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Sokovian Armed Forces

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

Mine Yes! : Forced to be yours Mr.Devil

"Forced to Be Yours, Mr. Devil" In the cutthroat world of business, Rudra Singhaniya, a powerful and enigmatic CEO, is known for his cold demeanor and ruthless decisions. But behind the successful facade lies a man burdened by past wounds and a life dictated by duty. Unbeknownst to the world, Rudra enters into a secret marriage with Anaya Malhotra, a young and innocent woman caught in the web of family expectations and societal pressure. Anaya, just twenty years old, finds herself thrust into a life she never imagined. Her marriage to Rudra is shrouded in mystery, known only to a select few, and kept hidden from the prying eyes of the public. While Rudra maintains a cold distance, Anaya struggles to navigate her new reality, torn between the fear of her husband’s icy exterior and the growing confusion of her feelings. As the media frenzy erupts over Rudra’s supposed single status and the shocking revelation of his broken engagement with Nisha Ahuja, the Singhaniya family must navigate the delicate balance of protecting their reputation while managing the fallout. The situation becomes even more complex as it is revealed that Nisha herself is secretly married to another man, Raj Chauhan, adding another layer of scandal to the already chaotic narrative. Within the walls of the Singhaniya estate, family dynamics shift as secrets are unearthed and alliances are tested. Komal Singhaniya, the matriarch, strives to maintain order, insisting that Anaya embrace her new role and move into Rudra’s room—a symbolic step towards accepting her marriage. However, not everyone is on board with this union. Aarav, Rudra’s younger brother, openly rejects the marriage, while Mr. Dev Singhaniya, the family patriarch, and Rudra’s grandmother stand firmly in support of the decision, believing in the strength of family unity. As the couple begins their life together, Anaya and Rudra are forced to confront the reality of their marriage. Sharing a room but not a bed, their interactions are marked by a tense coldness and unspoken emotions. Yet, beneath Rudra’s frosty exterior, there are glimpses of vulnerability and a hidden attraction towards Anaya that he refuses to acknowledge. Anaya, on the other hand, is confused and intimidated by Rudra’s aloofness, yet she finds herself drawn to him in ways she cannot explain. Amidst the turmoil, Anaya must find her footing in a world of power plays and hidden agendas. Will Rudra ever open up to her, or will his dark past keep him locked in a world of solitude? And can Anaya break through the barriers that surround her husband’s heart, or will their marriage remain a hollow contract bound by duty and secrecy? "Forced to Be Yours, Mr. Devil" is a gripping tale of love, power, and the complexities of human relationships. Set against the backdrop of high society and corporate intrigue, it explores the journey of two souls bound by circumstances, yet yearning for something more—a love that can heal old wounds and bring light to even the darkest of hearts.
PenolaS · 105.9K Views

Depraved Noble: Forced To Live The Debaucherous Life Of An Evil Noble!

"Ah, Young Master, Cassius?...I'm afraid you'll be dissapointed to hear that he's not available at the moment as he's 'attending' to his adopted mother in her room." Cassius's lovely maid, Isabelle said in a fluster while she heard lewd sounds escape from her Mistress's room. "No, I'm sorry to say that you can't meet Young Master today, since he's 'helping out' his sister-in-law with some 'favours' in her garden." The innocent Isabelle excused herself as she witnessed her lady's flower being picked, instead of the rest of the flowers in the garden. "I hate to say this sir but Young Master, Cassius is currently guiding Miss Knight in the 'ways of the sword', so you can probably only meet him tomorrow." Isabelle once again blocked the guests from entering, knowing that the sword her Young Master was handling could penetrate a body, but could never wound one. "I apologise once again as Young Master is at the Capital right now teaching a class to the female students in the Academy." Isabelle said with her cheeks flushed, already knowing that her master was taking a very 'practical' lesson about human reproduction with the girls in his class. "Oh my! The King wants to meet the Young Master?...Well I guess he'll have to wait since Young Master, Cassius has gone clothes shopping with the Queen." Isabelle lied to the King himself, knowing that her Young Master wasn't shopping for clothes and was actually removing the royal clothes off the Mother of the Country. Excuses...Excuses...The loyal maid, Isabelle had no choice but to make excuses for her Young Master, who was the most talked about and hated noble on the Continent because of his depraved escapades with all sorts of woman ranging from his own Family to Royalty itself and his Tyranical rule over his estate. And to think that not too long ago he was considered a wastrel noble, who was going to drink himself to death one day. ...When did it all begin she wondered as she excitedly walked into his room to get the reward she deserved for being such a loyal made, while someone else made excuses for her this time. •°•°•°•°•°•°•°•°•°•°•°•°• [No NTR - No Yuri - No sharing - No system that assists the protagonist - No mind control - No drugs or potions that influence the girls - No unnecessary Drama - Incest - Harem - Hardcore Netori - Slice of Life Romance - Demigirls - Elves - Vampires - Beast Girls - Slaves - Royalty - Finally a very competent protagonist]
AGodAmongMen · 135.8K 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

Extra's Rise: I Introduced Arms In A World Where Magic Is Useless!

