The Kurdish equation for the cosmic cycle
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Description
KMS-Cosmos v8.3: A unified f(R,ρ) gravity theory resolving the Big Bang singularity via quantum bounce at critical density ρc. Derived strictly from action principle S = ∫[R + α₂U(ρ)R²]/2κ² with U(ρ)=tanh(ρ/ρc)exp(-ρ/ρc).
Core result: The KMS Equation v8.3 for curvature perturbations: v_k'' + [c_s²(ρ)k² - z''/z - Δ_NL]v_k = 0, where Δ_NL=0.8 z''/z emerges from third-order action.
Numerical proof: Ghost-free with f_R>0 and 0<c_s²≤1 ∀ρ. Quantum bounce with a_min>0. Predictions: n_s=0.9647±0.003, r=0.008±0.001, f_NL^local=0.82±0.05, all consistent with Planck 2018.
Falsifiable: SPHEREx 2026, DESI 2026, CMB-S4 2032 can test predictions. Any deviation falsifies the theory.
Author: Samer Al-Kurdi, Independent Researcher, Amman, Jordan.
Project: KMS-Cosmos v8.3
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