There are several synonyms for the phrase "turning inward," which is often used to describe introspection or a focus on one's inner thoughts and emotions. One option is "reflection," which can imply a more deliberate process of considering past experiences and feelings. Another option is "introspection," which specifically refers to looking inward and examining one's own thoughts and emotions. "Soul-searching" is a colloquial term for a similar process, often used to describe a more intense or prolonged period of introspection. Other possible synonyms include "self-examination," "self-reflection," and "meditation." Ultimately, the choice of synonym depends on the context and tone of the piece of writing.