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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

Reincarnated Hero System

It was just a game; one Evan played way too much, but it was still a game in the end. At least it that’s what it was supposed to be... However, on the day the main quest ended, he discovered it was more than just a game. The world of Aidos was real and the demon threat was even more so. He was sent to be the leader of the new generation of heroes and save the world from the demon invasion by the god who made the game. Unfortunately, nothing was as simple as it may have seemed. As the truth behind the invasion and the previous Seven Heroes was slowly revealed, he began to have second thoughts about his choices. He began questioning if the demons were truly the enemies of Aidos. Even more so, when he discovered a new truth. That he may not actually be who he thought he was. #wsa2022 WSA 2022 Entry [Check out my other stories from my profile: Godslayer’s Legend, Reincarnated Hero System & Beyond the Bloodline] ◇ ◇ ◇ Discord Link: https://discord.gg/ZXyAjGtS4r ◇ ◇ ◇ Support Me: https://ko-fi.com/michae_l ◇ ◇ ◇ I'm new to writing so I hope you all will support me on this journey. I'm hoping for your review on what you think about the book. Constructive criticisms are allowed too. Cover by KingU ◇ ◇ ◇ DISCLAIMER! This novel is a work of fiction and though it draws inspiration from historical places and events, it is by no means meant to be a realistic representation of any current or historical events, places cultures, or people. The story may contain themes and events that may be disturbing to some people and if you are "triggered" by pretty much anything at all, It may not be suitable for you as I will not limit myself in terms of themes, events, or topics while writing.
_michael · 1.7M Views

Beyond the Bloodline

Vampires and Werewolves... Two Powerful Races with Incompatible Bloodlines. Eternal Rivals with one another. And then someone decided to create beings who were mixtures of the two. Well…maybe they shouldn’t have done that. ◇ ◇ ◇ Eternal Life. Widely known to be an unobtainable myth, even for the long-lived elves and the all-powerful dragons. And then came Jamie. A young and promising werewolf from the prestigious Westley Werewolf Clan, finds himself entangled in a series of events that forever altered his existence. Ending up in the hands of a powerful witch, Jamie becomes the subject of a mysterious experiment, infused with the bloodline of vampires to create a Hybrid being of the two races. Among the Hybrids created by the witch, he alone stands as the only Perfect Hybrid. Throughout the ages, he rises to the top as one of the most powerful beings, living through countless eras, meeting and parting with many friends as well as witnessing the turning tides of history. Yet, this existence takes its toll, and Jamie occasionally subjects himself to self-imposed slumbers, allowing time to pass so he can embrace the future with new experiences upon waking. As he awakens from one of these slumbers, Jamie is thrust into a modern magi-technology-filled world that starkly contrasts with the ancient eras he once knew. With countless new experiences waiting for him. But things are never so simple. From the Vampires and Werewolves, who awakened him in their quest to overcome their racial weaknesses, to the other supernatural forces at play, their hidden agendas revolving around Jamie and his actions in the distant past. But most of all, three questions linger: Why was Jamie chosen by the Witch? What were their true intentions? And how would they affect Jamie, for better or worse? #wpc #wpcaugust #wpcaugust23 [Check out my other stories from my profile: Godslayer’s Legend & Reincarnated Hero System] ◇ ◇ ◇ Discord Link: https://discord.gg/ZXyAjGtS4r ◇ ◇ ◇ Support Me: https://ko-fi.com/michae_l ◇ ◇ ◇ DISCLAIMER! This novel is a work of fiction and though it draws inspiration from historical places and events, it is by no means meant to be a realistic representation of any current or historical events, places cultures, or people. The story may contain themes and events that may be disturbing to some people and if you are "triggered" by pretty much anything at all, It may not be suitable for you as I will not limit myself in terms of themes, events, or topics while writing.
_michael · 387.6K Views

Three Kingdoms: Reincarnated as Lü Bu with a system

In the chaotic era of the Three Kingdoms, where warlords vie for supremacy and kingdoms rise and fall, a modern soul awakens in the body of the infamous Lü Bu—the peerless warrior known as the Flying General. Armed with a mysterious system that grants him unparalleled power and strategic insight, the reincarnated Lü Bu is determined to rewrite his story. This time, he will not be the reckless warrior manipulated by others nor the traitor scorned by history. Instead, he will unite the fractured land under his banner, carving a legacy that rivals even the greatest legends of his time. Through cunning strategy, ruthless ambition, and overwhelming strength, Lü Bu conquers villages, crushes rebellions, and builds alliances. Along the way, he grapples with the weight of his new identity, the challenges of loyalty, and the complexities of navigating a world filled with treachery and ambition. But as Lü Bu rises to power, the system reveals that his greatest challenge lies not only in uniting the land but in facing forces that threaten the very fabric of history. Will he succeed in forging a new destiny, or will he fall victim to the same fate that history once dictated? --- Note: This novel is a fanfiction inspired by the myth and historical legends of the Three Kingdoms period in China. It reimagines the life of Lü Bu through the lens of reincarnation and an alternate timeline, blending historical elements with fantasy and action. (Book Cover from: Three Kingdoms: Live as Lu Bu)
Silently_Silent · 12.9K Views
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