Some observations on classical and quantum physics. Mathematical methods in the sciences, puzzles and more.
One of the things I never fully grasped in college was the ‘Michelson Morley’ experiment. I understood what it was for (proving the constancy of the speed of light) – and understood that it proved that very well – but … Continue reading
Two friends decide to meet at a definite place between 9 AM and 10 AM. The first to arrive waits for his friend for 15 minutes and then leaves. If each of them arrives at an arbitrary moment between 9 … Continue reading
This is an excerpt from the introduction to the collection of stories above (edited by Isaac Asimov). Asimov remains one of the most prolific writers of all time, having written everything from textbooks, science fiction, literary critiques to just about … Continue reading
Probably the most startling revelation of Quantum Theory was the postulate that all particles have a waviness to them. Initially, when this was proposed for photons, physicist were more open to accepting it – since light was already clearly a … Continue reading
Traffic flow is not that different from the flow of anything else. Imagine heat flow along an iron rod or water flowing down a pipe. If you observe the traffic (on a highway) from a far enough distance, the mass … Continue reading
Quantum Mechanics starting point – The Schrodinger Equation
All laws of physics are required to be Lorentz Invariant . The above equation is not. To try and make it Lorentz invariant, we start with looking at … Continue reading
The real logarithmic function has two interesting properties:
The Flattening property: – a product is flattened into a sum
The Linearizing property: –> Linearized an exponential (growth) function
These properties show the general ‘tone it down’ nature of the logarithmic function. It’s … Continue reading
Imagine you are in a spaceship moving away from the earth at a velocity v. Imagine that a TV broadcast is sent to your spaceship from Earth. How would you see the broadcast?
Some mathematical preliminaries will help figure out … Continue reading
Consider n points lying on the Unit Sphere (the image shows a unit circle instead of a sphere). Show that the sum of the squares of the lengths of all segments determined by the n points is less than … Continue reading
Even if you do not consider math to be a hobby, this article may provide an understanding of why a lot of people do. Not being a math-aficionado, my wife thought it a bit strange that I enjoyed solving math … Continue reading