Ancestry-Driven Expansion in SDEF : Acceleration Without a Cosmological Constant

This work presents a formulation of cosmic expansion within the Scalar Drag Emergence Framework (SDEF), in which acceleration arises from internal dynamical processes rather than a constant background energy. The model is based on gradient-driven dynamics with a two-stage activation: gradients generate coherence, and sustained coherence accumulates as ancestry. Ancestry acts as a history-integrated quantity that biases transport and induces large-scale divergence. A dimensionless ancestry control ratio (Ra) is introduced to quantify the balance between ancestry-driven and gradient-driven dynamics. Under expansion, gradients decay while ancestry retains accumulated influence, leading to a natural transition from decelerating to accelerating behavior. An effective equation-of-state parameter (wₑff) is derived as a function of Ra. The system asymptotically approaches wₑff ≈ −1 without invoking a cosmological constant, reproducing Lambda-like expansion behavior through evolving internal dynamics. The formulation is consistent with SDEF principles of parameter conservation, domain specificity, and boundedness. Acceleration is interpreted as a consequence of relative dynamical dominance rather than the presence of a non-diluting component. This work provides a minimal, self-consistent mechanism for accelerated expansion and establishes a structural alternative to constant-energy cosmological models.