On the Unique Direct Sum Decomposition of the Cl(1, 9) Clifford Algebra in a Dynamic-Algebraic Framework

Key Points

• The study establishes a unique direct sum decomposition of Cl(1,9), emphasizing its algebraic structure and relevance.
• Key findings include a central subalgebra isomorphic to Cl(1,3), explaining its connection to Minkowski spacetime.
• Using idempotent elements, a formal framework is provided that links algebraic concepts to mathematical physics.
• The results potentially enhance understanding in theoretical cosmology, bridging algebraic structures with geometric principles.

Abstract