The term “Higher-Dimensional Existence” refers to objects and entities that exist in more than the regular 3-dimensional space, with at least one additional dimension. Here is a good illustrative example of that. Likewise, any n-dimensional object can be thought of as being a subset of a real coordinate space of corresponding dimension. Simplifying this case, one could also informally state that the “Dimension” of a space is the exact number of coordinates needed to specify any position within it. In this context, measurements of positions in space are once again obtained by directing oneself at arbitrary numbers contained in the axes of the given expanse, thus obtaining one's own coordinates in it. For example, 2-dimensional space is represented by ℝ^2 (ℝ x ℝ), 3-dimensional space by ℝ^3, and so on and so forth. In this context, adding another dimension to a given space is effectively adding another real number line in a different, perpendicular position, which is mathematically represented by continuous cartesian products of ℝ. Speaking in more rigorous terms, a “dimension” in a system can be most effectively equated to the real number line, which is itself the most basic example of a 1-dimensional coordinate space (commonly denoted as simply as ℝ), and contains bounded subsets (smaller, finite lines if you will) whose exact measurements can be taken by “pointing” at a real number represented as a specific point in the line (Example: A line with length 3 is a subset of the real number line, whose length is infinite) Finally, 3-dimensional beings like ourselves are able to displace themselves left and right and up and down, as well as forwards and backwards, encompassings parts of additional axes of space.įollowing this same principle, a 4-dimensional being would be capable of moving through an additional, perpendicular direction incomprehensible to lower-dimensional beings, and this can be generalized unto any higher number of dimensions. 1-dimensional beings would only be able to dislocate themselves to left and right across a single direction, while 2-dimensional beings would have an additional spatial axis inherent to them, and thus be able to move up and down as well. Speaking in simple terms, a "dimension" can be considered an axis of movement and measurement, through which beings and objects can displace themselves throughout a given physical system. A given object or entity is referred to as being higher-dimensional when they exist as part of a system with a number of coordinates axes greater than our own, or in layman's terms, if they possess more than three dimensions.
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