Generally Covariant Quantum Theory
by Johan Noldus
Publisher: viXra 2016
Number of pages: 218
The intention of this book is to dig deep in the first principles of physics and develop, what is known as, a relativistic quantum theory from scratch. By this, I mean a theory for the so-called elementary particles which constitute building blocks of nature which cannot, by hypothesis, be subdivided themselves into smaller parts.
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by B. Booss-Bavnbek, G. Esposito, M. Lesch - Springer
The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. This book will benefit everyone working or entering the field of quantum gravity research.
by Martin Bojowald - arXiv
An overview of the current status of singularities in classical and quantum gravity, starting with the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems ...
by Thomas Thiemann - arXiv
This is a (relatively) non-technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results obtained so far are non-trivial.
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Stephen Hawking and Roger Penrose put forward their related but rather different viewpoints on the nature of space and time. They discuss their different approaches. A basic knowledge of general relativity and quantum theory is assumed.