After dying as an orphan in a devastating world war, Keith finds himself unexpectedly transmigrated into his favorite novel, Fallen Mages. But instead of a fresh start, he’s thrown right into the chaos of the great war between the Mages and the Negators—a brutal conflict destined to end in humanity’s destruction. Armed with the grim knowledge of their impending doom, Keith braces for the worst. Except fate had other plans. Now living as Elon, the banished prince and forgotten son of the second queen of a struggling kingdom, Keith soon realizes that his presence has shifted the course of the story. And then, it happens— [This Extra has been chosen after a random selection...] [Congratulations, you have obtained the Weapon Summoning System.] "Weapon...? Summoning...? System...?" "You mean weapons like guns and grenades? Like the kind that goes BOOM?!" "HELL YEAH!" With this newfound power to summon modern weapons, Elon discovers that these arms are the only tools capable of striking fear into the Negators and giving his kingdom a fighting chance. From simple guns to devastating missiles, Elon’s arsenal grows stronger with each battle. Determined to rewrite the fate of this war-torn world, Elon sets out to transform his once-weak kingdom into an unstoppable force. Along the way, he questions everything: What’s wrong with conquering other lands if their rulers were never worthy in the first place? What’s wrong with using power to unite the broken? "An AK-47 can't kill the Third Order Commander? Fine...! Launch the Bazooka!" "The Great Archdemon of Death survived the grenades? Summon the Rocket Team and fire the missile!" "A Twelve-Winged Demonic Dragon shrugged off the RPG-7? Let's introduce it to a volley of Javelin Missiles!" Conquering the world won’t be easy, but with his system, unrelenting ambition, and growing army of allies, Elon is ready to take on every foe—and claim his destiny. Join Elon in his explosive journey as he builds the strongest, greatest, and most fearsome kingdom this world has ever seen.
Sixtee · 3.2K Views

Entangled in the Ceo's Arms

Miley's life fell apart on the night of her 19th Birthday. The celebration was tainted by the business of betrayal. At the party, Miley's drink was spiked, and when she felt ill, she staggered out of the room, only to stumble upon a conspiracy between her boyfriend and her sister. She had always known that her sister didn't love her. but what she hadn't expected was that her boyfriend, whom she had always trusted, was also in cahoots with her. Realization stung sharper than the cold air outside as she discovered their cruel intentions to humiliate her. Overwhelmed and betrayed, she found refuge in an unfamiliar room. But fate, it seemed, had a cocktail of sorrows lined up for her. In the room she sought refuge in was Logan Pierce. This man, a dominant and arrogant person, and her boyfriend's uncle were known to be a living nightmare for those who would cross his path. Under the influence of drugs, they slipped into a night, and he took her for the first time in ways she wished she could forget. Waking up to a world where accusations were hurled at her from all corners, her family turned their backs on her. Placating Logan seemed to have ranked higher than standing up for Miley, their own blood. Disowned and discarded, Miley found herself abandoned on the relentless, heartless streets. Years later, she had blossomed into the U.S. manager of Hales company. During a business meeting, she stumbled upon Logan once again. But the passing years had erased Miley's face from Logan's memory, arousing within him a curiosity and fascination for this elusive lady director. unable to recall the tragic past, Logan felt unwarranted anger towards Miley as he continuously evaded her- thus beginning their forbidden dance of desire yet again.
Kathy23 · 2.1K Views

In the arms of the Don: a simple girls' love

[#Loyalty] [# Captivity] [#Dark Romance] [#Betrayal] [ # Friendship] [# Rivalry] In the arms of the Don: a simple girls'love She felt his mild heart beat against her chest, and his warm breath caressing the side of her face. " I won't persuade you to speak further, or beat you for it. I'll let you speak at your own pace, and at the time you're comfortable to share it with me Amethyst, I won't hurt you----". His soothing, reassuring words echoed in her mind over and over again. The gentle wind, blew across the roof top, across them, making his reassuring words sink into her mind. She realized this wasn't a dream, or imagination, it was real.... " Is Amethyst up yet?"........ " Boss, no time for that...."..... " Don't tell me what to do!............. I get to ask for who I wanna ask....." He growled and got up fuming..... With a reputation for brutality and a charm that was impossible to resist, Don Diablo was the most feared and respected Mafia boss in the city. His chiseled features and piercing eyes, seemed chipped from granite, radiating an aura of unyielding power yet rumors of his hidden vulnerabilities and deep sense of loyalty had begun to circulate, leaving many to wonder what truly lay beneath his imposing exterior. When a Mafia leader falls for his captivating mistress, their whirlwind romance sparks a deadly game of loyalty, power and desire. Dive into the shadows with Don Diablo were loyalty and desire collide.
GlowRihAh · 1.1K Views
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