What specific physical feature is the celestial equator a direct projection of?
Answer
The Earth's physical equator.
The celestial equator is established as the single most important great circle in the sky-based coordinate system because it is the direct geometrical projection of our planet’s physical equator onto the celestial sphere. Since the Earth's equator is a great circle passing through the Earth's center, its projection inherits this quality, meaning the celestial equator must also be a great circle. This circle effectively slices the celestial sphere into northern and southern celestial hemispheres and serves as the baseline reference where celestial declination, the sky's analogue to latitude, measures exactly zero degrees.

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