What are hallucinary numbers?

In high school, you learn that the square root of a negative number does not exist. However, if you choose to study a field within STEM (Science, Technology, Engineering, or Mathematics), you will suddenly encounter the fascinating world of imaginary and complex numbers. Despite this expansion of knowledge, I and some of my fellow students in theoretical physics found it still somewhat limited, leading us to conceive the concept of hallucinary numbers. Together, we developed this intriguing concept, and to delve deeper into it, feel free to explore the link below.

Here is a link to hallucinary numbers.