Fractal geometry of music

Abstract   Music critics have compared Bach’s music to the precision of mathematics. What “mathematics” and what “precision” are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot’s fractal geometry and the precision is the deviation from a log-log linear … Read more

US Military ‘air optical fiber’ (using femto-second pulsed sound waves) Increases Power of Laser Weapons

Abstract   Allows for much better transmission of lasers through free space.   Content   Researchers in the US, funded by the US Air Force, Defense Threat Reduction Agency (DTRA), and the National Science Foundation, have managed to turn air into an “optical fiber.” This breakthrough allows the scientists to create an air waveguide, allowing … Read more