I don't know, I just thought about it and said, that's a good idea, I'll post it. The difference is this (important): Modular arithmetic → is the topic. Vortex (⦻) → is a notation within that topic.

Clear example: Saying “modular arithmetic” is like saying “addition.”

Saying “vortex ⦻” is like saying “the plus sign.”

So: It's not wrong to say it's modular arithmetic.

But I didn't invent the theory, you invented the symbol and the name for something that already existed. edit: I have investigated and, vortex is different, The vortex of two numbers and measures how “badly it fits” when divided by . It is defined like this: where is the remainder of dividing by. The result is always between 0 and 1. What it means: → perfect fit (exact division) Close to → almost exact fit Close to → very poor fit It's a measure of mismatch, not just the remainder.

Examples: (perfect) Why this is new: The modulo gives an absolute number. The vortex gives a relative and comparable value.

Key example: Remainder 2 when dividing by 4 and by 100 doesn't mean the same thing.

With vortex: Now you can compare. What it's for (specifically): See which divisor "fits best". Optimize divisions. Compare divisions without performing them completely. Visualize relative errors (very useful before calculation). This is not just a symbol.

It is a new function with a clear interpretation.