Singularity Avoidance in Cosmological Scalar Fields: A 2D Quantum Bounce Model using the AMDCF-CSD Unified Kernel

The initial singularity of the Big Bang remains a critical breakdown point in General Relativity (GR), where energy density diverges to infinity. In this work, we propose a phenomenological reduced-order model for singularity avoidance based on the Adaptive Memory-Driven Coupling Framework (AMDCF) coupled with Critical Slowing Down (CSD) early-warning detection. By simulating a 2D cosmological scalar field expansion, we demonstrate that the AMDCF safety valve acts as a quantum bounce regulator. The CSD module successfully detects pre-singularity variance spikes, dynamically triggering a bounded memory feedback (quantum correction term) that caps the maximum energy density. Consequently, instead of a mathematical singularity, the field undergoes a smooth bounce, resulting in a stable, expanding wavefront and a dual-peak centerline profile. This work provides a novel computational analogue for Loop Quantum Cosmology (LQC) and demonstrates the AMDCF kernel's capability at extreme physical limits.