We present the complete v2 extension of the Fractal Dynamic Theory of Everything (TOEFD), a framework built on a single closed string of Planck-scale radius oscillating at f₀ = c/lP ≈ 1.855×10⁴³ Hz. The theory derives the full structure of spacetime, particle physics, and cosmology from four equations with no free parameters beyond {G, c, ℏ, kB, lP}. New in v2: Quantization via a closed Lagrangian yields two fundamental quanta — the dressed graviton and the entropon, a Planck-mass scalar. The cross-commutator [Φ̂, χ̂] ≠ 0 is a new fundamental prediction establishing that gravity and entropy are not independent quantum observables. The entropon is identified as an ultra-cold CDM dark matter candidate produced by a gravitational FIMP mechanism, with cross-section σ ~ lP⁴ ~ 10⁻¹⁴⁰ m² — consistent with all null detection results. The cosmological constant is suppressed dynamically as Λ(t) = ΛP·exp(−4S(t)/kB), resolving the 122-order fine-tuning problem without adjustment. Inflation is replaced by entropic expansion, reproducing ns ≈ 0.965 and predicting r ≈ 0.002 — testable by LiteBIRD (2032). The Higgs field is identified with the entropon condensate, and Yukawa couplings are derived as yf(n,k) = 4GkBℏ/(c·v²·lP)·Fn·10⁻⁵ᵏ from the Fibonacci fractal structure. Three fermion generations are predicted from first principles via log₁₀₅(mP/vEW) = 3.34. Two-loop RGE running from mP to LHC scale reproduces top (1.5%), bottom (6%), charm (9%), tau (5%) and muon (7%) masses without free parameters.