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Citrus Principle

Time and Massless Particles

In Time and Massless Particles: The Nature of Time in Physics, readers embark on a transformative journey through the most profound questions at the heart of modern physics. This comprehensive work seamlessly weaves together the fundamental principles of time—from its classical roots and relativistic evolution to its quantum and cosmological dimensions—with an in-depth exploration of massless particles, the elusive carriers of nature’s fundamental forces. Beginning with an insightful analysis of the nature of time itself and the groundbreaking discoveries that redefined its role in physics, the book guides you through the captivating world of massless particles and their central role in shaping our understanding of light and energy. Delve into the intricacies of special relativity as it bridges time and light, and discover how photons serve as the archetype for massless particles in both theory and technology. Moving beyond the familiar, the narrative unfolds into the quantum realm, where the fabric of time is examined through the lens of quantum mechanics and field theory. Explore the vast cosmos as modern cosmology reveals the interplay between time, light, and the Universe, and then venture into advanced theoretical perspectives that challenge established paradigms—from symmetry principles and CPT invariance to the bold quest for quantum gravity. Blurring the lines between science and philosophy, the book concludes with reflective essays on the philosophical implications of time and existence, and it casts a visionary look at future directions and open questions that promise to reshape our understanding of reality. An analysis of influential references and their impact in theoretical physics further anchors the work in a rich academic tradition, making it an essential resource for researchers and students alike. Time and Massless Particles is a bold, interdisciplinary exploration that not only charts the evolution of our understanding of time but also illuminates the intricate connections between theory, experiment, and the very nature of existence. Whether you are a seasoned physicist or an inquisitive scholar, this book offers a compelling glimpse into the dynamic frontier of modern science.
Andrew_Bardsley · 1.7K Views

The Mech Touch

After obtaining the Mech Designer System, Ves aims to create the greatest mechs in the galaxy! In the far future, the galactic human civilization has entered the Age of Mechs. The countless lesser powers of humanity have come to adopt mechs as their main weapons of war. Only a small number of humans have the right genetic aptitude to pilot these destructive war machines the size of buildings. Born to a military family in the edge of the galaxy, Ves Larkinson is one of the many people who lacks the talent to earn glory in battle. Instead, he became a mech designer. Helped by his missing father, Ves has obtained the mysterious Mech Designer System that can help him rise in the galaxy and beyond. His mechs based on the principles of life quickly allows him to rise to prominence. Powerful and highly compatible with mech pilots, his products have the potential to take the market by storm. However, success does not come easily, and countless challenges bar his ability to sell his mechs to a market eager for innovation! With the sins of the human race in the galactic arena slowly catching up, Ves must navigate the perils of the ultra-competitive mech market and maintain control over his growing organization of misfits. This is the golden age of mechs. This is the golden age of humanity. The question is, will it last? "Any challenge can be overcome as long as I design the right mech!" --Join The Mech Touch's unofficial Discord server! https://discord.gg/APB5KCU --Follow my Instagram and Twitter! https://www.instagram.com/mlduong https://twitter.com/MLDuong --Cover Art by Derek-Paul Carll (carlldpn) --The Mech Touch is an original webnovel written by ML "Exlor" Duong. The Mech Touch is mainly published on Webnovel.com and a select few platforms affiliated with the parent company of this website.
Exlor · 53.4M Views

The Primordial Sovereign of Chaos

In a world where gods clash, devils scheme, and demons lurk in the shadows, power is the only law that matters. The heavens tremble beneath the might of ancient sects, and the vast cosmos is littered with immortal artifacts, forbidden realms, and entities beyond mortal comprehension. Jiang Chen was born in the heart of the savage wilderness, a place where mythical creatures reign and survival is a privilege, not a right. He had no sect, no family, and no divine inheritance—only his instincts and his spear. But fate had other plans. When he unearths the Primordial Chaos Seed, his path is forever altered. Chaos—the force before creation itself—becomes his to wield, a power feared even by the celestial beings who claim dominion over existence. With each battle, Jiang Chen defies the very limits of cultivation, not through inherited bloodlines, but by harnessing the raw, untamed forces that govern the cosmos—the Laws of Heaven and Earth, the Principles of Creation and Destruction, and the Boundless Paths of Ascension. He carves his way through emperors, ancient sects, and beings who exist beyond the mortal plane. But his journey is not without peril. Beyond the bloodstained battlefields and celestial wars, Jiang Chen will face trials of the heart—love that burns brighter than the stars, betrayal colder than the abyss, hatred that fuels his rise, and friendships that defy destiny itself. He will lose, he will break, and he will rise again, reforged by the trials that seek to shatter him. From the depths of abyssal voids to floating islands that defy the heavens, from demonic overlords to celestial tyrants, Jiang Chen walks a path where no man was meant to tread. And in the shadows, the great factions—immortal clans, god-kings, and forgotten deities—all watch with unease, for they know: A storm is rising. Chaos is awakening. And Jiang Chen will shake the heavens
Oxianxia · 3.5K Views

