This author created a cosmology using hypercomplex numbers in January, 2020. In the following two years he rapidly evolved it to Octonion Cosmology. Recently he created a new formulation called Hypercomplex Cosmology. This formulation has a much cleaner spectrum of spaces, and it supports a deeper stratum of infinitesimal quantities, Gold Dust, that accretes to form the particles, spaces, masses, and energies of Hypercomplex Cosmology.

This book extends the 10 space spectrum to an infinite number of spaces. The new spectrum is then reduced to the physical 10 space spectrum plus an infinite spectrum of fractional spaces. The additional fractional spaces are used to fractionate universes, particles, interactions, and creation/annihilation operators through a series succession of fineness levels to infinitesimal parts that are called Gold Dust. They are the stuff of everything in Hypercomplex Cosmology. The theory reaches to the level of one substance of varying attributes-realizing the dream of the PreSocratic Philosophers: Anaximander, Thales, Parmenides, Zeno, Democritus, …

Hypercomplex Cosmology is shown to have a basis in scaling using a new model that generates Cayley numbers and the spectrum of 10 spaces. A breakdown of scaling limits the number of physical spaces to 10.

The extension to the consideration of an infinite set of spaces leads to negative space-time dimensions, which are physically reasonable.

Hypercomplex Cosmology is shown to be based on infinitesimal local parts, Gold Dust, that combine to form the particles of Nature with Gold Dust confinement analogous to quark confinement.

The critical importance of creation/annihilation operators in the formulation of Hypercomplex Cosmology led the author to revive his 1998 formulation of the Cosmos as a computer program in a computer language defined with creation/annihilation operators. Hypercomplex Cosmology has a clear computation formulation.