Hi, folks! Before the upcoming series of thematic blog posts (they are on their way, eager readers), I found a very interesting paper to discuss. The paper is this http://arxiv.org/abs/1408.1820 and the pdf file can be found here http://arxiv.org/pdf/1408.1820v1.pdf . The author of the … Continue reading

# Category Archives: Extra dimensions

An interesting but relatively unknown variation of the Bohr model is to use a logarithmic potential energy. In that case, we have (1) (2) (3) Bohr quantization rules impose and that so (4) and then (5) (6) (7) The momentum … Continue reading

The Bohr model of the hydrogen atom is a cool and nice “toy model”. It serves as a prototype in many applications, even if it is not fully “quantum”. It does provide many applications. In this post, and the followings, … Continue reading

The year 2013 is coming to its end…And I have a final gift for you. An impossible post! This year was the Bohr model 100th anniversary. I have talked about this subject already, here, here and here. The hydrogen spectrum is very important in Astronomy, … Continue reading

Some conclusions of this fascinating subject and thread about the mythical spacetime foam: (1) CDM(Cold Dark Matter) and MOND seems to be complementary descriptions of the same dynamics and phenomenology. (2) MOND force law works at galactic scales. This can … Continue reading

The second post in this thread is completely speculative. 1) Suppose that Dark Energy is some kind of “fluid” made of some long wavelength “particles” or “exotic stuff”. 2) How different are those “Dark Energy particles” from the particles we … Continue reading

Some weeks ago, I was studying some papers and talks by Jack Ng. I am going to share with you what I have learned from them, about the wonderful subject of the “quantum spacetime foam”. Some topics and ideas I … Continue reading

“(…)A similar path to the same goal could also be taken in those manifolds in which the line element is expressed in a less simple way, e.g., by a fourth root of a differential expression of the fourth degree…(…)” … Continue reading

TABLE OF CONTENTS CENTENARY BLOG POST! And dedicatories… 1. Serendipitous thoughts about my 100th blog post 2. The search for unification and higher dimensional theories 3. Final relativity 4. Kalitzin’s metric: multitemporal relativity 5. Spacetime crystals and crystalline relativity: concepts … Continue reading

My second post this day is a beautiful relationship between the Riemann zeta function, the unit hypercube and certain multiple integral involving a “logarithmic and weighted geometric mean”. I discovered it in my rival blog, here: http://tardigrados.wordpress.com/2013/01/08/la-funcion-zeta-de-riemann-definida-en-terminos-de-integrales-multiples/ First of all, … Continue reading