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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 · 282 Views

Reign of the Infinite Shifter

In a kingdom where bloodlines dictate power, Prince Kaelen Varenthis was destined to rule, but fate has other plans. Born into a long line of kings, Kaelen is the heir to a throne embroiled in political turmoil and bloodshed. His family has long wielded the power of Form Shifting—a mystical ability to transform one's body and essence into powerful beasts, elemental forces, and even abstract concepts like time and shadow. However, Kaelen's Form Shifting abilities far exceed those of anyone in the kingdom, even his ancestors. At the height of his coming-of-age ceremony, a deadly rival faction orchestrates the elimination of his siblings, thrusting Kaelen into the heart of a ruthless battle for the throne. With his kingdom divided and enemies lurking in every corner, Kaelen must master the full extent of his powers and reshape not only his own destiny but that of the entire kingdom. The Form Shifting system is a complex and taxing art—each form requires mental strength, physical endurance, and spiritual fortitude. As Kaelen learns to harness his abilities, he discovers that he can alter not only his own form but also the infrastructure of his kingdom—crafting cities, technologies, and even bending nature itself to his will. But with great power comes even greater challenges. The more versatile the form, the greater the toll it takes on his body and soul. As Kaelen works to reunite the fractured kingdom, he must navigate political intrigue, forge powerful alliances, and defend his people from both external invasions and internal betrayals. With every step, he learns that true power is not just in shifting forms but in forging a vision of the future—a vision that can unite the fractured factions and build a new era of prosperity. But Kaelen's rise will not be without sacrifice. To conquer the shifting tides of politics, master his powers, and build a legacy, he must decide how much of himself he's willing to lose. Will he overcome the limitations of his Form Shifting abilities, or will the infinite power that courses through him be his undoing?
Keyon69Art · 4.5K Views

Rise Of The Infinite Sovereign

Kevin Reed gained enlightenment at the brink of death, as he sees the one he pledged allegiance to, and some long-time comrades betray him. He closes his eyes one last time thinking, 'If only I had known' Yet against all odds, he finds himself back in time in the body of the fourth prince of the royal family of a soon-to-fall Empire. This is the story of a Knight who uses the machinations of an Empire to take his revenge on all those who betrayed him. A man who uses the knowledge of the future to get the best out of every situation. A man preparing for the coming of the Era of Prodigies and Disaster. But he would have to challenge adversity if he is to bring his ambitions to fruition. So come along on his journey filled with twists and turns, enemies and thorns. As we see the knowledge of the future is used at its best. But no one, not even Ezra, could've predicted just how much Chaos this single irregularity would cause. So join us to witness Ezra, as he rises from humble beginnings, well... maybe not so humble, to becoming a peerless existence. As he rises from the ashes to become a True Sovereign! This is the rise...of the Infinite Sovereign! Discord server: discord.gg/FpBqWR7Pzf ------------------------------------ A/N: This book is written with a pace in relation to the events. It's written in a pace that neither slow enough to cause boredom nor fast enough to cause confusion. It's just right. In this novel, too much is always happening all at once. what do i mean? read to find out. And while this novel's title doesn't seem to have correlation to the story in the beginning. It was titled in regards to events in the long term. ----------------------------------------- WARNING!: Read at least five Chapters before drawing any conclusions ---------------------------------------------- Release Rate: 1ch/day.
VOID_ · 1.9M 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 · 66.3K Views
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