"Isn't your design for modal dependency a bit too casual?"
"Grandfather, how can it be casual? This leaves room for future expansion. Integers can also extend to P-adic numbers, right? So the structure of modal numbers is the same.
As long as you use specific modal mappings or directly define systems of modal equations, you can maintain the consistency and interpretability of the mathematical structure..."
...
"Isn't your definition of the modal convolution operator too complicated? Show me a specific operation!"
"No, Grandfather, it just looks complicated, but it's actually an extension of the classical convolution. For elements generally satisfying rotational symmetry, the convolution operation doesn't change with location in space.
For instance, in the modal space on a unit circle, you can use polar coordinates with a uniform measure dμ(x, y) = dθ, and the convolution no longer relies on complex multivariable measures.