Quantum gravity framework for the construction of algebraic structure of cosmic spacetime

This paper concentrates on building the algebraic structure of cosmic spacetime within the quantum gravity framework. By merging the theoretical bases of quantum mechanics and general relativity, we examine the algebraic characteristics of spacetime at the quantum level. We present algebraic structures like non-commutative geometry and Hopf algebras, and derive the related algebraic relations for spacetime coordinates and momentum operators. Through detailed analysis, we introduce several key tables and formulas to describe the algebraic structure, exploring its physical implications and potential applications in comprehending spacetime nature and universe evolution.