Perhaps your confusion stems from your definition of the word compassion which has nothing to do with identification, but everything to do with empathy.<quoted text>
Strange question. Science is the method we use to learn about how the universe works. Compassion is the feeling of identification we have to another intelligent being. So the question makes no sense to me. Now, compassion *is* a brain state and so is based on a physical process, if that was your issue/.
I have discussed the nature of consciousness at length. Since science cannot locate the seat of thought and feeling in the brain, it cannot assume that emotion is a physical process.