The Arrow of Time in Music -- Revisiting the Temporal Structure of Music with Distinguishability and Unique Orientability as the Anchor Point

Driven by the term "the arrow of time" as a general topic, the article develops a musical discussion by referring to the etymological origin of the term: philosophy (epistemology) and physics (thermodynamics). In particular, the article explores two specific conditions: distinguishability and unique orientability, from which the article derives respective musical propositions and case studies. For the distinguishability condition, the article focuses on the "recurrence" in music and tries to interpret Bach's Christmas Oratorio from the perspective of "birth/resurrection". For the unique orientability condition, the article discusses the process of delaying the climax, thereby proposing "AB-AAB left-replication" model, implying an organicist view by treating the temporal structure of music (e.g. form) as the product of a dynamic process: organic growth.