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Progress and Visions in Quantum Theory in View of Gravity
This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Quantum Mathematical Physics
Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Into the Maelstrom
How can one man succeed where an entire army has failed? Amarantis, a powerful Fire Mage, searches the battlefield, seeking his next victim. Giselle refuses to give in to defeat. Instead, she demands the surrender of her enemy, even in the face of imminent death. Cyric is not looking for a fight, wishing only to help those injured. All that changes when he sees the life-and-death struggle unfolding before him. Now, with nothing left in their arsenal, magic once again threatens them with its fiery fury. In a flash of inspiration, Cyric attempts to save Giselle, but is it enough to turn the tide of battle in their favour? Has Amarantis met his match when he crosses the path of Brother Cyric? Find out in Paul J Bennett's Into the Maelstrom, A Chronicles of Cyric prequel story.
A Midwinter Murder
Where there's murder, there's a mystery to be solved! When Brother Cyric, Temple Knight of Saint Mathew, finds himself travelling to the countryside to bless a Duke's Midwinter Feast, the arrival of a mysterious guest piques his interest. But he's barely in the front door when he overhears a conversation that reveals his host may not be the man everyone thinks he is. After a dinner filled with more animosity than good food, Cyric's slumber is interrupted by the news that the duke has mysteriously died. Now, with a dead noble and a room full of suspects, it falls to Brother Cyric to unravel this medieval fantasy whodunit! Follow the ever curious and always observant Brother Cyric as he endeavours to separate mere hatred from murderous intent in A Midwinter Murder, the second story in The Chronicles of Cyric series. Curious how Father Roland choose Cyric to become an investigator for the Brothers of Saint Mathew? Pick up Into the Maelstrom and read his prequel story today!
The World Behind the World
"From Dr. Erik Hoel, The World Behind the World delves into the quest for a theory of consciousness that will trigger a paradigm shift in neuroscience and beyond"--
The Continuum Limit of Causal Fermion Systems
This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle. In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space. The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
Hofkes-Kleiner
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