- There's already infinitesimal slices through us, most of our bodies are empty, because atoms are very empty.
- Those slices are extraordinarily unlikely to go down the middle of such a character, and are far more likely to just slice off a finger or something.
- This argument only works for beings one dimension above, once you get higher you're effectively creating an infinitely thin tube within them, or a new empty point within them, which are clearly meaningless.
If we are going to take subatomic particles into the conversation, I think it changes things a lot.
For one, the spaces inside atoms, while extremely minute, wouldn’t be infinitesimal. But before we even talk about, how does the wiki view atoms and subatomic particles in terms of higher dimensions?
The whole, “nD objects are made of uncountably infinite n-1D objects” comes into question. A can of soda is made of a finite amount of atoms, which are made of a finite amount of subatomic particles which are made of an indefinite* but finite number of particles which are fundamental.
*(particles pop in and out of existsnce but the average still remains)
These fundamental particles are widely considered to be 0D, simply points. They are also considered to be 3D cloud where the actual particle is somewhere at a given chance. But the most important takeaway is that these particles cannot be broken down any further, are not made of anything, and cannot be taken apart.
If you slice that soda can into 2D slices, are there enough particles to make an uncountably infinite amount of slices of that 2D can? Current physics says no.
Further more, 2D objects can have mass. This mass is the same mass that 3D objects have. Since 3D objects do not have infinite mass. They are not made of uncountably infinite 2D slices. Of course the 2D objects and slices would be 2D lattices of matter. Would those count as actually 2D in regards to the wiki?
The same thing would apply for higher Dimensional beings. They would only be made of a finite number of particles spread out in higher Dimensional space. If you were to only affect a cross section, it wouldn’t necessarily be an infinitesimal slice. It would be a quantifiable finite portion.
So I would ask, now that ontological differences is removed for higher dimensional beings, are these resistances even that pronounced if you take in atomic structure?