**Core Concept**
Acute intermittent porphyria and Addison's disease are both metabolic disorders that can cause chronic or recurrent abdominal pain due to the accumulation of toxic intermediates or hormones. Hypercalcemia, on the other hand, typically presents with symptoms like bone pain, nephrolithiasis, and neuropsychiatric symptoms, rather than abdominal pain.

**Why the Correct Answer is Right**
Hyperkalemia is not typically associated with abdominal pain. The primary symptoms of hyperkalemia include muscle weakness, cardiac arrhythmias, and respiratory paralysis, which are not related to abdominal pain. In contrast, acute intermittent porphyria and Addison's disease both involve the accumulation of toxic metabolites that can cause abdominal pain.

**Why Each Wrong Option is Incorrect**
**Option A:** Acute intermittent porphyria is a metabolic disorder that can cause chronic or recurrent abdominal pain due to the accumulation of toxic intermediates in the heme biosynthetic pathway.

**Option B:** Addison's disease is a rare endocrine disorder that can cause chronic or recurrent abdominal pain due to the deficiency of cortisol and aldosterone.

**Option C:** Hypercalcemia is a condition characterized by elevated calcium levels in the blood, which can cause abdominal pain, but it is not the primary symptom.

**Clinical Pearl / High-Yield Fact**
Remember that chronic or recurrent abdominal pain can be a symptom of various metabolic disorders, including porphyrias and Addison's disease. Always consider these conditions in the differential diagnosis of patients with abdominal pain.

**✓ Correct Answer: D. Hyperkalemia**