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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 · 277 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

The Light Will Not Fade

For centuries, the noble House Concordia, humanity’s torchbearers, guided the world through its darkest days. Their sacrifices drove back the malevolent force known only as the darkness, banishing it from the material world in the cataclysmic Battle of Scarlet Rivers. But victory came at an immense cost: the death of their revered leader, the Sword Saint, and the fracturing of humanity’s unity. In the centuries that followed, greed and hubris consumed the fractured factions of mankind, leaving the Concordia family shunned and their warnings ignored. Now, in the year 677, the darkness stirs once more, its hunger for chaos and despair reignited by humanity's corruption. As cracks tear through reality, unleashing hordes of demons upon the great city of Emberfall, the darkness manifests in a terrible, humanoid form—arrogant, cruel, and unstoppable. The nobles of the Kaizen Empire, consumed by their own self-interest, panic in the face of their reckoning, while the common people fall victim to unthinkable horrors. At the center of this unfolding apocalypse stands Eryndor of Concordia, the young head of his house. Dismissed as naïve for clinging to ancient prophecies, he has spent years pleading with humanity to unite against the darkness. Now, with the return of his family’s ancient enemy, Eryndor must rise to his legacy and rally what remains of humanity before it’s too late. But to fulfill his family’s oath, Eryndor must face impossible odds, forge alliances with those who once betrayed his house, and confront the truth of what it means to sacrifice for the light. As the forces of darkness spread across the land, "The Light Will Never Fade" is a story of shattered hope, enduring legacies, and the power of selflessness in the face of despair. Will Eryndor and those who stand with him rekindle humanity’s flame, or will the darkness extinguish the light forever?
AlteredSol · 2.8K Views

The Forgotten Light

Fragments of Eternity When memories are the key, but each shard brings pain. In a fractured world where ancient magic collides with futuristic technology, memories are more than echoes of the past—they are weapons, currency, and the fabric of reality itself. Society is divided between the Memory Keepers, who wield the power to preserve and manipulate memories, and the Shattered, victims of a mysterious plague that fragments minds and unleashes uncontrollable abilities. Kael Ardyn, a Memory Keeper haunted by his own amnesia, wields a relic blade that can absorb fragments of memories from those he defeats. When he crosses paths with Lyra Veyne, a Shattered with rare and volatile powers, their fates become intertwined. A fragment of Lyra’s memory reveals a haunting connection between them—and a glimpse of the growing Void, an enigmatic force that consumes memories and threatens to erase all existence. Pursued by Zarek Kaelthorne, a tyrannical ruler who weaponizes forbidden memory extraction, and guided by the cryptic warnings of an enigmatic figure known only as the Weaver, Kael and Lyra embark on a perilous journey. Together, they uncover the dark truths of their pasts, the origins of the Void, and their roles in its creation. As the Void spreads, devouring entire regions, Kael and Lyra must piece together their fragmented memories, even as the truth threatens to destroy them. But the price of stopping the Void is steep, and the line between salvation and annihilation blurs with every step. In this tale of power, betrayal, and the haunting weight of remembrance, Fragments of Eternity explores whether the past is worth reclaiming—and what it means to truly remember.
DaoistXmuWTK · 2K Views
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