Can the speed of information dissemination exceed the speed of light?

In the double-slit interference experiment with light, once one of the slits is instantaneously closed, the point H on the screen directly opposite the other slit will experience a change in the intensity of light at that point. Moreover, the time it takes for the intensity of light at point H to change after the slit is closed is shorter than the time it takes for light from the slit to reach point H. This indicates that information is transmitted from the slit to point H on the screen at a speed faster than the speed of light c. This does not violate Relativity, as it does not conflict with the Principle of Constancy of Light Velocity. The transmission speed of information within a wave packet of photons is not solely determined by the Principle of Constancy of Light Velocity. Information is transmitted at varying speeds within the wave packet. In the direction parallel to the propagation of the photons, the speed of information transmission matches c. However, in other directions, the speed of information transmission can exceed c.