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 Advances in Sequence Analysis: Theory, Method, Applications by Claus Gerhardt
Cover of the book Problem-based Behavioral Science and Psychiatry by Claus Gerhardt
Cover of the book Meta-Analysis with R by Claus Gerhardt
Cover of the book Educational Research: Discourses of Change and Changes of Discourse by Claus Gerhardt
Cover of the book Quantitative Psychology Research by Claus Gerhardt
Cover of the book Physician's Guide by Claus Gerhardt
Cover of the book Cybersecurity in Switzerland by Claus Gerhardt
Cover of the book Urban Environment, Travel Behavior, Health, and Resident Satisfaction by Claus Gerhardt
Cover of the book The Dental Reference Manual by Claus Gerhardt
Cover of the book Electronic Beam Steering and Polarization Agile Planar Antennas in Liquid Crystal Technology by Claus Gerhardt
Cover of the book The Future of the Postal Sector in a Digital World by Claus Gerhardt
Cover of the book e-Infrastructure and e-Services for Developing Countries by Claus Gerhardt
Cover of the book Clinical Handbook of Cardiac Electrophysiology by Claus Gerhardt
Cover of the book Software-Based Acoustical Measurements by Claus Gerhardt
Cover of the book Archimedes in the 21st Century 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