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”

# Category Archives: Mathematical Physics

## Quantum Energy Inequalities, Part I

I am pretty sure that some of our readers must know of Sabine Hossenfelder, she is a really good researcher and communicator of science, make sure to check out her Youtube channel. A couple a weeks ago, she released a really good video with some exciting news: new developments in a certain class of warpContinue reading “Quantum Energy Inequalities, 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)”

## A whirlwind tour through Quantum Field Theory to Conformal Field Theory

This is designed as a very casual introduction, there are many aspects which are brushed over and ignored. This is because either it isn’t specifically relevant or I didn’t want to bog down the post with unnecessary minutia when the motivation is just to give one an idea of the subject. There are no referencesContinue reading “A whirlwind tour through Quantum Field Theory to Conformal Field Theory”

## 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)”