Dynamic Dark Energy as Computational Cost: Unified Resolution of DESI and JWST Tensions via the Landauer-Kolmogorov Mechanism With Empirical Validation of Electro-Gravitational Prediction P4

Recent measurements from the Dark Energy Spectroscopic Instrument (DESI) reveal a dynamic dark energy equation of state parameter (w ̸= −1 at ∼ 3σ), whilst observations from the James Webb Space Telescope (JWST) show an excess of massive galaxies at z > 7 incompatible with ΛCDM predictions. We demonstrate that a single theoretical framework provides a unified explanation for both sets of observables and offers independently falsifiable predictions. The framework rests upon three principles: (i) Landauer’s erasure principle applied at cosmological scales, (ii) Gorini-Kossakowski-Sudarshan- Lindblad (GKSL) master equation dynamics with gravitational anchoring, and (iii) a fundamental computational complexity threshold κc = 2.04 analogous to the finestructure constant α. The framework derives—rather than postulates—a correlation between dark energy density ρΛ(z) and cosmic star formation rate ψ(z), which we verify using combined DESI+JWST data (P3: robs = 0.68±0.12 versus control rΛCDM = 0.02±0.08, p ≲ 10−4). Crucially, we report preliminary evidence for the framework’s electro-gravitational prediction (P4): a correlation between the observational template ψ(z) and a statistic sensitive to Λ(z) with βobs = 0.65842, highly improbable under the null hypothesis (pemp ≈ 5×10−5, corresponding to ∼ 4.2σ). This signal persists under multiple covariance models (diagonal, exponential, Mat´ern) with N=20,000 simulations. The evidence must be considered provisional until additional robustness checks are completed (spatial jackknife, empirical covariance, Δz systematics). Unlike phenomenological models, our approach produces additional falsifiable predictions: matter-wave decoherence scaling τ ∝ ρ−1/4 (verifiable with MAQRO/OTIMA, 2027-2032) and electromagnetic corrections in extreme fields (verifiable with pulsar timing arrays).