Pre-registered Predictions of the Unified Vibrational Force Theory (UVFT) for the Vera Rubin Observatory (LSST): S8 Suppression, Dark Energy Evolution, and Matter Power Spectrum Modulations

This document presents three quantitative, pre-registered cosmological predictions derived from the Unified Vibrational Force Theory (UVFT) [Borgiani, 2025; doi:10.5281/zenodo.16730869]. These predictions are submitted to the public record in March 2026, prior to the release of the Vera C. Rubin Observatory / LSST Data Preview 2 (DP2). All results are derived from the three fundamental and immutable parameters of the UVFT (m, λ, γ₀), which were previously calibrated to satisfy the consistency conditions for the fine-structure constant (αₑₘ), Newton’s gravitational constant (G), and the W-boson mass (mW). Key Predictions: S8 Suppression: The theory predicts a lensing amplitude of S8,UVFT = 0.780 ± 0.023, resolving the current tension between Planck and DES Y3/Y6 data. Dark Energy Equation of State: A slowly rolling scalar field dynamics predicts w₀ = -0.980 and a characteristic positive shift wₐ = +0.100. Matter Power Spectrum Modulations: A periodic oscillation (~ 1%) is predicted at scales of L ≈ 150 Mpc, driven by the vacuum's geometric resonance frequency. The accompanying Python script (uvft_s8_rubin_prediction.py) provides the full numerical derivation, ensuring the transparency and falsifiability of the model.