WILD FRACTAL NATURE OF SPACETIME, THE

Covering 20 years of Dr Torsten Asselmeyer-Maluga's research, this book shall be viewed as a second volume to Exotic Smoothness and Physics (written in collaboration with Prof. Carl Brans).

A prominent question that the author tries to find an answer to is, how does specific physics emerge from the abstract mathematics of 4-manifolds? The key idea to that question is Smooth Quantum Gravity, a theory based on very few principles and therefore easily understood. Through the application of this theory, a connection between geometry/topology and quantum physics is created.

In The Wild Fractal Nature of Spacetime, Dr Torsten Asselmeyer-Maluga explains Smooth Quantum Gravity and applies it to the standard cosmological model. Through that, the inflationary expansion of the cosmos is introduced, the cosmological constant is calculated, dark matter is shown as a direct consequence and the Big Bang is described as well. The entire concept of the cosmos is based on a model of spacetime, which is based on 4 simple axioms and thus uniquely defines it. As a result, measurable quantities such as the inflation rate and the cosmological constant can be calculated and compared with the measurement results of the PLANCK mission, for instance.

However, the results on inflation theory, the cosmological constant and dimensional reduction can be understood and used independently from an exotic smoothness structure — no prior knowledge on the topic is required.

The author recommends his book to scientists and interested students who see the world through the lens of geometry and physics.

Contents:

• Preface
• Introduction and Background
• Mathematical Preliminaries: 4-Manifolds and Exotic Smoothness Structures
• First Steps into Exotic Spacetime
• A Codimension-1 Foliation of Small Exotic ℝ⁴ — the Bridge to the Quantum World
• 4-Manifolds and Non-Commutative Geometry — Exotic Smoothness as Quantized Geometry
• Smooth Quantum Gravity: The Action
• Fractal Nature of Spacetime: Cosmology and 4-Manifolds
• Particles and Interactions from Exotic Spacetime
• Bibliography
• Index

Readership: Researcher in quantum gravity, general relativity and differential topology. Interested Students (Graduate School) in quantum gravity, general relativity and differential topology.