-1, Imaginary Numbers, and Śūnyatā: Speaking of Vibration Before Existence

We often treat mathematics as a mere tool for calculation or numerical logic, but embedded within it is a profound philosophy of existence. Among mathematical ideas, the concept of the imaginary number "i" stands as one of the most mysterious. Though it appears to lack any physical reality, it is one of the most precise languages for describing the structure of the physical world. This essay seeks to explore how mathematical concepts like -1 and the imaginary unit i intersect with the Buddhist teaching of "form is emptiness, and emptiness is form (色即是空 空即是色)," unfolding a vision of reality, possibility, and vibrational being. 1. Does -1 Truly Exist? "Have you ever seen -1 apple?" This simple question provokes deep thought. Physically, -1 does not exist. How can something be taken away when there is nothing to begin with? And yet, in daily life, we frequently use the concept of -1—overdrafts, debt, and loss all hinge on it. We intuitively grasp natural num...