Akila loves to theorize about how the physical world works. She believes there are advanced civilizations on other planets. According to John Holland's six categories of people, she is MOST likely in the category.

Investigative.

Explanation:

John Holland, an American Psychologist developed a theory of career and vocational choices that one makes or tends to make based on their personality trait. There are six categories of people namely Realistic, Investigative, Artistic, Social, Enterprising, and Conventional.

The personality type of Akila in the given scenario is Investigative.

An investigative person has personality traits such as logical, curious, intellectual, independent, etc. They are the thinkers.

The personality trait that can be seen in Akila is that she is a thinker. She loves to theorize about the physical world works. She is curious to know about the advanced civilizations on other planets as well.

So, the correct answer is investigative.