The traditional double-slit experiment primarily involves the interference of waves, such as light or matter waves. However, if you are referring to a variant of the experiment that utilizes the concept of time, there is a phenomenon known as the "time-delayed double-slit experiment" that explores interference patterns based on time.
In the time-delayed double-slit experiment, instead of using spatial interference, the interference occurs due to the time delay between two successive events. This experiment involves the interference of particles or signals that arrive at a detector with a time delay between them.
One example of this experiment is the delayed choice quantum eraser experiment. In this setup, a particle, such as a photon, is sent through a double-slit apparatus. The photon's behavior can be observed as a particle or a wave, depending on how the experimental setup is configured.
What makes the delayed choice quantum eraser experiment intriguing is that the decision to measure or observe the photon's wave-like behavior (interference) or particle-like behavior (which slit the photon goes through) can be made after the photon has already passed through the double slits. This choice affects the subsequent interference pattern or lack thereof.
The time-delayed double-slit experiment challenges our intuitive notions of cause and effect because the observation or measurement made after the photon has already passed through the slits appears to retroactively determine its behavior.
In summary, while the traditional double-slit experiment primarily involves spatial interference patterns, variants of the experiment, such as the time-delayed double-slit experiment, introduce the element of time and explore the interference patterns resulting from time delays between successive events.