New Insights into Cosmology through Hopf Algebra

In a recent paper titled "The universe is not a Lie, but actually an Hopf, algebra," author Niccoló Loret explores the application of Deformed Special Relativity models to classical cosmology. The paper, submitted on August 30, 2024, presents a novel approach using the bicrossproduct basis of the (\kappa)-Poincaré algebra to describe photon propagation within the framework of de Sitter classical General Relativity.

Loret discusses the Hopf algebraic characteristics of the de Sitter model and provides a physical interpretation of the (\kappa)-Poincaré Hopf algebra features in spacetime. This work aims to reveal previously unknown General Relativistic relations in de Sitter cosmology and reinterprets aspects of Quantum Gravity phenomenology as classical properties of maximally symmetric spacetime models.

The implications of this research could enhance our understanding of the fundamental structure of the universe and the interplay between quantum mechanics and general relativity. By bridging these concepts, Loret's findings may contribute to ongoing discussions in theoretical physics regarding the nature of spacetime and the fundamental forces governing the cosmos.

For further details, the paper can be accessed through arXiv with the identifier arXiv:2408.16970.