* Distance: Sirius is about 8.6 light-years away from Earth, while the Sun is a mere 8.3 light-minutes away. This massive distance difference means that the light from Sirius has to travel much further to reach us, resulting in a significant decrease in its apparent brightness.
* Inverse Square Law: The intensity of light decreases with the square of the distance. This means that if you double the distance from a light source, the light intensity is reduced to one-fourth. Since Sirius is much further away than the Sun, its light intensity drops dramatically by the time it reaches Earth.
* Our Atmosphere: Earth's atmosphere scatters and absorbs some of the light from stars, especially in the blue and violet wavelengths. This effect is more pronounced for stars that are lower in the sky, like Sirius.
In essence: While Sirius is a brighter star in terms of absolute luminosity, its vast distance and the effects of our atmosphere make it appear significantly dimmer than our own Sun.