First light along the horizon is not the Sun making an entrance but Earth quietly rotating into position. That daily glow is a geometry problem, not a celestial performance. As the planet spins on its axis, your location turns from the dark side into the beam of sunlight already flooding space.
In physics terms, sunrise is a shift in reference frame. The Sun, Earth and you form a moving system defined by orbital mechanics and angular velocity. Because your senses sit on a spinning sphere, the fixed star appears to rise. The effect resembles watching a stationary building seem to drift when your train pulls out of the station.
Atmospheric refraction further complicates intuition. Light from the Sun bends through layers of air with different densities, so you see the solar disk before the planet has fully rotated it above the geometric horizon. You get color as well as timing: shorter blue wavelengths scatter through Rayleigh scattering, letting reds and oranges dominate low in the sky.
The language stays anyway. Calling it sunrise is a linguistic fossil of a geocentric era, a reminder that everyday experience and inertial frames do not always align, even while the light pouring over the horizon feels exactly the same.