Thinking about a series of posts on number theory and physics

Lately, I've been thinking of writing a blog series on number theory and physics. I've been thinking a lot about this topic of late, or at least about a very small corner of what is an incredibly broad area of research. In fact, the whole business of working to find a canonical class of regulators …

Tameness and Quantum Field Theory

A paper by Michael R. Douglas, Thomas W. Grimm, and Lorenz Schlechter appeared on the archive yesterday. Admittedly, I haven't had time yet to properly work through it. From what I quickly skimmed last night, the paper mainly concentrates on the notion of tameness and how tame classes of functions can be applied in the …

Conference: Higher structures in quantum field theory and string theory

This week I am attending a conference on higher structures in quantum field theory and string theory. It's an event that I have been excited about since the new year. So far there have been some very nice talks, with interesting ideas and calculations presented. There is the expression about going down a rabbit hole. …

Teaching myself Quantum Field Theory and String Theory

I've been a reader in String Theory (ST) for some time. And since my formal admission to university, I have been revising what I had learned and also expanding deeper into ST, whilst satisfying other formal university course requirements. From my understanding, the university is currently considering ways in which my degree may be fast …

Klein–Gordon equation

[latexpage] The other day I was thinking about the Klein-Gordon equation, otherwise known as the Klein–Fock–Gordon equation. I had to use it for something, and afterwards I found myself thinking of its derivation. So, for fun, let's derive it! [For the reader not familiar with this equation, it is a relativistic wave equation related to …

The Standard Model: Elementary Particles

Since the time of at least ancient Greece, human beings have tried to understand the fundamental constituents of all matter in the universe. Indeed, the idea that matter is comprised of discrete units dates back to many ancient cultures. For example, the etymology of the word "atom" can be traced back to the ancient Greek philosophers Leucippus and Democritus. …

The Amplituhedron

The amplituhedron - a newly discovered geometrical object that enlivens the imagination. As a student in the area of theoretical particle physics, it has energised my curiousity in a very unique and notable way. I am absolutely fascinated with this object, so much so that it has been a week with some sleepless nights. Fueled …