Solving the Einstein Equation
A post discussing the Einstein equation, the systems for which it can be solved exactly as well as the techniques used to find approximate solutions to more complicated spacetimes.
Category Archives: Mathematics
Inspirational Systems
A post explaining the research area of my new PhD – gravitational wave emission from binary sources, their detection and the key insights they provide into the nature of gravity.
Black Holes: #5 Fuzzballs
A post explaining the fuzzball, believed by string theorists to be the true quantum description of a black hole. The theory seeks to resolve the famous information paradox and eliminate the existence of troublesome singularities at the centre of black holes.
Black Holes: #4 Perturbing
A continuation in the series on Black Holes, examining the Black Hole Stability Conjecture. Asking whether, when black holes are disturbed they return to their stable state after spewing out gravitational waves.
Not your “general” relativity
A post describing Einstein-Cartan theory; an alternative to Einstein’s General Relativity which could more closely describe the universe, as well as removing some of the big problems posed by general relativity.
AdS/CFT: a deep duality
A post qualitatively explaining the main ideas behind the AdS/CFT correspondence. The breakthroughs in theoretical physics due to the theory are outlined along with the consequences for how we view our universe.
Dividing by zero
Why you can’t divide by zero – the limit does not exist.
What is a Group?
Today we will present the basics of Group Theory. Group Theory is essential to theoretical physics as it examines the symmetries of nature to uncover fundamental connections and patterns within the universe.
The Black-Scholes Equation
A brief introduction into the world of financial mathematics, with an explanation of what the Black-Scholes equation is and why it has quickly become so important.
The power of Bayes
An introduction to Bayes theorem, a powerful way of thinking that can influence the way you see the world and allow you to reveal the truth. A very limited use of percentages and probabilities are used to illustrate the ideas.
