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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 · 195 Views

Born of fire and hunger

In the greater part of human kind there resides an instinct for survival. It is this which can clutch at straws and affect a rescue from them. It is this which can, now and then, outwit fate : Tanith Lee There are moments in life when you don't know what to do. Some of these moments can be good, like when a father holds his first newborn baby for the first time and realises he has no idea what to do. Or when somoene who has worked his entire life without stop finally retires and doesn't know what to do with his free time cause he's never had any. An then there's me, somoene about to have possibly the first of many so called "worst day of my life" as I stare at what is most likely a death sentence. You see for contexe, the world I am in is a little strange. Before you make any assumptions, this isn't an isekai where I get whisked off to some fantasy world to fixe some other peoples problems. At least not completely. The world I am in is strange in the fact that about 75 years ago, give or take one or two, a massive portion of the population vanished without a trace. Freaky I know, but not as freaky as when they came back and brought with them "magic". The laws of physics seemed useless and easy to ignore for these people. They could do incredible things. Flying through the air at unimaginable speeds, shooting fire from their fingers, moving mountains with their power. Even freezing time was within their reach. It was safe to say at this point that the world was going to change forever. Now listening to all this you'd probably say, wait Lucien isn't this awesome? Magic powers and all you have to do is dissapear for a while, isn't that a pretty good trade of? And normally you'd be right, but of the approximately 100 million who dissapeared, only 13 million came back. Not very good odds. Those that came back told stories of what they had to do. The trials they had to pass. Now this isn't some tower climbing story like you probably read in those webnovels. Every trial was unique to the person. Some where easy and some landed you in the 83 million that didn't come back. And naturally like any good fantasy story, the great dissapearance, as we came to call it, didn't happen just once. And so my story begins here, in the middle of the road, 75 years after the first great disappearance, staring into dead space. I would guess that the people who saw me would find me weird, after all I was staring at nothing. But I couldn't be bothered with them right now, and the reason was that I was indeed staring at something. Something that would change my fate forever. [Congratulations challenger] [You have been selected for the trial] [You will be transported in 30 seconds] ... Fuck. Author : this novel does have a system but it's not a leveling system, so if that's what you're looking for, this might not be for you.
Aidan_Rafferty · 2.8K Views

A Force To Be Reckoned With

WARNING!!! Heavy Violence, Graphic Imagery, Profanities, Discrimination, Racial Slur, Sexual Content, Offensive Jokes, Triggering Content In a rural area of the Philippines, an old man with his grandson lived peacefully in the wilderness. They managed to survive in a forest swarmed with beasts that could take their life away if they weren't aware of their surroundings. They were very far from the nearest residential village that inhabits people resulting in complete isolation from the rest of the world, well not 'that' isolated. Kaya, which means "The ability or capacity to accomplish things" is a 17-year-old boy who loves nothing more but the thrill of adventure. Despite being surrounded by powerful animals in the wild, he stood his ground as the apex predator and ruled all of the beasts. He'd lunge himself in a pack of hyenas and beat them all up with his iron fist, not to kill them but enough to strike fear into their furry hearts. He'd brawl it out on a troop of gorillas each weighing at least 400-500 pounds of pure muscle. Despite only sizing up in 100-200 pounds, he had enough battle prowess to beat the living shit out of these apes. He'd fought against these animals night and day without tiring himself. Despite being covered in battle scars and wounds, he enjoyed the thrill of fighting and adventure. He wants nothing more but freedom and independence. He wasn't a blockhead, he was smart, well not 'book smart' but intellectually smart. If he was placed in a pinch of a dire situation, he'd think of ways to get out of this predicament. This was not due to his intuition, rather, he was molded by his grandfather to have this type of mindset. Though they lived in seclusion, it didn't mean that they were ignorant not to know that there were also others like him. They had a small library of records of human civilization, but the majority of these books were martial arts manuals. They even have tapes to play on their run-down TV, that worked on solar panels, where they got these solar panels? He had no idea, his old man was stingy about this stuff. After leaving the forest and being introduced to a virtual reality game; Haven of God, he will start his adventure by leaving a trail of his legacy and lots and lots of blood. He will become a legend: A force to be reckoned with.
Kaya_Alon · 66.2K Views

Fire Mage

John Browning, a former underworld assassin, went to his friend Angele's wedding party but ended up meeting his former colleagues. Before he could think that the whole wedding ceremony was a setup to catch him, he felt dizzy all of a sudden! At that moment, he knew that his lifelong friend had already betrayed him and sold him out. John was humiliated in front of hundreds of people and was forced to kneel in front of Thomas, the underworld assassin organization leader. Within a few minutes, they beat him brutally, dragged him to some underground basement, and then locked him in a gloomy room. John felt bitter when thinking about his friend's betrayal. He laid on the cold floor for two days and died miserably. But his story didn't end there. … In a world filled with magic and mystic powers, John Browning woke up in an 18-year-old boy's body. Before he could open his eyes and see his current situation, he felt someone was dragging his body. 'How am I still alive?' He got puzzled inside. But after a few seconds, John learned from the young boy's remanent memories that he was transmigrated to a mystical fantasy game-like world filled with magic and mystic powers! [Author's Note: The Mc will take some time to walk on the path of a fire mage due to less information about the world. So, don't get mad at me guys. If you feel anything wrong with the story, feel free to give me a review or comment. I will try my best and correct it. Have a happy reading!] ... If someone wants to contact me, you can send a request to my Instagram account or just send a mail. Contact via: akauthor02@gmail.com Discord: https: https://discord.gg/mYwPPbs6 Instagram Id: https://www.instagram.com/akauthor02/?hl=en Cover Pic credit: RafaelMousob
Ak02 · 3.2M Views
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