LOG#188. Scales of (quantum) gravity?

Hello, world! In the paper Notes on several phenomenological laws of quantum gravity, by Jean-Philippe Bruneton, you find a very interesting discussion I am going to enlarge about the scales of (quantum) gravity. With Planck quantities:         … Continue reading

LOG#187. Hypothetical particles: the list.

Fast post! List of particles not yet confirmed or completely confirmed to exist: Preons. (“boojums” and “snarks”?) Pre-preons. Prequarks. Rishons. Subquarks. Haplons. Hexads/Hexons (and trons?). Bradyons (tardyons, ittyons). Superbradyons. Elvisebrions. Erebons. Darkons. . . -bosons, -particles. -bosons, -particles. Luxons (beyond … Continue reading

LOG#186. Polylogarithmic condensates.

Today, I return to my best friends. The polylogs! Are you ready for polylog wars? The polylogarithm can be represented by the next integral: (1)   As you know, if you follow my blog, you have         … Continue reading

LOG#185. Geometricobjects.

I have the power! I have a power BETTER than the Marvel’s tesseract. It is called physmatics. Hi, there! We are back to school. This time, I am going to give you a tour with some geometrical objects, or geometricobjects, … Continue reading

LOG#178. Divergent sums: The Number awakens!

Are you divergent? Divergences are usually sums or results you would consider “infinite” or “ill-defined” (unexistent) in normal terms. But don’t be afraid. You can learn to “regularize” a divergent series or sum. Really? Oh, yes!Beyond faction of a well-known … Continue reading

LOG#170. The shortest papers ever: the list.

Hi, everyone. In this short post I am going to discuss some of the shortest papers ever written all over the world!!!!! This idea came to my mind due to a post by @seanmcarroll on twitter and other social networks… … Continue reading

LOG#168. D-dimensional laws(III).

The question of the origin of mass is one of the more important issues in theoretical physics. The existence (or not) of extra dimensions of space and time will likely affect to the final solution of this unsolved problem. The … Continue reading

LOG#165. Rogers-Ramanujan identities.

There are some cool identities, very well known to mathematicians and some theoretical physicists or chemists, related with Ramanujan. They are commonly referred as Rogers-Ramanujan identities (Rogers, 1894; Ramanujan 1913,1917 and Rogers and Ramanujan, 1919). They are related to some … Continue reading

LOG#164. Theta functions.

Hi, there! We are going to explore more mathematical objects in this post. Today, the objects to study are theta functions. A prototype is the Jacobi theta function: (1)   where and . It satisfies the functional equation (2)   … Continue reading

LOG#163. Q-stuff and wonderful functions.

In this blog post I am going to define and talk about some interesting objects. They are commonly referred as q-objects in general. The q-Pochhammer symbol is the next product: (1)   with . The infinite product extension is also … Continue reading