**Core Concept**
Basal ganglia calcification refers to the deposition of calcium salts within the basal ganglia, a group of subcortical structures involved in movement control and cognition. This phenomenon can be associated with various neurological disorders, including hypoparathyroidism, stroke, and neurodegenerative diseases.

**Why the Correct Answer is Right**
Basal ganglia calcification is a common feature of Fahr's disease, a rare genetic disorder characterized by progressive calcification of the basal ganglia. It is also seen in hypoparathyroidism, where low levels of parathyroid hormone lead to elevated calcium levels in the blood, which can deposit in brain tissue. Additionally, basal ganglia calcification can occur in the context of neurodegenerative diseases like Huntington's disease and in some cases of cerebral amyloid angiopathy.

**Why Each Wrong Option is Incorrect**
**Option A:** Fahr's disease is actually associated with basal ganglia calcification, so this option is incorrect.
**Option B:** Hypoparathyroidism is indeed a cause of basal ganglia calcification, making this option incorrect as well.
**Option C:** Cerebral amyloid angiopathy is a condition where amyloid beta deposits in the blood vessels of the brain, which can lead to basal ganglia calcification, so this option is also incorrect.

**Clinical Pearl / High-Yield Fact**
Basal ganglia calcification can be a marker of underlying neurological disease, and its presence should prompt further investigation to identify the underlying cause.

**Correct Answer: D.**