Why is the “Fourth Dimensional” representation of a cube a tesseract? If time is a dimension shouldn’t the higher dimensional representation of an object be it’s worldline/timeline?
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Time is a dimension but when people talk about “fourth dimensional” shapes like hypercubes or klein bottles they’re referring to a fourth dimension of space (basically if we had length, width, height, and “another one”).
Any random real-world object is going to be affected by time, but we still think of them as 3D for the same reason.
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