**Core Concept**
Recurrent pancreatitis without obvious pathology is often associated with hypertriglyceridemia, where elevated triglycerides in the blood lead to pancreatitis due to the activation of pancreatic enzymes and the release of toxic substances.

**Why the Correct Answer is Right**
Hypertriglyceridemia can cause recurrent pancreatitis due to the activation of pancreatic enzymes, particularly lipase, which is responsible for breaking down triglycerides. When triglyceride levels are extremely high, lipase is overactivated, leading to the breakdown of triglycerides into toxic substances that can cause pancreatitis. This condition is often referred to as pancreatic lipase-mediated pancreatitis.

**Why Each Wrong Option is Incorrect**
**Option A:** Hypercalcemia is a known cause of pancreatitis, but it is not typically associated with recurrent pancreatitis without obvious pathology. Hypercalcemia can cause pancreatitis by activating pancreatic enzymes and causing inflammation in the pancreas.
**Option B:** Gallstones are a common cause of pancreatitis, but they are often associated with obvious pathology, such as inflammation or scarring in the pancreas. Gallstones can cause pancreatitis by obstructing the pancreatic duct and causing inflammation in the pancreas.
**Option C:** Alcohol abuse is a common cause of pancreatitis, but it is often associated with obvious pathology, such as inflammation or scarring in the pancreas. Alcohol abuse can cause pancreatitis by causing inflammation in the pancreas and damaging pancreatic tissue.

**Clinical Pearl / High-Yield Fact**
Recurrent pancreatitis without obvious pathology is often associated with hypertriglyceridemia, and it is essential to check triglyceride levels in patients with recurrent pancreatitis to rule out this condition.

**Correct Answer: A. Hypertriglyceridemia.**