Calculating the photon time of flight under Lorentz invariance violation in an expanding universe

• Grant number: 22/02025-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2022
• End date: November 30, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Luiz Vitor de Souza Filho
• Grantee: Tales Leme Mundo
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 21/01089-1 - Cherenkov Telescope Array: construction and first discoveries, AP.ESP

Abstract

This project is an introduction to Special Relativity and Cosmology including the possibility of Lorentz Invariance Violation (LIV). The student will understand the fundamentals of Special Relativity and Cosmology in a context beyond usually taught in introductory courses in the under-graduation. After learning the basics, the student will calculate the time delay of two photons with different energies in an expanding Universe. This knowledge will pave the road for graduate studies on the possibility to detect LIV with CTA.(AU)