The concept of the arrow of time and its meaning in a probabilistic universe is a subject of ongoing philosophical and scientific debate. In physics, the arrow of time refers to the distinction between the past and the future, or the asymmetry of time. It is closely related to the second law of thermodynamics, which states that entropy (a measure of disorder) tends to increase over time.
In a probabilistic universe, where events are governed by probabilities rather than strict determinism, the arrow of time can still be meaningful. While individual events may be uncertain, the statistical behavior of large ensembles of events can still exhibit a directionality in time. For example, even though we cannot predict the exact path of a single molecule in a gas, we can still observe that, on average, gas tends to disperse and mix rather than spontaneously separating into concentrated regions.
Regarding the notion of a "chronospatial melody" or a "divine symphony" where the past, present, and future are refrains in an eternal composition, that enters the realm of metaphysics and personal interpretation. It is a poetic way of contemplating the nature of time and its relationship to a grander cosmic framework. Different philosophical and religious traditions offer diverse perspectives on the nature of time, and whether it is linear, cyclical, or exists outside of our usual understanding.
Ultimately, the meaning of the arrow of time and the nature of time itself are philosophical questions that continue to inspire deep contemplation and debate, and there is no definitive answer that can be provided by current scientific knowledge alone.