Quantum Mechanics In The Geometry Of Space Time


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Quantum Mechanics in the Geometry of Space-Time


Quantum Mechanics in the Geometry of Space-Time

Author: Roger Boudet

language: en

Publisher: Springer Science & Business Media

Release Date: 2011-06-13


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This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number i” in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered. The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.

Quantum Mechanics in Curved Space-Time


Quantum Mechanics in Curved Space-Time

Author: Jurgen Audretsch

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-06


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Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.

Untangling Space-Time Conundrums: A Journey Through Twisted Geometries


Untangling Space-Time Conundrums: A Journey Through Twisted Geometries

Author: Pasquale De Marco

language: en

Publisher: Pasquale De Marco

Release Date: 2025-03-15


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Journey into the enigmatic realm of spacetime with "Untangling Space-Time Conundrums: A Journey Through Twisted Geometries," a captivating exploration of twistorial geometry, where mathematics and physics intertwine to unveil the hidden wonders of the cosmos. Within these pages, embark on an intellectual odyssey that delves into the profound concepts of spinors, twistors, and conformal geometry, revealing their significance in unraveling the mysteries of space, time, and gravity. Discover how twistors provide a unique lens through which to explore the intricate tapestry of spacetime, offering insights into the nature of black holes, quantum gravity, and the fundamental symmetries of the universe. Prepare to be captivated by the elegance and power of mathematical tools such as knot theory, which unveils the hidden knots and tangles that permeate the fabric of spacetime. Witness the interplay of abstract concepts and physical phenomena as we unravel the secrets of null geodesics, the paths of light that illuminate the universe. This book is an invitation to embark on a journey beyond the boundaries of conventional understanding, to explore the frontiers of human knowledge and question the very nature of reality. With each chapter, you will delve deeper into the intricacies of twistorial geometry, gaining a profound appreciation for the harmonious interplay of mathematics and physics. "Untangling Space-Time Conundrums" is a masterpiece that will challenge your intellect, ignite your curiosity, and leave you in awe of the universe's hidden wonders. Join us on this extraordinary voyage through twisted geometries, where the mysteries of spacetime unravel before your very eyes. If you like this book, write a review!