We are going to learn about the different notions of velocity that the special theory of relativity provides. The special theory of relativity is a simple wonderful theory, but it comes with many misconceptions due to bad teaching/science divulgation. It … Continue reading

# amarashiki

LORENTZ TRANSFORMATIONS IN NON-STANDARD FORM Let me begin this post with an uncommon representation of Lorentz transformations in terms of “uncommon matrices”. A Lorentz transformation can be written symbolically, as we have seen before, as the set of linear transformations … Continue reading

I discussed and reviewed the important Cherenkov effect and radiation in the previous post, here: http://www.thespectrumofriemannium.com/?p=3276 Today we are going to study a relatively new effect ( new experimentally speaking, because it was first detected when I was an undergraduate … Continue reading

The Cherenkov effect/Cherenkov radiation, sometimes also called Vavilov-Cherenkov radiation, is our topic here in this post. In 1934, P.A. Cherenkov was a post graduate student of S.I.Vavilov. He was investigating the luminescence of uranyl salts under the incidence of gamma … Continue reading

Before becoming apparent superluminal readers, we are going to remember and review some elementary notation and concepts from the relativistic Doppler effect and the starlight aberration we have already studied in this blog. Let us consider and imagine the next … Continue reading

Relativistic hydrodynamics is a branch of Relativity Theory that faces with fluids and/or molecules (“gases”) moving at relativistic speeds. Today, this area of Special Relativity has been covered with many applications. However, it has not been so since, not so … Continue reading

“(…)Suppose that someone studying the distribution of population on the Hindustan Peninsula cockshuredly believes that there are no poeple north of the Himalayas, because nobody ca pass throught the mountain ranges! That would be an absurd conclusion. The inhabitants of … Continue reading

This interesting problem was recently found in certain public examination. I will solve it here since I found it fascinating and useful, since it is a problem with “variable mass”. A pulley with negligible mass is given (see the figures … Continue reading

QUESTION: Is the time dilation real or is it an artifact of our current theories? There are solid arguments why time dilation is not an apparent effect but a macroscopic measurable effect. Today, we are going to discuss the “reality” … Continue reading

Example 1. Compton effect. Let us define as “a” a photon of frequency . Then, it hits an electron “b” at rest, changing its frequency into , we denote “c” this new photon, and the electron then moves after the … Continue reading