Fourth Dimension and Beyond


 We live in a world of three dimensions. It means that the physical objects around us have a basic geometry that includes length, breadth/width and height. We have the ability to perceive the things around us in 3D. We can imagine a world in one dimension where the objects can only move in a straight line. We can also imagine a world in two dimension where the objects can move in two directions and within that plane. No surprise, we are also able to understand and imagine the world of three dimensions, the very 3D world we live in. Now the confusion here are "Is there the fourth dimension? Can a universe of n-dimensions where n is any arbitrary positive number be possible? What would a universe greater than three dimensions look like?"

To answer these questions, let's dig into a basic world of one dimension where any object can move only in a straight line. The objects/organisms in that dimension will have no concept of existence of a plane or a 2D world and hence they would not be able to perceive the world of two dimensions and beyond. The same would apply for two dimensional world and so on. With this, rises next confusion if the different dimensional worlds are entirely different. It is partly true. Let's assume that there are infinitely many straight lines bunched up together. What we would see would be a plane or a sheet. Similarly, if we stack up a bunch of infinitely many planes on top of each other, there would be a formation of a three dimensional object. Thus, we now come to the point that higher dimensions are nothing but a group of infinitely many objects of a lower dimensional world in a correct geometry. By "correct geometry", I mean to say that we cannot form higher dimensional object in any random patterns. For example, if we connect two dimensional object like a sheet of paper side by side, we will not be creating any of the three dimensional object, we will only be increasing the size of the plane of the paper. But if we stack up the sheet of paper one by one to form a pile, we will be creating a 3D object.

With this logic, we now come to a point that the fourth dimension would be a world made of infinitely many 3D world but in a correct geometry which we still are clueless about. Like we can perceive through the world of one dimension and two dimensions, an object of 4D would be able to see through the 3D world too. It would be able to see through objects like human bodies or any other material like it's nothing but natural for it. The same would apply for higher dimensions. Now when we realize that this is godlike and seems impossible, we come to ask if higher dimensions even exist. Well, the mathematics suggests that it actually does and it is one of the few reasons why mathematics is considered "the language of gods" and even if we are able to calculate the tens of thousands of dimensions, we are only solving the components of that dimensional world. We still have no idea about the visualization of higher dimensions.

Some people in this field take "time" as the fourth dimension. We may actually consider "time" a quantifiable component but personally, I don’t feel like it is the fourth component for a world of four dimensions. It is because I feel like we have some sense of flow of time even in the one dimensional world like representing the motion of any object with respect to time. Does this mean I do not believe in the existence of higher dimensions? I do believe in the possibility of existence of higher dimensions. Do I have any idea about how the higher dimensions would look like? Well, if I had even the slightest of the idea about it, I would not be a creature of this three dimensional world!

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