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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 · 203 Views

The Nexus Developer: Akashic Records System

Forty-eight years after the Convergence, the world still struggles to adapt to the drastic changes brought by mystical portals that unleashed mana and supernatural creatures. In District 43 (Grande Bangu), Rio de Janeiro, Brazil, young Arcanist Angelina Silva emerges as a beacon of hope amidst the darkness of corruption and conflict. One day, Angelina awakens with memories of her counterpart from a world untouched by the horrors of the Convergence and unlocks access to the Akashic System, a vast network of knowledge from the multiverse. Determined to revive pop culture and restore the quality of films and games now reduced to mediocre productions, Angelina uses her magical abilities to create works that inspire and empower. Facing the constant threat of being snatched by the militia led by the fearsome Big Z, Angelina finds strength and support in her allies Rafael "Rafa" Mendes, a dual-class Rogue-Ranger Manauser, and Miguel “Mike” Antunes Rodrigues, a protective arcane guardian. Together, they embark on an epic journey to develop a revolutionary game that awakens latent Manausers and inspires resistance against oppressive forces. But the challenges are many. In a scenario where magic, technology, and the power of imagination intertwine and complement each other, Angelina's struggle to turn her creative vision into reality is a constant battle against corruption, oppression, and the adversities of the post-Convergence world. "The Nexus Developer: Akashic Records System" is a tale of resistance, creativity, and friendship, where the power of imagination, magic, and technology unite in understanding humanity's resilience in a world in ruins. Follow Angelina Silva on her mission to revitalize pop culture and uncover the hidden secrets of a universe full of mysteries and endless possibilities. Get ready for an engaging narrative that explores the strength of the human spirit, the importance of art, and the magic that can be found in every act of creation. --- Patreon: Anjels Link: patreon.com/Anjels
Angellunnares · 4.6K Views

The Cannon Fodder and Her Mr. Right

Mo Yangyang, the fake daughter was kicked out of the family when the real daughter of the family returned. The real daughter demanded a good reputation, thus Mo Yangyang had to set her off by being the bad girl. She couldn't stand it any longer when she realized she was terminally ill. Even cannon fodder deserved to die with dignity. To leave no regrets behind, Mo Yangyang made a move on the man whom she was secretly in love for ten years, but she ended up being entangled with the man's uncle, the fifth son of the Xie Family whom every woman in Xiacheng was willing to squeeze their heads through a crowd just to meet in person, the man with the name Xie Xize. Mo Yangyang, "Don't worry, I'm almost dead anyway. Three months later... Mo Yangyang, "Why am I still alive? And why is there another life in my stomach too? Wouldn't Fifth Elder Xie murder me once he found out about it?" So she ran... Five years later, the little kid dragged his trembling mother to Xie Xize and said, "Take good care of your woman, don't make me have to worry about her always." Fifth Elder Xie, "How are you going to pay me back for kidnapping my son for so many years?" Mo Yangyang shuddered, "I can give you another child...do you want it?" The little kid, "I have a chance to start over again. I must take precautions earlier. With my father around, I won't have to worry that mom would be killed like cannon fodder again. It's time to teach those scum a lesson!"
Early October · 1.3M Views
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