To the best of my knowledge, the double-slit experiment has not been conducted with delays of days or weeks between the release of individual photons. However, the basic principles of the experiment suggest that even with such delays, if the experiment were to be conducted, it would still exhibit an interference pattern.
The double-slit experiment is a fundamental experiment in quantum mechanics that demonstrates the wave-particle duality of particles, such as electrons or photons. In the traditional setup, a stream of particles is released one by one, and they pass through two slits before reaching a screen. When the particles are not observed or detected before hitting the screen, they form an interference pattern of light and dark bands, indicating wave-like behavior.
The interference pattern arises from the superposition of the wave functions associated with each slit. Each particle simultaneously passes through both slits and interferes with itself, leading to the characteristic pattern on the screen. This interference pattern emerges even when the particles are released one by one, indicating that each particle exhibits wave-like behavior.
The delayed release of individual photons in the double-slit experiment, if conducted, would not significantly alter the underlying principles of the experiment. The delayed release would simply introduce a time gap between the passage of individual photons through the slits. However, since each photon still has a wave function associated with it, the interference pattern would likely still emerge when a sufficient number of photons are accumulated on the screen.
The statement "unperformed experiments have no results" is a principle in quantum mechanics that emphasizes the importance of making actual measurements to obtain observable results. Until an experiment is conducted and measurements are made, one cannot definitively determine the outcome. However, based on the well-established principles of quantum mechanics and the previous results of the double-slit experiment, it is reasonable to expect that even with delays between photon releases, an interference pattern would still be observed.