How to Tame the Endless Infinities Hiding in the Heart of Particle Physics

How to Tame the Endless Infinities Hiding in the Heart of Particle Physics

7/16/2023

link

https://www.quantamagazine.org/alien-calculus-could-save-particle-physics-from-infinities-20230406/

summary

This article discusses how mathematicians and physicists are using a concept called 'alien calculus' to address the problem of infinities in particle physics calculations. In particle physics, calculations often involve infinite terms that need to be removed or canceled out. Alien calculus provides a new mathematical framework that allows physicists to manipulate these infinities in a more systematic and controlled way. By introducing 'aliens' as new mathematical elements, which are infinitely large or small, physicists can perform calculations that were previously impossible. The article explains the principles behind alien calculus and how it is being used to tackle longstanding problems in particle physics, potentially leading to breakthroughs in our understanding of the fundamental nature of the universe.

tags

particle physics ꞏ quantum mechanics ꞏ theoretical physics ꞏ mathematical physics ꞏ calculus ꞏ mathematical modeling ꞏ theoretical calculations ꞏ quantum field theory ꞏ renormalization ꞏ infinite series ꞏ mathematical foundations ꞏ mathematical concepts ꞏ mathematical equations ꞏ mathematical abstraction ꞏ advanced mathematics ꞏ quantum gravity ꞏ high-energy physics ꞏ mathematical tools ꞏ mathematical techniques ꞏ mathematical formalism ꞏ mathematical principles ꞏ mathematical structures ꞏ mathematical analysis ꞏ mathematical methods ꞏ mathematical understanding ꞏ theoretical framework ꞏ mathematical reasoning ꞏ mathematical complexity ꞏ mathematical precision ꞏ mathematical beauty ꞏ mathematical elegance ꞏ mathematical applications ꞏ mathematical breakthroughs ꞏ new mathematical approaches ꞏ mathematical theory ꞏ mathematical innovations ꞏ mathematical advancements ꞏ foundations of physics ꞏ fundamental physics ꞏ quantum phenomena ꞏ mathematical rigor