LOG#105. Einstein’s equations.

In 1905,  one of Einstein’s achievements was to establish the theory of Special Relativity from 2 single postulates and correctly deduce their physical consequences (some of them time later).  The essence of Special Relativity, as we have seen, is that  … Continue reading

LOG#103. Numbers: the list.

Hello, eager earthlings! Today, my list is about fascinating number types. I love them all so much… 1) Natural numbers. 2) Integer numbers. 3) Fractional numbers. 4) Irrational numbers. 5) Real numbers. 6) Complex numbers. 7) Quaternions. 8) Octonions/Octaves/Cayley numbers. … Continue reading

LOG#102. Superstuff: the list.

Hello, Earth planet! Hello, earthlings! I want to share with you my list of favourite “superstuff”…Enjoy it: 1) Supersymmetry. 2) Superspace. 3) Supermatrix. 4) Superdeterminant. 5) Supergravity. 6) Superstrings. 7) Super p-branes. . Question: What about or “fractional branes”? 8) … Continue reading

LOG#051. Zeta Zoology.

This log-entry is an exploration journey… To boldly go, where no zeta function has gone before… Riemann zeta function The Riemann zeta function is an object related to prime numbers. In general, it is a function of complex variable defined … Continue reading

LOG#050. Why riemannium?

TABLE OF CONTENTS DEDICATORY 1. THE RIEMANN ZETA FUNCTION ζ(s) 2. THE RIEMANN HYPOTHESIS 3. THE HILBERT-POLYA CONJECTURE 4. RANDOM MATRIX THEORY 5. QUANTUM CHAOS AND RIEMANN DYNAMICS 6. THE SPECTRUM OF RIEMANNIUM 7. ζ(s) AND RENORMALIZATION 8. ζ(s) AND … Continue reading

LOG#049. Ludicrous speed.

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

LOG#048. Thomas precession.

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

LOG#047. The Askaryan effect.

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

LOG#045. Fake superluminality.

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

LOG#044. Hydrodynamics and SR.

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