Aegis Europa: Chronicles of the Celestial Accord

In the year 2025, a cataclysmic celestial event fractures the boundaries between worlds. The entire European Union—its land, people, infrastructure, and institutions—is mysteriously transported to *Eldryth*, a realm of floating continents, ancient magic, and warring feudal kingdoms. Overnight, 27 member states and 450 million citizens find themselves stranded in a world where dragons rule the skies, enchanted forests harbor sentient beasts, and political power is measured in mana crystals rather than euros. The EU’s founding principles of unity, democracy, and human rights clash violently with Eldryth’s arcane hierarchies and blood-oath loyalties. Chancellor *Lira Voss*, a pragmatic German leader, and *High Magister Kaelan Thorne*, a cunning elven sorcerer-regent, become unlikely adversaries—and reluctant allies—as they navigate a precarious peace. While EU engineers scramble to adapt renewable energy grids to run on elemental ley lines, Polish cavalrymen trade tactics with griffin riders, and Italian chefs reinvent pasta using *voidshroom* flour, darker forces stir. The *Sunderborn*, a cult worshipping the eldritch entity that caused the transmigration, seeks to devour both worlds. *Aegis Europa* blends geopolitical intrigue with high fantasy, exploring questions of cultural assimilation, technological vs. magical progress, and whether a bureaucratic superpower can survive sword-and-sorcery diplomacy. As the EU’s Parliament debates trade pacts with merfolk city-states and NATO mages duel necromancer warlords, one truth becomes clear: the only way home is to forge a new *Celestial Accord*… or watch both realms collapse into chaos.
ICBM · 1.3K Views

Mated To My Boyfriend’s Dad

[TRIGGER WARNING: DARK THEMES, MATURE CONTENT.] In a world where humans, werewolves, vampires, fey, and other supernatural beings coexist, Isleen; an Omega who has been subject to multiple bullying and ridicule in the pack because of her parent's past, faces a challenging dilemma. She's dating Kylo but unexpectedly discovers that his strict father, Rhett, who is the pack’s Gamma, is her destined mate. Conflict arises as a war breaks out among the supernatural creatures and the death toll rises. Isleen struggles with her loyalty to her boyfriend, and the powerful pull she feels towards his father, due to the mate bond. —— Imagine getting married at Eighteen to a woman old enough to be your mother– all because of your loyalty to the Moon Goddess? Welcome to Rhett’s reality. Rhett DarkWater is a man of principles but not without his share of secrets and hidden missions. After finding out who his second fated mate is, he battles with his devotion to the Moon Goddess, his loyalty to his son, and his duty as the Gamma who is supposed to protect the pack—not have his son’s girlfriend pinned beneath him in a corner with her clothes off. Unfortunately for Rhett and Isleen, the mate bond knows no morality – it attacks, and when it does, two hearts must become one. —— I and Gamma Rhett just kissed again. He knelt before me, his hand reaching out to touch me, but I flinched away. "Isleen," he muttered. "This is wrong," I cried. "We can't do this. It's forbidden. W-what about Kylo?” He stared at me, his eyes burning with a passion that frightened me to the core. Yet, it left tingling sensational effects all over my body. "Don't fight it, Isleen. We are mates. This is what we're meant for." ~~ Follow me on all socials; @HeeSha_TA Read my other works: ”My Masked CEO is a Fairy Prince!” “Forbidden Heaven’s Descendants (The Chosen One)” “Medusa and a Magical School” “Mysterious People Next Door” I hope to get to know you in the comments. Happy reading. Cheers!
HeeSha_TA · 620K Views

