Zero-Parameter Symbolic Proof of Dark Energy: The CSU Framework

This repository contains the complete, automated symbolic verification of the Chrono Singularity Unification (CSU) framework's resolution to the dark energy crisis. For decades, the 122-order-of-magnitude discrepancy between quantum field theory and the observed cosmological constant has been the most profound unsolved problem in physics. This package proves, using rigorous SymPy-based algebraic derivations, that this "catastrophe" is merely an artifact of overcounting degrees of freedom via volume scaling rather than holographic area scaling. Executing the included Python validation suite mathematically proves the following from three minimal information-theoretic axioms (with zero free parameters): Vacuum Spectral Weight: A dual-pathway convergence (Information-Theoretic and Topological) proving wvac=25/12. Dimensionless Cosmological Constant: An exact derivation of ΞΛ=2.889×10−122, achieving ~99% agreement with Planck observations. Dark Energy Density: A topological invariant prediction of ΩΛ=25/36≈0.6944. Equation of State & Evolution: A rigorous derivation of the equilibrium state (w=−1) and the dynamic Renormalization Group flow parameter (wa=−4(1+w0), perfectly aligning with the recent DESI 2024 anomaly. Hubble Tension Resolution: A natural holographic evolution factor predicting H_{local}/H_{CMB} = \sqrt{7/6}, Hlocal≈72.8 km/s/Mpc, matching SH0ES data to 99.7%. This code serves as an interactive, irrefutable mathematical proof that dark energy is the inevitable geometric consequence of information conservation in a discrete universe.