Archives for August, 2024
Particle Trajectory in Curved Space Using Jacobi Equation
To derive the trajectory of a particle in a curved gravitational field using the Hamilton-Jacobi equation, we will follow these steps: 1. **Hamilton-Jacobi Equation**: \ Here, \( S \) is…
Curved Space does not need to be embedded in a flat space time
One of the conceptual problems we humans had was visualizing curved Space as something that exists in the foreground of a FLAT background. Riemann showed that there does not need…
Tachyons and the Higgs Boson
Tachyons and Higgs Boson: tachyons, hypothetical particles that travel faster than light, and their connection to the Higgs boson. Tachyons in string theory often indicate instabilities, while the Higgs boson…
String theory Basics
String theory is a theoretical framework where point-like particles are replaced by one-dimensional strings. These strings vibrate at specific frequencies, and their different modes of vibration correspond to different particles.
Black Holes and String Theory
string theory provides insights into the nature of black holes, including the idea that black holes might have "hair" (quantum properties that affect their behavior) and how they can be…