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Gajeel Dragon Force

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

The Dragon of Dreams

IMPORTANT DISCLAIMER: Everything in this story has a purpose, nothing is random. If something feels 'forced' it's meant to be, ask why and I guarantee you will enjoy the novel more. ------------------- Synopsis: This is the story of a young man who was reincarnated as a dragon with a near-insatiable curiosity. Initially sparked by questioning his own reincarnation, he quickly gets lost in the endless world of magic, using his deep understanding of advanced sciences to learn the laws and properties of a new type of energy known as mana. However, soon enough, the table would flip, and he would begin using that very same energy to expand his knowledge of science, to the point that he would begin questioning his own understanding of the world. Although not his original intention, with the combination of his intelligence, expanding curiosity, and the 'miracles' that occurred to allow for his existence, he quickly found himself climbing the mountain of strength as if it were a small hill before eventually climbing to a point where it seemed as if he himself was the peak itself. Even if.. that was never the case... - There is mild gore, and profanity is 'censored' toward the beginning, but not later in the story. - Tags: Action, Discovery, Adventure, Fantasy, Sci-fi Sub Tags: Reincarnation, Magic, Non-Human Lead, (Extremely) OP Protagonist, Mystery - New Chapter twice a week, on Monday and Friday at 1:30 PM EST! (Unless Stated Otherwise) - Uploads not on Webnovel, Royal Road, Wattpad, or Scribblehub are ILLEGAL - Community Discord Server: https://discord.gg/Dv7G5bQD4v Account must be at least 3 days old. Note: This novel takes place in the same universe as my other novel, TSH (The System's Harvester) on RR (Royal Road) and SH (Scribble Hub)
Commander_843 · 1.6M 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

Villain by Force: Heroes Are My Prey

Linggis Joe, a hybrid class hunter specializing in both support and swordsmanship, had one goal in life: stay under the radar and live comfortably. Despite being a skilled swordsman, he intentionally downplayed his abilities to maintain his role as a support, avoiding attention from superiors who might assign him to high-profile parties filled with Rank S hunters. For Linggis, fame, rank promotions, or extra money were unnecessary. The steady salary of a Rank A hunter was more than enough. Linggis spent most of his days analyzing the lives of Rank S and SS hunters through social media or observing them during raids—not out of admiration, but to ensure he stayed far away from their chaotic world. All he wanted was a quiet, predictable life without the burden of joining elite parties or dealing with the responsibilities that came with them. But his peaceful existence shattered during a raid. A spear, thrown by a renowned hunter, ricocheted off a monster and flew toward him. In his attempt to avoid it, Linggis fell into a deep abyss within the dungeon. When he woke up, he was no longer in his world. His system had been replaced with the Pure System, resetting all his levels to zero. Now, he couldn’t rely on the usual methods of leveling up; instead, he had to improve through conventional means like training and perseverance. To make matters worse, the system had assigned him the role of a villain. If he refused, the system would kill him. Trapped in this new reality, Linggis Joe must confront heroes sent to stop him while trying to navigate a world that despises him. Can Linggis Joe survive in a world that demands his downfall? Or will he succumb to the villainous role forced upon him?
Levi_lly · 961 Views
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