How could mathematics be the foundation for reality? (# 7)
Each of these articles is a relatively independent discussion about how our reality may have emerged from mathematics, particularly geometry. The mathematician, Alfred Tarski, has shown that the geometry associated with Platonic solids i.e. Elementary Euclidean Geometry, exists eternally in an Anti-de Sitter (AdS) space, a space with negative curvature. Cosmologists have studied various types of AdS space because their analyses potentially provide a better understanding of what happens inside a black hole. This article considers some of the theories developed by these cosmologists.
Dimensions of space
Two of the most important theories in physics are incompatible, namely Einstein’s Theory of General Relativity and Quantum Mechanics. Nevertheless, both theories provide excellent predictions for the phenomena they focus on. They disagree on the nature of gravity. Professor Carlo Rovelli has developed a theory called Loop Quantum Gravity to describe the nature of quantum gravity. Rovelli argues that (Kindle location 2124–2133):
Space is a spin network whose nodes represent its elementary grains, and whose links describe their proximity relations. Space-time is generated by processes in which these spin networks transform into one another, and these processes are described by sums over…
