Division algebras and the factorization of Einstein's field equations

A division algebra of highest possible dimension is the eight-dimensional Cayley algebra. This remarkable property of mathematics suggests an intimate fundamental connection between Cayley algebras and descriptions of the physical universe. On this basis, it is suggested that Einstein's field equations with the huge Λ (Nickerson Int. J. Theor. Phys.; 14: 367 (1975)) be factored by use of such an algebra. This factorization promises to yield Dirac-like spinor quantum wave equations. (author)