Higher category theory is gaining attention in physics for its potential to provide new mathematical frameworks for complex physical problems, particularly in gauge theory and quantum field theory. The discussion highlights the importance of n-categories in understanding the equivalence of different integration methods over volumes, which is crucial for consistent physical models. Participants express skepticism about the practical applications of higher category theory, emphasizing that without tangible connections to experimental reality, its relevance may be limited. However, there is recognition of ongoing efforts to apply these mathematical concepts in solid-state physics and other fields, suggesting a growing interest in their utility. The conversation underscores the need for clearer connections between advanced mathematics and physical phenomena to gain acceptance among physicists.