There is nothing in the Bible about 'Christ Mass' either, it is based on tradition, as well as Hanukah.
The main difference is that Yeshua celebrated the dedication remembrance but never celebrated his birth.
If John is correct in the Beginning was the Word, his existence did not start at his birth or even his conception so it's a moot point to celebrate it to me.
Doesn't that lower him to a mere human level?
The deepest truths, spiritual truths, Lukav, are paradoxical. Even physicists are now finding this to be the case. Why wouldn't they, since with quantum mechanics, the most successfully-tested of all physical theories, we seem to be approaching the meeting place of the Creator and his Creation.
According to Catholic and Orthodox theology, Jesus was true God and true man, without any commingling of the two natures. The principle and purpose, the point of his Incarnation was precisely to share in our human weakness, to the extent that a sinless human being could. As St Irenaeus put it, He became man so that we might become god(s)[by adoption into the rue Vine, the Mystical Body of Christ, with himself as the head and we, the branches]. 'Know ye not that ye are gods.'
In fact, very occasionally, he did have recourse to his divine knowledge and nature, but only for our sakes. Most of his great miracles, involving the weather, for instance, he kept for his closest disciples, Peter, James and John. But so perverse is human nature, particularly at its most 'fallen', that the implications of his miracles were ignored by some, no matter how extraordinary they were. But perhaps I'm digressing illicitly.