The blind Judge

Judy Myers is a rising star in her prestigious law firm, known for her sharp mind and unwavering commitment to justice. At only 29, she’s on the cusp of achieving her lifelong dream: becoming a judge. But her ambitions are thrown into chaos when she’s assigned the most controversial case of her career, a case her firm wants her to lose. Her client, Ethan Carter, is accused of murdering his closest friend in cold blood. The evidence against him seems overwhelming, and his connection to a powerful political organization controlling legislation makes him an easy scapegoat. But as Judy delves deeper into the case, she begins to suspect that Ethan has been framed and that the truth is far more sinister than she could have imagined. Uncovering a web of corruption, blackmail, and murder that reaches the highest levels of power, Judy realizes the case isn’t just about Ethan’s innocence. It’s about exposing an organization that has manipulated the law for decades. Torn between her duty to the truth and the danger of unraveling secrets that could destroy her career and her life, Judy must decide how far she’s willing to go to uphold justice. As the trial unfolds, Judy is tested like never before. Betrayed by her firm, targeted by powerful enemies, and haunted by her growing feelings for her client, she must confront her blind spots in a legal system rigged against the very principles she holds dear. Will Judy risk everything to bring the truth to light, or will the cost of justice prove too high? The Blind Judge is a gripping legal thriller about power, corruption, and the ultimate price of pursuing justice.
cudopi_ezer · 1.1K Views

Stellarum

A phantasm of a metaphor made real, an allegory based upon principles of the dynamics of ontology itself. It leaves behind a barely-real whisper to mark its path. There’s about a million different creation mythos that we can go into, so I'll keep this one simple. Once before a time, there was a long unending quiet. I will not get into the specifics—just know that this quiet was inevitable. It prefigured all and it is what all will come back to in due time. And please, always remember: this is an allegory. *Ahem* anyway: eventually, a whisper, a euphony came into existence. Whether the whisper was the long quiet itself or something else that came out of it is irrelevant currently. Either way, that whisper moved across that unending quiet and ‘pointed’ to a section. It said: "This section will be an infinite world that will extend into an infinite number of dimensions. This will be the physical world" “These infinite dimensions will harbor any and all; this is where the 'simple' will live." Then, it looked to the ‘right’ of the physical world and said: "This will be an ascended plane of existence, mirroring the physical world; this will be a world build upon conscience, objective truths/axioms, and beings beyond simple comprehension" This world resembles a tower. A tower with a beyond infinite amount of floors, each floor sharing its own axioms, and each subsequent floor unequivocally surpassing the previous. These floors will be like fluid, not set in stone. It is known that the whisper said SOMETHING to this beyond infinite tower, but the specifics is not recorded here. Finally, the whisper created a network of strings. These strings exist in ‘the weave’, they connect all living minds and concepts together. T=1 Then the whisper went quiet. For the quiet is all there can and will be. (What to expect?) I can be nothing other than what I am. (Updates:) Honestly, it’s hard to say. I’m pretty busy right now since I’m in my senior year of high school. I’m also a perfectionist, so each chapter I write goes through extensive rewrites and edits (some more than others). All I can say is that a new chapter will come out every few weeks or so. Don’t expect this story to be 1,500 chapters, though. I’m not looking to write it over the course of 9 years at the pace I work.
Girsu · 1.3K Views

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 · 1K Views

Chronicles of Draconian Empire:The God of balance

In the world of Drasia, where diverse lands and cultures intertwine, the focus of attention shifted dramatically to the Olympus civil war, a conflict that threatened to reshape the balance of power across the realm. Amidst this turmoil stood the city-state of Draconia, a formidable and influential entity known for both its prowess in trade and its swift, decisive actions against any who dared to oppose it. At the heart of this turbulent landscape emerged the enigmatic figure of Alex, known as the God of Balance. With his keen strategic mind and unparalleled leadership, Alex led his armies not only in battle but also in the advancement of civilization itself. He provided them with the tools of war and the means to propel their societies forward. Yet, beneath his outward facade of strength and determination, Alex harbored a deeper understanding of the delicate equilibrium that governed the world. As the Olympus civil war raged on, Alex saw the need for intervention to restore balance. He marshaled his forces and intervened, aiming to bring about a swift conclusion to the conflict. However, as peace seemed within grasp, Alex witnessed a subtle shift, a realization that perhaps war itself was necessary to maintain the fragile equilibrium of the world. Join Alex on his journey as he navigates the intricate web of alliances and rivalries, leading the unofficially most potent nation in the world – the Empire of Draconia. Built upon the foundations of blood, sweat, and tears, Draconia embodies the vision and determination of its founder, Alex Luker Draco. As he grapples with the complexities of morality and power, Alex endeavors to ensure that his actions reflect the principles he espouses, shaping the destiny of nations and leaving an indelible mark on the tapestry of history. ___________________________________________________________________________________________ This is my first ever written novel came from my imagination that started in highschool although im not a skilled novel writer this is my first and many other stories i wish to release Release dates: only on fridays other days depending on the reason or context also i have to say sorry for the few dozen chapters since my editors were d*cks that they didnt properly format it.
Mr_Chess · 82.9K Views

