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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 · 1.5K Views

To Sleep In The Sea Of Time

This is a story of a guy who loses everything, and then gets it back. Same old new world story, just a different kind of story teller. *** They took away our hunter tags. They had us grow our hair. They gave us a new brand, when we were over there. They staged us out of Dragur, East of the Olim Horn. I guess they call us Slaves, but no one calls us much anymore. There is no fun in killing. I don't want to do it anymore. Karn brought Sorrow. Pookie brought Fear. Milk brought the fly boys. They did work in Undia. I worked mostly clandestine. Some Legends I should not say. We played with better wands. I could use the extra pay. Did Mara give the order? Did venom pay the way? They said we were slaying demons, but it was kind of hard to tell. There is no fun in killing. I don't want to do it anymore. This was before HALO, and Codex was king. Hej atop the rider, he never felt a thing. When our rider caught a spell, and both the mages killed. It pitched us over sideways on some cold Sylph hill. My back felt like it was broken, my legs I could not feel. I kept on slaying demons, but it was kind of hard to tell. There is no fun in killing. I don't want to do it anymore. I never did heal up right from injuries sustained Officially in Torin, unofficially we train. I remember all their faces. They dream about me still. I guess I'm slaying demons, but it's kind of hard to tell. There no fun in killing. I don't want to do it anymore. I speak the cold logistic, that old boys speak so well. Veni, Vedi, Vici. I'll see you in Hel. Maybe it's bravado, or an unspeakable guilt. That village, they were demons, but it was kind of hard to tell. There is no fun in killing. I don't wanna to do it anymore. I've done plenty. What is one more? -Corb Lund *** Come guess me this riddle. What beats shire leaves and fiddle? What is hotter than pleasures touch, and whiter than cream? What best wets his whistle? What is clearer than crystal? What is sweeter than honey and stronger than steam? What will make the lame walk? What will make the dumb talk? What is the elixir of life and philosopher's stone? And what helped Pookie-Baba dig up a tunnel, that runs from Shalamanda to West-Torin? When you are digging a crater, It is the best thing in nature, for sinking your sorrows and raising your joys. Sometimes I wonder, if lightning and thunder, is made out of the plunder, of the reddest hiski and oils. *** If you can keep your head when all about you, are losing theirs and blaming it on you. If you can trust yourself when all men doubt you, but make allowance for their doubting too. If you can wait and not be tired by waiting, or being lied about, don’t deal in lies, or being hated, don’t give way to hating, And yet don’t look too good, nor talk too wise. If you can dream, and not make dreams your master. If you can think, and not make thoughts your aim. If you can meet with Triumph and Disaster, and treat those two impostors just the same. If you can bear to hear the truth you’ve spoken, twisted by knaves to make a trap for fools, or watch the things you gave your life to, broken, and stoop and build them up with worn-out tools. If you can make one heap of all your winnings, and risk it on one turn of pitch-and-toss and lose, and start again at your beginnings, and never breathe a word about your loss. If you can force your heart and nerve and sinew, to serve your turn long after they are gone, and so hold on when there is nothing in you; Except the Will which says to them ‘Hold on!’ If you can talk with crowds and keep your virtue, nor walk with Kings, nor lose the common touch. If neither foes nor loving friends can hurt you. If all men count with you, but none too much. If you can fill the unforgiving minute, with sixty seconds worth of distance, run. Yours is the World and everything that’s in it, and which is more you’ll be a Man, my son. - Rudyard Kipling
man_of_culture3030 · 699.7K 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 · 67.8K Views

She's My Sleeping Pill

15 years ago, his elder brother was killed right in front of him in the middle of the night – killed by their most trusted driver. Since then, Stefan had a hard time sleeping and often got nightmares. He learned not to trust anyone. Cayenne worked almost all day and all night. She only got three hours of sleep every day. She was the breadwinner of their family since her mother was diagnosed with tuberculosis. She thought she would have a great time working as a receptionist in a hotel. Until… “I’ll pay you an additional $3000 a month. Sleep with me.” Stefan placed a signed check on the table in front of her. Her head was spinning at the large sum of money. She can finally buy her mother’s medication and send her brothers to school without worry. But to sleep with him? “I’m sorry if I come off rude but, I can’t sleep with you sir.” She tried to refuse politely, afraid that she will lose her job if he felt displease towards her. Stefan took off his coat and placed on the backrest of his chair. “Think about my offer carefully. It wasn’t so bad sleeping with you after all.” It was a mistake she made on her part when she fell asleep right beside him on his bed, drunk and dizzy. Will he make the mistake of trusting someone again? Will he entrust his life to her by sleeping soundly beside her? How will they face each other when they started to unveil the mystery of their identities? ***cover isn’t mine***edited by a friend***I don’t earn anything from this picture*** Original cover was taken from Mr Love: Queen's Choice Related videos and pictures can be seen in Koi to Producer: EVOL×LOVE
_frieyaVida · 2.7M Views
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