Unified EFT-architecture of the SU(2)_n BEC-vacuum: Inflation, Gravitational WIMPzilla, and Dark Energy

This repository contains the complete theoretical manuscript, computational verification scripts, and supplementary calculations for the framework unifying Inflation, Dark Matter, and Dark Energy. Abstract: We present a unified cosmological framework based on a low-energy Effective Field Theory (EFT) describing the vacuum as a Bose-Einstein Condensate (BEC) of a complex scalar SU(2) doublet, non-minimally coupled to gravity. By adopting a Madelung parameterization, we demonstrate that a single physical entity can simultaneously account for the three major pillars of modern cosmology. The radial mode of the condensate drives cosmic inflation, yielding an exponential Starobinsky-like plateau in the Einstein frame that perfectly aligns with Planck 2018 constraints (n_s ≈ 0.964, r ≈ 0.004). The angular modes on the CP^1 sphere behave as absolutely stable, superheavy magnon excitations (m_M ~ 10^14 GeV), which are produced purely gravitationally via the Parker-Zel'dovich mechanism, resolving the Dark Matter problem without thermal overproduction. Furthermore, the residual ground state of the condensate yields a strict w = -1 equation of state, acting as Dark Energy. We postulate a scale cascade geometry (the "Matryoshka" hierarchy) that offers a geometric UV/IR duality, providing an analytical approach to the cosmological constant problem. Dataset Contents: manuscript.md: The core theoretical paper detailing the physical and mathematical framework. Supplementary_Calculations.ipynb: A comprehensive Jupyter Notebook containing all Python scripts (SymPy, SciPy) used to computationally verify the analytical results. 00_theoretical_foundation.md - 03_layer_n+1_superworld.md: In-depth derivations of the nested hierarchy ("Matryoshka" model) and scale cascade logic. verify/ Directory: The raw Python source files for 20+ individual physical verification checks and plots.