Once you accept that imaginary number is not about a straight real number but a number about rotation. And you have two number that is not the same. One about

Once you accept that imaginary number is not about a straight real number but a number about rotation. And you have two number that is not the same. One about straight line and one about rotation I.e. X0 ops X1(another number system ) where X0, X1 is real You can have complex number or a+ bi where i^2 = -1 And you can have split complex number a+bj where j^2 = 1 etc The next move may be then not to q but to try x0 ops x1n1 ops x2n2 ops … xi is all real but ni is a different number system represent things not on the real number. Of course you can do q here. But .. The natural course is to cliff geometry, where it dimension meant something else. Or even more other systems.