The spindle apparatus is not pulling DNA apart, it is synchronizing
In the cell cycle, centrosome duplication and DNA replication are initiated at the same time, and like with DNA, each centrosome receives one old centriole and one new centriole. The duplicate centrosome, as the center of the cell, then begin to replicate the spiraeum, the organelle of microtubule networks that are organized around the reference field that the centrosome provides[1].
The replication of the spiraeum during prophase is followed by synchronization with the genome during metaphase, and when all kinetochores are properly attached and replication is complete, inhibitory proteins that make up a "spindle checkpoint" are silenced, activating separase that breaks down the protein responsible for holding sister chromatids together, and the new daughter chromosomes then orient themselves to the electromagnetic field of each centrosome that they are electrically attached to, and are pulled toward the poles.
The spindle attaches to the chromatids to give them electric charge, the separation is just gravity (i.e., electromagnetism. )