A 65-year-old patient presents to the emergency department with a sudden onset of severe, unrelenting pain in the left lower extremity. The patient describes the pain as sharp and reports no previous history of trauma or injury to the area. Physical examination reveals a cool to touch, pallid left foot with absent pulses. Based on the clinical presentation, what is the MOST likely diagnosis?
Chronic arterial insufficiency
Chronic venous insufficiency
Acute arterial occlusion
Deep vein thrombosis (DVT)