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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 · 158 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

Female Consort (GL)

In Qiu Che’s previous life, she disguised herself as a man to take the imperial examination for her brother. For the so-called great plan of her father and brother, she married the most favored princess of the dynasty, Li Qingwu, at all costs. But after ten years of marriage, she never touched her finger. On the day she became the powerful prime minister, she died at the hands of her biological father. Her brother stepped on her corpse and became famous. And she died quietly in the prime minister’s mansion in the cold spring night. It was her wife who she had never seen once, who collected her corpse for her, set fire to the prime minister’s mansion, and finally committed suicide with a sword in front of her grave. When she opened her eyes again, she returned to the eighteenth year of Zhenfeng. It was the year when she had just passed the imperial examination and was in high spirits. She rode a horse through the streets, and suddenly raised her eyes and saw a man standing by the pavilion with a crowd on his left and right, looking at her quietly from top to bottom. Vermilion mole, red lips, beautiful beyond compare. In her eyes are endless sparks. It was not until this life that Qiu Che finally knew that the bad fate in her previous life, which she thought was obtained by despicable calculation, was actually the fate that Li Qingwu had sought after three bows and nine kowtows in the Golden Palace. She is Li Qingwu, a model of a lady from a noble family, and she is a rebellious person only once in her life. It is also the one that the other party has been seeking for countless days and nights. -------------------------------------------------------- Click to join my Patreon for free and get a sneak peek at upcoming chapters and exclusive content! https://patreon.com/Crimson_Lore?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink
Crimson_Lore · 6.6K Views

Glamorous Journey of the Female Protagonist

"Set up all of these hundred items for tomorrow's auction." The lady ordered as she took a seat on her golden throne. "But Miss Li, why do you want to auction off so many things?" "What kind of stupid question is that? Isn't it obvious? I need more money, so auction them all and help me get more money." The Lady said with a shrug. "But Master, you are already a Billionaire. Why you need more money?" The Little Furball asked in confusion. "When you have an entire army of sups, needy familiars and spirit beasts, thousands of disciples and most importantly FIVE SOULMATES AND A BOND MATE to feed and provide for, you will know the answer." "But...b-but all your mates are rich too! They can easily provide for you and others." The furball tried to get through his master's firm decision. "So? I want to be richer and provide for them. Do you have any problem?" "Of course not master!" ****** She, a 21st-century woman, was the leader of a Supernatural Clan and also one of the most important members of the Supernatural Council. Only at the age of 28, she was one of the most powerful mages in the world. But on a mission against rogue vampires, she died and woke up in the body of an orphan who had a body of trash. She realized that she transmigrated in an ancient world where people cultivated some sort of spiritual energy. In this world power meant everything. So, she decided to get powerful and due to some miracle, she was still able to use her magic. It's a journey of a female mage who shocked everyone with her talents and unseen & unheard powers. But just like every story, this one also had a fun part which came in the name of Five hot as hell male leads...! ********** This story is meant to be a Reverse Harem Transmigration romance with mature content. If you guys don't like such things then you can ignore this one. Happy reading!! ********** The credits for the book cover go to its original owner. I just downloaded it from Pinterest and edited it...!! *** My other novels: #Journey To Become an Insanely Pampered Wife (On-going) #The Vampire Empress: Blood Queen & Her Kings (Completed) #The Veil Of Darkness (Completed) #Broken Angel & Her Overprotective Brothers (Completed) #Farm Cultivation: I got reincarnated as the wife of two ghosts (On-going)
Nightsummer20 · 2.5M Views
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