Love & Principles: A Game of Push and Pull

When former lovers are brought together after years, their lives are now completely different and they live in an absolutely contrasting world- One is now a ruthless Mafia Boss while the other is a Special Forces Captain. * * * Alessio DeFazio is the ruthless Don of the DeFazio crime family. Once an average boy with many dreams; he is now a ruthless Mafia Boss who rules with an iron fist. Known for his ruthless yet intelligent methods, he is feared by the other crime families, and under his rule, the DeFazio crime family eventually rises to the top, making him the untouchable Boss of Bosses of the Mafia world. The Mafia King is bound to have many enemies and of course, those intelligence and special forces from many countries who are trying to get wind of him, and... she is among those who are eager to hunt him down. Captain Alora McLean of the Elentrus Army is someone who is more than devoted and sincere in her job. A carefree and kind soul; she always transforms into a tough perfectionist once she puts on her uniform. With her intelligence and mind-blowing merits under her belt, she is a model soldier whom everyone admired and look up to. However... Her life as a perfect Special Forces Captain starts to see a crack when an old flame reappears and shakes up her life. * A righteous soldier and someone who casually commit crimes. Nevertheless, they both find themselves struggling to stand firm in their principles when they shake up each other's lives after years, causing them to practically play a game of push and pull. In an intense battle between love and principles, what will prevail in the end? ---------- Note: All places, characters, incidents, and organizations in this novel are fictional. Disclaimer: I do not own the cover photo. It is uploaded from another source and all rights credited to the rightful owner...
Pearys · 22.1K Views

I'm Building Schools at the End of the World

Hania Fill traveled inside the famous upgrading male protagonist doomsday novel, the one that he hates. He left many bad reviews in the comment section, becoming unimportant passersby with a nagging ball system, the Academic Life Achiever Infrastructure. It's supposed to be a good thing, but who would want to go to school at the end of the world? After three years of apocalypse, the slow-walking zombies turned into fast-eating monsters, and many monsters became stronger than before. Humanity is at a loss. Many men lost their wits, honor, pride, and principles in life. When some of them were about to become savages and beasts in this world, the news of an extraordinary school swept the world. What did you say about passing the entrance exams? After passing the school entrance exam, you can live in a dormitory with discounts or rent an apartment! Are you worried about your age, whether you are too young or too old? Anyone could enroll in many major and minor subjects. Are you afraid there's no food, water, or school supplies? On the campus, there's a cafeteria, food district, convenience store, and mall to hang out with. Hania Fill's advocacy at the end of the world is that, no matter what era you're in, knowledge is the best weapon. Go study hard and reach the pinnacle of life! An extra-little girlfriend appears in this original body, and the other is quite a fragrant little fool who doesn't want to study at all. This is not good, so he rolls up his sleeves and is ready to teach someone else. First, let's go inside the bedroom to coax the little girl and get out to read books! Even though the world is ending, the school class for today is not suspended!
LittleWifeofVAi · 3.4K Views

The High-Stakes GameMaster's: The Challenge

Genre: Psychological Thriller, Strategy, Mystery Kaito Sato and his friends, Yuki Nakamura, Hiroshi Tanaka, Aiko Tanaka, Takeshi Suzuki, and Ryuji Mori, find themselves ensnared in a high-stakes game orchestrated by a mysterious entity known as Lady Fortune. Trapped in the Gamblers' Nexus, they must navigate a series of psychological and physical trials, using their wits, skills, and trust in each other to survive and claim the ultimate prize: a powerful orb capable of revealing hidden patterns and guiding decisions. Upon escaping the Nexus, the group resolves to use their newfound power and knowledge to help others, transforming a struggling town into a thriving community. However, their success attracts the attention of Kazuo Inoue, a ruthless operative of a shadowy organization that seeks to control the orb for its own gain. Kazuo's arrival forces Kaito and his companions to defend the town and their principles against overwhelming odds. Despite their efforts to fortify the town and gather intelligence, they face a formidable adversary with vast resources and a relentless drive to obtain the orb. In a climactic battle, Kaito and his friends, drawing upon their unity and the power of the orb, manage to repel Kazuo's forces. Though victorious, they realize that their fight is far from over. They must remain vigilant, using their skills and the strength of their bond to protect the orb and the values they hold dear. "The Nexus of Shadows" is a tale of strategy, trust, and resilience, exploring the complexities of power and the importance of unity in the face of adversity.
Bazer · 15.4K Views
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