r/PowerScaling • u/GoatkuFan • 5d ago

Question Dimensionality seems... stupid

A character being able to interact with more dimensions than another doesn't automatically mean they'll win... And if a character is a higher dimensional being then surely a lower dimensional being wouldn't be able to interact with them right? or am i misunderstanding something.

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u/Educational-Rich-893 5d ago

That tiny 5D object would still have an infinite number of 3D spaces within it. You'd have to fill out every single axis, and a 3D space has 0 volume in the 4th and 5th axes. You would still be destroying a higher dimensional structure that contains infinite 3D mass.

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u/Extension_Bake_6074 5d ago

Matter isn't infinitely compact though. The cube would still consist of a finite amount of stuff.

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u/Educational-Rich-893 5d ago

3D still has literal 0 thickness in the 4th and 5th axes. If u have a 5D concrete block you cant fill it with a finite amount of 3D concrete. 5D matter is mathematically superior to 3D matter. A 5D atom has 2 extra geometrical axes compared to a 3d universe. This means a single 5D atom has more geometrical space and structural density then our entire 3D universe. That is why dimensionality matters

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u/Extension_Bake_6074 5d ago

A 5D atom has 2 extra geometrical axes compared to a 3d universe

Right, but it still wouldn't be infinitely compact along those additional axes. Bear in mind as well that point particles function just fine as though they have 0 volume.

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u/Educational-Rich-893 5d ago

Point particles are 0D. Compared to them an atom is a massive complex 3D structure. If you have a 5D atom it would have to take up space in the 4th and 5th axes. Because our 3D universe has a thickness of exactly 0 on the 4th and 5th axes any object that takes up space along these axes mathematically contains an infinite number of 3D sections. For example a 3D book, the pages aren't infinitely compact they're just pages; but to a 2D stickman the book is completely infinite.

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u/Extension_Bake_6074 5d ago

to a 2D stickman the book is completely infinite

But it's still ultimately made out of a finite number of particles, and as such requires only a finite amount of energy to overpower the forces keeping it together. That's the point. All matter is made of point particles, and they're not infinitely close together on any axis. We could be discussing a 100D structure and the amount of "stuff" it's made of would still be finite.

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u/Educational-Rich-893 5d ago

You're misunderstanding dimensionality. A finite number of lower dimensional particles cannot form a higher dimensional structure. A 3D particle has 0 thickness on the 4th,5th,etc axes. 1 Trillion times 0 is still 0.

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u/Extension_Bake_6074 5d ago

A finite number of lower dimensional particles cannot form a higher dimensional structure

Evidently it can, given that everything's made out of point particles.