The Hyperspheric Wave Front (HWF): A Proposal for the Structure of Space–Time

This work synthesizes and systematizes the results presented in four previous articles on the theory of the Hyperspheric Wave Front (HWF). The proposal describes the universe as the surface of a hypersphere in a seven–dimensional complex space C7, whose radius expands at the speed of light. In this framework, time is interpreted as a traveled distance, mass as an emergent pattern, and momentum as an invariant quantity between reference frames. Furthermore, a generalized cross product in C7 is introduced, applied to the extension of the Biot–Savart law, leading to the identification of the electrostatic force with the electromagnetic force within the HWF framework. Finally, these ideas are contrasted with Special and General Relativity, and their conceptual and experimental implications are discussed.