Disclaimer: This post is part of a series about Hadamard. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. Within the framework of algebraic QFT (AQFT), the fields are the fundamental observables of the theory and are algebra-valued distributions. TheContinue reading “Hadamard states: Part I”

# Tag Archives: quantum gravity

## An informal outline of Noncommutative Geometry (Part III)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. The fuzzy sphere is a really nice example of how the Noncommutative Gel’fand-Naimark Theorem (NCGNT) can be used to defineContinue reading “An informal outline of Noncommutative Geometry (Part III)”

## An informal outline of Noncommutative Geometry (Part II)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. In the first part of this series, I mentioned that Noncommutative Geometry (NCG) can be rather opaque because the notionContinue reading “An informal outline of Noncommutative Geometry (Part II)”

## An informal outline of Noncommutative Geometry (Part I)

Disclaimer: This post is part of a series about Noncommutative Geometry. I do not pretend to be rigorous nor thorough. The main idea is just to cover (in a rather informal way) the main concepts. General Relativity might be one of the most beautiful and powerful theories produced by mankind to this day. However, itContinue reading “An informal outline of Noncommutative Geometry (Part I)”