κ-Theory: History-Dependent Gravity and Nonlinear Structure Formation

his work introduces κ-Theory, a nonlinear extension to gravitational dynamics in which collapse behavior depends not only on local energy density but on the structural intensity of its formation. The κ-term introduces a history-weighted correction proportional to density gradients, modifying collapse pathways in high-energy environments such as early-universe structure formation. Simulations demonstrate accelerated convergence relative to standard General Relativity, suggesting that overlapping density gradients bias structure formation before full separation. The framework implies a memory-dependent universe in which formation history affects present evolution without permitting causal reversal. Testable predictions, simulation boundaries, and cosmological implications are defined.