the connection is visual.
anticrepuscular sun rays do not
actually physically converge. they only appear to converge at the limit of our vision. (yellow highlight)
when we look at the stars in the south (the Celestial South Pole / CSP ), the stars do not
actually physically converge, they only appear to converge.
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In this mockup, the setting sun would appear to be disappearing below the horizon line on the left, casting crepuscular rays over the observer, which appear to converge in the opposite horizon (anticrepuscular) The actual sun is simply moving away from the observer, but it appears to be sinking below the horizon because of perspective.
Likewise, as the actual position of the star (dark purple) in the south rotates closer to the observer, it appears to rise up from the southern horizon in the observer's limit of vision, and then fall back below the horizon as it travels further away. This is only its apparent position from the observer's point of view. ( color pink) Really the star is just rotating out of the observer's limit of vision.
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source video
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That limit is derived from the same geometry that gives us the imagined radius of a globe earth. In reality, nothing is disappearing behind an imaginary "earth curve", it is simply getting so far away that it seems to vanish below the horizon, our limit of vision.
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It is the celestial 'dome' of stars, and our spherical limit of vision that has sphericity. That celestial spherical geometry was erroneously projected onto the shape of the earth.
It's a mathematical inversion of reality. Like if someone were flying in an airplane, and then they used all observations and calculations to deduce that they were physically motionless, and the entire earth was physically rushing past them at hundreds of miles per hour.