Lorentz and CPT Invariance Violation In High-Energy Neutrinos

High-energy neutrino astronomy will be capable of observing particles at both extremely high energies and over extremely long baselines. These features make such experiments highly sensitive to the effects of CPT and Lorentz violation. In this article, we review the theoretical foundation and motivation for CPT and Lorentz violating effects, and then go on to discuss the related phenomenology within the neutrino sector. We describe several signatures which might be used to identify the presence of CPT or Lorentz violation in next generation neutrino telescopes and cosmic ray experiments. In many cases, high-energy neutrino experiments can test for CPT and Lorentz violation effects with much greater precision than other techniques.Comment: 27 pages, 8 figure

Calculation of intensity of high energy muon groups observed deep underground

The intensity of narrow muon groups observed in Kolar Gold Field (KGF) at the depth of 3375 m.w.e. was calculated in terms of quark-gluon strings model for high energy hadron - air nuclei interactions by the method of direct modeling of nuclear cascade in the air and muon propagation in the ground for normal primary cosmic ray composition. The calculated intensity has been found to be approx. 10 to the 4 times less than one observed experimentally

The “Difficulties” in Fermat's Original Discourse on the Indecomposability of Powers Greater Than a Square: A Retrospect

A possible version has been identified of the original proof of the decomposability of whole degrees above the square which Pierre Fermat spoke of. This reconstructed evidence is discussed with some extra conclusions drawn from it. Keywords: number theory, Fermat’s Big Theorem/Last Theorem DOI: 10.7176/MTM/9-7-04 Publication date: July 31st 201

Hybrid Simulation of Cosmic Ray Air Showers

Air shower simulations are essential for interpreting data from cosmic ray experiments. At highest energies though, a microscopic treatment of a whole shower is not possible any more, since it would require a huge amount of CPU-time. We review hybrid approaches of air shower simulation which try to overcome this problem without giving rise to artificial fluctuations as generated by the thinning algorithm.Comment: 8 pages, 9 figures, invited talk at the XIII International Symposium on Very High Energy Cosmic Ray Interactions (Sept.6-12), Pylos, Greec

An Analytical Approach to Fluctuations in Showers

We review the problem of fluctuations in particle shower theory. By using a generalization of Furry equation, we find relations between the $n$--particle correlation function and the number of particles average or 1--particle correlation function. Such relations show that the average is the only independent dynamical variable. We also develop a numerical code to solve the equation for the correlation functions and compare the results with those from a Montecarlo simulation which show a perfect agreement between both methods.Comment: 18 pages Latex file and 3 PS figures. Uses Revtex and epsfig.sty Accepted for publication in Astroparticle Physic