Primary Falsifiable Prediction of the CCEGA Framework: Corrected Radion Excitation Analysis, Detection Window, and Physical Interpretation

The Curvature-Controlled Extra-Dimensional Gravity and Emergent Unification (CCEGA) framework produces a two-dimensional gravitational-wave discriminant consisting of post-merger echo delays and radion-induced frequency sidebands. A previous analysis assumed a uniform radion excitation amplitude δρc/ρc ~ 10⁻³ across the full mass window m_φ ∈ 10⁻¹³, 10⁻¹¹ eV. Here we derive the excitation amplitude from first principles using a driven harmonic oscillator model with bulk overlap suppression. The analysis identifies three dynamical regimes governed by the dimensionless ratio μ ≡ m_φ Rₛ/ (ℏc): quasi-static (μ ≪ 1), resonant (μ ~ 1), and oscillatory (μ ≫ 1). The detectable sideband window is restricted to m_φ ∈ 10⁻¹², 10⁻¹¹ eV, corresponding to Δfᵣad ∈ 240, 2400 Hz. The corrected prediction remains unique to CCEGA and retains full discriminant power through the functional correlation between τₑcho and Δfᵣad. We further discuss the physical interpretation of a potential validation: the simultaneous confirmation of echo delay, frequency sidebands, and their geometric correlation would constitute evidence that spacetime singularities are regulated by extra-dimensional geometry, that the hierarchy problem has a classical geometric solution, and that dark energy arises from the modulus stabilisation potential without fine-tuning. This would represent the unification of four open problems in fundamental physics under a single geometric mechanism.