We can’t physically see or understand how complex numbers exist or work in our world in a nice way, but we know they do exist. Because we’ve made massive advancements in science and technology off the assumption that they exist and work, and our understanding of many things in the world including stuff as basic as the solutions to quadratic equations would fall apart. By the same token, there are many problems for which vectors and problem spaces of nth degree are used, where n>3, and there’s that whole adage where time is considered a 4th dimension. In that way, we often solve many problems, even rudimentary linear algebra ones, using sets in R⁴, R⁵, etc, and there are many, many invisible forces at work in our world such as gravity. We know how easily our brain can trick us, we still are easily fooled by optical illusions even when we know they’re there and what they are/how they work, despite our visual cortex being the one of the most powerful and most used part of our brain. So the idea of forces and things which we don’t have the capacity to perceive existing in the world is not anything new or foreign. There are frequencies we can’t hear, colors we can’t see, etc which other animals can and do. So why is the concept of n dimensions in the world so widely rejected? There must be a simple reason, I have heard that it has to do with the volume of a gas in a container being proportionate to its dimensionality or something
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There is a lot of physics that you don’t understand. “Frequencies we can’t hear, colors we can’t see” This has nothing to do with dimensions. Physics can explain these things perfectly. Just because you don’t understand something, doesn’t mean it’s wrong or supposed to be looked at with skepticism.
Complex numbers are a catalyst in mathematics. They show the results to equations for electronics. It’s in no way an argument for weird unknown things like more spatial dimensions existing.
We can perceive three spatial dimensions. There are NO experiments that prove any more spatial dimensions exist.
String theory mathematics works out if there are 10 spatial dimensions. This doesn’t prove that there are more spatial dimensions, and string theory isn’t proven either.
So right now we have no evidence to believe there are more spatial dimensions, and we can only ever perceive three, so it’s like the flying spaghetti monster: There’s no reason to believe it or not believe it, it’s an arbitrary idea with no backing.
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