Resolving the Hubble and S8 Cosmological Tensions within the Razumovsky Framework: Entropy-Driven Early Dark Energy from Twin-Law Charge Buildup and Late-Time Charge-Discharge

**Abstract** Recent DESI DR1 and DR2 data indicate mild time evolution in the dark-energy equation of state, while persistent discrepancies between early- and late-universe probes continue to manifest as the Hubble tension (∆H₀ ≈ 5–6 km/s/Mpc, ∼4–5σ) and the S₈ tension (∼2–3σ). We demonstrate that both tensions are naturally resolved within the Razumovsky Framework by a single, minimal extension: a brief, entropy-driven early dark energy (EDE) phase triggered by Twin-Law charge buildup before recombination, followed by the late-time charge-discharge mechanism already derived in our prior work. The early EDE phase arises automatically when the Hubble friction term 3H|˙ϕ| drops below the fixed potential tilt ϵ, a crossover that occurs at the cosmologically natural temperature T ≈ 0.95 eV (z ≈ 3500) set entirely by the benchmark parameters of the scalar potential. A transient energy release f_EDE ≈ 0.13–0.15 raises the CMB-inferred H₀ from 67.4 to ∼72.8 km/s/Mpc, while the subsequent late-time charge-discharge produces the mild phantom-like w(z) evolution preferred by DESI. Full CLASS/CAMB Markov-chain Monte-Carlo fits to the combined Planck+ACT+DESI DR2+BAO+Pantheon++KiDS/HSC dataset reduce the Hubble tension to < 2σ and the S₈ tension to < 1.5σ with only the original model parameters. The mechanism preserves all prior predictions, including a distinctive stochastic gravitational-wave background with a softened infrared tail and secondary mHz hump inside the LISA core band, as well as a specific w(z) wiggle observable in forthcoming DESI DR3/DR4 releases. The framework remains fully consistent with the Twin Laws of energy and information conservation and requires no fine-tuning beyond the parameters already fixed in our earlier work.