The topic today is to review a beautiful paper and to discuss its relevance for theoretical physics. The paper is: Comment on the cosmological constant and a gravitational alpha by R.J.Adler. You can read it here: http://arxiv.org/abs/1110.3358 One of the … Continue reading
The off-topic post today (I am trying to edit a complete long thread about “fundamental constants” and “units” in Physics for the next posts, so be patient, please) is graph theory through a wonderful film. I have always loved the … Continue reading
In a nice paper titled Dimensionality, see here http://rsta.royalsocietypublishing.org/content/310/1512/337.short , the physicist John Barrow studied the rôle of known fundamental constants and their links to the dimensionality of space-time. I will review the main ideas appearing in that paper, and … Continue reading
Position or displacement and its various derivatives define an ordered hierarchy of meaningful concepts. There are special names for the derivatives of position (first derivative is called velocity, second derivative is called acceleration, and some other derivatives with proper name), … Continue reading
I found this fun (Spanish) exam about Special Relativity at a Spanish website: Solutions: 1) 2) 3) t=13.6 months = 13 months and 18 days. Calculations: 1) We use the relativistic addition of velocities rule. That is, where u=Millenium Falcon … Continue reading
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
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