Dilaton backreaction on an anomaly-inspired axion potential generates a closed-form Lambert-W flattened hilltop, giving r ≈ 0.033–0.036 and α_s ≈ −4.6×10^{-4} at N=56 with strictly adiabatic dynamics.
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Bulk viscosity deforms the radiation era to produce a sign-definite Ricci scalar derivative, enabling gravitational baryogenesis to match the observed baryon asymmetry η_obs ≈ 8.6×10^{-11} for ξ in 10^{-4}–10^{-3}.
Single-field inflation with ε(N) approaching a constant in (0,1) at early times forms an asymptotic universality class with a Weyl-flat null origin while producing ns and r values compatible with Planck data.
Hamilton-Jacobi analysis of slow-roll inflation with non-Bekenstein-Hawking entropies yields fitted entropy parameters (δ≈1.1-1.2, α∼10^{-14}, K∼10^{-17}) consistent with ns and r data.
Recent CMB datasets tighten 95% CL upper bounds on vector-mode amplitude r_v to 1.3e-4 (neutrino isocurvature), 6.8 (octupole), and 4.2 (sourced) at k=0.05 Mpc^-1, with no significant detection.
The review summarizes the baseline SM+GR+Lambda-CDM framework, lists major anomalies and missing pieces, surveys theoretical and experimental approaches, and outlines a staged roadmap organized by decision points.
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Fundamental Physics in 2025: Status, Decisive Targets, and Path Forward
The review summarizes the baseline SM+GR+Lambda-CDM framework, lists major anomalies and missing pieces, surveys theoretical and experimental approaches, and outlines a staged roadmap organized by decision points.