A follow up to my earlier posts on time dilation and length contraction. This post will talk about how velocities add under Special Relativity and how it differs that Newton’s laws of motion. Expe...

The following is a solution to TTM book 4, lecture 5, exercise 1: Given the metric $g_{\mu \nu}(X)$, show that the Euler-Lagrange equation, to minimize the action along a trajectory in space-ti...

My mind map for Theoretical Minimum, General Relativity. Lecture 6

My mind map for Theoretical Minimum, General Relativity. Lecture 5 - Metric for a Gravitational Field Check out my solution to exercise 1!

My mind map for Theoretical Minimum, General Relativity. Lecture 4 - Geodesics and Gravity

My mind map for Theoretical Minimum, General Relativity. Lecture 3 - Flatness and Curvature

My mind map for Theoretical Minimum, General Relativity. Lecture 2 - Tensor Mathematics Check out my Vector Viewer app to see contravariant & covariant vectors in action!

My mind map for Theoretical Minimum, General Relativity. Lecture 1 - Equivalence Principle and Tensor Analysis

This is a second post on electrical circuits and their similarity to mechanical oscillators. The previous post covers the mechanical harmonic oscillator and the LC circuit. This post focuses on the...

A weight on a spring has a mathematical similarity with an electrical circuit consisting of a capacitor and inductor (LC circuit). They are both examples of harmonic oscillators which exhibit a sin...