Primordial Coherence Theory (PCT): field structure \Phi = \tau + \psi + \psi^\ast + \xi and cosmological implications

We present the Primordial Coherence Theory (PCT), where the Universe is described by a primordial field \Phi = \tau + \psi + \psi^\ast + \xi . Here, \tau is a stationary component (akin to dark energy), \psi,\psi^\ast are coherent oscillations realizing an effective dark-matter sector, and \xi encodes memory/information corrections. On cosmological averages, PCT reduces to \LambdaCDM, while introducing testable deviations such as: galaxy rotation curves shaped by coherent oscillations, redshift-dependent corrections affecting the H_0 and S_8 tensions, an informational/memory component relevant to complex systems. This deposit includes: A complete LaTeX article (English) with abstract, theory, equations, and figures. Three illustrative 3D figures generated from toy models. BibTeX references. A Makefile for compilation. Zenodo metadata file (.zenodo.json). Released under the Creative Commons Attribution 4.0 license (CC BY 4.0). The package provides a reproducible, open-source baseline for further research and quantitative extensions of PCT.