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Dimensional Shadows Question

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I've heard of the theory that states that object in a given dimension cast shadows of the dimension below them. Like how we cast two-dimensional shadows, and so on. But I'm having trouble understanding how it works.

 

For instance, since we exist in time, we'd be fourth dimensional objects. And since shadows also have an area of displaced light between the visible shadow and the object casting the shadow, wouldn't they be three-dimensional?

 

If someone could explain this to me in an understandable way, I'd appreciate it.

 

Edit: Sorry, posted this in the wrong forum.

Uh, are you sure this theory actually exists?

 

What would be casting the "light" to cast a 3 dimensional shadow, or any shadow other than the one we observe? I have never heard of anything like this before.

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