Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere

In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited from the non-associative structure of the Clifford bundle on S7 are demonstrated. They naturally lead to general transformations of the spinor fields on S7 and have dramatic consequences for the associated Kac-Moody current algebras. All additional properties concerning the non-associative structure in the Clifford bundle on S7 are considered. We further discuss and explore their applications.Comment: 16 page

Making a Great Performance: A Step-by-Step Guide

This project is meant to synthesize the body of knowledge I gained from my First-Year Seminar and my own research into a practical guide for excellence in performance. In it I address a number of stages and steps necessary for successful performance and various ways of going about those. While it focuses more heavily on the performance of music, due to my background and my intention to become a music educator, much of the text can be used in any field

Kendrick Lamar and Hip-Hop as a Medium for Social Change

This paper provides a context and then analysis of Kendrick Lamar\u27s albums as they relate to advocating and affecting social change. The purpose is to show through example how hip-hop (and music in general) can act as an avenue towards creating positive change for oppressed peoples

Bandidos Mexicano

Twin day sounded like an innocent enough theme for Homecoming spirit week at a high school. It was just people wearing matching clothes, taking some pictures, and laughing a bit. But that day, six girls walked to class in bright ponchos, giant sombreros, and stick-on mustaches, wielding fake green cards to boot. They were followed by a seventh with “Border Patrol” scrawled in black marker on a sign taped to her back. [excerpt

Extracting physical chemistry from mechanics: a new approach to investigate DNA interactions with drugs and proteins in single molecule experiments

In this review we focus on the idea of establishing connections between the mechanical properties of DNAligand complexes and the physical chemistry of DNA-ligand interactions. This type of connection is interesting because it opens the possibility of performing a robust characterization of such interactions by using only one experimental technique: single molecule stretching. Furthermore, it also opens new possibilities in comparing results obtained by very different approaches, in special when comparing single molecule techniques to ensemble-averaging techniques. We start the manuscript reviewing important concepts of the DNA mechanics, from the basic mechanical properties to the Worm-Like Chain model. Next we review the basic concepts of the physical chemistry of DNA-ligand interactions, revisiting the most important models used to analyze the binding data and discussing their binding isotherms. Then, we discuss the basic features of the single molecule techniques most used to stretch the DNA-ligand complexes and to obtain force x extension data, from which the mechanical properties of the complexes can be determined. We also discuss the characteristics of the main types of interactions that can occur between DNA and ligands, from covalent binding to simple electrostatic driven interactions. Finally, we present a historical survey on the attempts to connect mechanics to physical chemistry for DNA-ligand systems, emphasizing a recently developed fitting approach useful to connect the persistence length of the DNA-ligand complexes to the physicochemical properties of the interaction. Such approach in principle can be used for any type of ligand, from drugs to proteins, even if multiple binding modes are present

Asymptotic freedom in the Hamiltonian approach to binding of color

We derive asymptotic freedom and the $SU(3)$ Yang-Mills $\beta$-function using the renormalization group procedure for effective particles. In this procedure, the concept of effective particles of size $s$ is introduced. Effective particles in the Fock space build eigenstates of the effective Hamiltonian $H_s$, which is a matrix written in a basis that depend on the scale (or size) parameter $s$. The effective Hamiltonians $H_s$ and the (regularized) canonical Hamiltonian $H_{0}$ are related by a similarity transformation. We calculate the effective Hamiltonian by solving its renormalization-group equation perturbatively up to third order and calculate the running coupling from the three-gluon-vertex function in the effective Hamiltonian operator.Comment: Presented at XII Quark Confinement and the Hadron Spectrum, Thessaloniki (Greece) August 29th - September 3rd 2016. 8pages, 4 figure