At some point in school one hears this sentence, which sounds almost like a law of nature:

“You must not divide by zero.”

No explanation. No drama. Just forbidden.
Almost like: Do not touch. Do not ask. Move on.

But if one daydreams just a little, this rule begins to flicker.

What does “dividing by zero” actually mean?

If 12 is divided by 3, the question is simple:
How many times does 3 fit into 12?

But with zero… what is that supposed to mean?
How many times does nothing fit into something?

And then comes a strange moment.

The moment this question is taken seriously, zero is no longer pure zero.

Because in order to speak about it, it has to appear somewhere:
as a mark on paper,
as a thought in the mind,
as pixels on a screen.

And exactly here something curious happens.

The “zero” that supposedly stands for nothing suddenly becomes something.

It has ink.
Or energy.
Or a neural trace.

And this is the point where the rabbit hole opens.

If every number always carries at least a tiny physical trace with it, then dividing by zero is not only logically problematic — it is physically paradoxical. Because:

The moment zero is used, it already exists as something.

The question “What is 12 / 0?” already presupposes that there is something to which the question refers. And with that, absolute nothingness has vanished.

Perhaps the real problem is therefore not mathematical, but ontological.

Not:

“The calculation is forbidden.”

But rather:

“You are trying to use something that ceases to be nothing the moment it is used.”

Here is the paper on the topic in a more formal and official version:
Numbers as Dual Entities: A Conceptual Framework for Abstract Values, Physical Instantiations, and Cross-Layer Relativity