Complex Formalism in Quarkbase Cosmology extends Quarkbase Cosmology into the complex domain, showing that complex notation unifies gravitational, electromagnetic, and quantum phenomena within a single analytical structure. The complex field Ψ(x,t) = A e^{i(ωt−k·x)} simultaneously represents longitudinal pressure modes and transverse vorticity of the etheric plasma, allowing Maxwell’s equations, quantum wave behaviour, and emergent gravity to be expressed as coherent manifestations of the same medium. Lorentz invariance is preserved exactly, the electromagnetic field becomes a complex pressure–vorticity wave, and quantum mechanics emerges from the statistical behaviour of the same complex ether. The formalism also derives the nucleus–electron resonance at r₍B₎ directly from phase conditions. This work establishes the complex representation as a natural and unified language for all interactions in the Quarkbase framework.
Date: Nov 15, 2025
Author: Carlos Omeñaca Prado
ORCID: https://orcid.org/0009-0001-9750-5827
Resource type: Preprint
Publisher: Zenodo
License: CC BY-SA 4.0 International
Related links:
- https://zenodo.org/records/17716749
- https://archive.org/details/complex-formalism-in-quarkbase-cosmology
- https://www.academia.edu/145245982/Complex_Formalism_in_Quarkbase_Cosmology_Unified_Description_of_Gravitational_Electromagnetic_and_Quantum_Interactions