The Emergence of Time from Physical Existence and Events:

Time is the indefinite, continuous progression of existence and events encompassing the past, present, and future, collectively forming a unified whole. This progression occurs in an irreversible and uniform succession, often conceptualized as the fourth dimension, complementing the three spatial dimensions.

This definition suggests that 'existential events invoke cosmic time,' meaning that:

1. Existence is physical: The tangible reality forms the basis of all that exists.

2. Events are changes in the properties of physical existence: Alterations or transformations in the state of physical entities constitute events.

3. Time is an emergent concept arising from existential events: The perception of time stems from the occurrence and sequencing of events.

4. Both existence and events are necessary for the emergence of time: Without physical entities and their interactions, the concept of time would be meaningless.

5. Events cannot occur without existence: Changes presuppose the presence of entities to undergo transformation.

6. Time would not emerge without existential events: In the absence of events, there would be no framework to perceive or measure time.

Thus, when we utilize a clock, we are effectively invoking cosmic time. We reference the fundamental continuum of existence to justify our measurement of time intervals. The clock serves as a bridge, connecting the abstract concept of cosmic time with the practical act of time measurement.

This perspective aligns with the relational view of time, which posits that time is not an independent entity but is instead a system of relations among events.

Philosophers like Leibniz have argued that time is a construct that arises from the ordering of events, rather than an absolute entity existing independently of the physical world. 

In summary, time emerges from the dynamic interplay of physical existence and events. Our tools for measuring time, such as clocks, are practical manifestations that link this emergent concept to our daily experiences.