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Rotation is meaningless without an external reference frame to compare against. Consider that right now the planet (and your body) is rotating at ~1000km/h but to us it feels stationary. We only know the planet rotates because we observe effects like the sun,moon,stars rotate around us (which ancient peoples misunderstood as earth-centerism thinking everything rotates around us)
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Rotation mathematically requires a center axis to rotate around. There is no true center to our observable universe, only subjective perspective reference frames. wherever you are is the center from your perspective. So there is no definitive geometric center axis of our universe to rotate around.
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