The Quantization of Gravity

Nonfiction, Science & Nature, Science, Physics, Gravity, Cosmology
Cover of the book The Quantization of Gravity by Claus Gerhardt, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Claus Gerhardt ISBN: 9783319773711
Publisher: Springer International Publishing Publication: April 14, 2018
Imprint: Springer Language: English
Author: Claus Gerhardt
ISBN: 9783319773711
Publisher: Springer International Publishing
Publication: April 14, 2018
Imprint: Springer
Language: English

​A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions  for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are  products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.  

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

​A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions  for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are  products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.  

More books from Springer International Publishing

Cover of the book The Art of Science by Claus Gerhardt
Cover of the book Smart Camera Design by Claus Gerhardt
Cover of the book Multifunctional Land-Use Systems for Managing the Nexus of Environmental Resources by Claus Gerhardt
Cover of the book Information Geometry by Claus Gerhardt
Cover of the book Erich Auerbach and the Crisis of German Philology by Claus Gerhardt
Cover of the book Spatial Big Data Science by Claus Gerhardt
Cover of the book Sexual Crime and the Experience of Imprisonment by Claus Gerhardt
Cover of the book Knowledge, Morals and Practice in Kant’s Anthropology by Claus Gerhardt
Cover of the book Steven Spielberg's Style by Stealth by Claus Gerhardt
Cover of the book Model-Based Safety and Assessment by Claus Gerhardt
Cover of the book Concentrating Photovoltaics (CPV): The Path Ahead by Claus Gerhardt
Cover of the book Solid State Physics by Claus Gerhardt
Cover of the book The Political Economy of Wasta: Use and Abuse of Social Capital Networking by Claus Gerhardt
Cover of the book Biology of Orthodontic Tooth Movement by Claus Gerhardt
Cover of the book Managing Corporate Responsibility in the Real World by Claus Gerhardt
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy