to destroy them? This novel incorporates dungeon building and management but most of that won't fully take off until the later volumes when Frost has much more floors and money to play around with. This is not a solely dungeon story as the MC Frost will have to explore and interact with the world of Nova much like how an adventurer would and forewarning the story is slow. There's a lot of details and avenues which the story goes into, not simply battles, wars and action, it follows all aspects of Frost's life, his growth and interactions with Nova not only as a Dungeon core but also as a person.
Sword_immortal1 · 1.8M Views
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