My latest manuscript, "Can Dimensional Anisotropy Satisfy Mach's Principle?" examines the cosmic structure. In dimensional anisotropy, the dimensions of space depend on the object's location or orientation. Mach's principle states that the universe's mass-energy distribution determines local inertia. In other words, the motion of distant stars must influence the local state or movement. General relativity fails to satisfy this requirement because mass is unaffected by the gravitational field.

Can dimensional isotropy follow Mach's Principle? Let's create a compact wave function, which is isolated by an information-blocking horizon from a spatial field; the separation of the wave function introduces an energy requirement for the corresponding interaction. The condition above stabilizes the spatial curvature and obeys conservation principles. As a result, the field curvature changes smoothly while the isolated quantum waves form a discrete energy spectrum. Thus, the expanding cosmic structure originates in the microstructure of space and gives rise to a quaternion cosmic structure.

Image: the structure of the universe

Watch the video; what is the structure of the universe? The physical foundations of reality. 

Read the article, Can Dimensional Anisotropy Satisfy Mach's Principle? A Topological Approach to Variable Dimensions of Space using the Borsuk-Ulam Theorem in Journal of Astrophysics and Astronomy, Vol: 10(7)

"Can Dimensional Anisotropy Satisfy Mach's Principle?" on Qeios.