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”

## 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)”

## Greetings and welcome to Non Sequitur!

In this blog, you will find posts from three PhD students that come from very different fields: mathematical physics and number theory. Our main purpose is to share things that we find interesting, that includes but isn’t limited to problems, paper and book reviews, scribbles from the pub, or anything else that draws our attention.Continue reading “Greetings and welcome to Non Sequitur!”