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The sponge or active charcoal inside a filter is three-dimensional. Their adsorbent surfaces, however, are two-dimensional. Thus, you can see how a tiny high-dimensional structure can contain a huge low-dimensional structure. But at the macroscopic level, this is about the limit of the ability for high-dimensional space to contain low-dimensional space. Because God was stingy, during the big bang He only provided the macroscopic world with three spatial dimensions, plus the dimension of time. But this doesn’t mean that higher dimensions don’t exist. Up to seven additional dimensions are locked within the micro scale, or, more precisely, within the quantum realm. And added to the four dimensions at the macro scale, fundamental particles exist within an eleven-dimensional space-time.” “So what?” “I just want to point out this fact: In the universe, an important mark of a civilization’s technological advancement is its ability to control and make use of micro dimensions. Making use of fundamental particles without taking advantage of the micro dimensions is something that our naked, hairy ancestors already began back when they lit bonfires within caves. Controlling chemical reactions is just manipulating micro particles without regard to the micro dimensions. Of course, this control also progressed from crude to advanced: from bonfires to steam engines, and then generators. Now, the ability for humans to manipulate micro particles at the macro level has reached a peak: We have computers and nanomaterials. But all of that is accomplished without unlocking the many micro dimensions. From the perspective of a more advanced civilization in the universe, bonfires and computers and nanomaterials are not fundamentally different. They all belong to the same level. That’s also why they still think of humans as mere bugs. Unfortunately, I think they’re right.
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