Spaces and dimensions
What do mathematicians and physicists mean with phrases like higher and/or extra dimensions? Let’s travel through a Universe of spaces and dimensions!
einstein
The meaning of E=mc²
The most famous equation may not be what you think it is. For example, it’s not about converting mass into energy. And, it’s only a part of the whole thing.
Just a minute: what is a black hole?
What is a black hole? We briefly discuss the Schwarzschild radius.
Simple problems on relativistic energy and momentum
We will focus on a few simple problems where we will manipulate Einstein’s equations for relativistic energy and momentum.
Happy birthday mister Einstein, happy Pi Day to you!
Pi Day is the day on which we commemorate Albert Einstein’s birthday. Also, people celebrate the existence of pi. Here are some cool ways to calculate pi.
Energy is neither fundamental nor conserved
Sometimes you may have heard someone say that, ‘in the end, everything is energy. Einstein himself said that mass equals energy, we are energy ourselves, light is energy, and everything in this universe is energy.’ Often, it is represented as the fundamental substance everything is made out of. And energy is conserved. Both statements are incorrect.
Simple problems on relativistic energy and momentum
We will focus on a couple of simple problems where we will manipulate the equations for relativistic energy en momentum.
What is a spacetime interval?
Einstein and collaborators taught us that space and time are not fixed quantities. They can stretch and contract. They vary. There is one thing, though, that does not vary. It is the invariance of the spacetime interval.
Deriving the Lorentz transformations from a rotation of frames of reference about their origin with real time Wick-rotated to imaginary time
Well-known for their central role in Einstein’s Special Relativity, the Lorentz transformations are derived from the rotation of two frames of reference in standard configuration while time is taken to be an imaginary unit of spacetime. This is rarely seen in the wild. Not many undergraduate textbooks or online texts show the details of the working. Hence, this article.