Plato maintained that our body is nothing more than a vehicle for the soul, a sort of biological virtual reality suit. Through philosophy, we could expand our mind and come to the realization that what we perceive as reality is only a shadow of a greater reality. He explained this concept in his work, The Republic, using a simple allegory; the Allegory of the Cave. Plato was speaking about perceiving the fourth dimension and how when you realize this, you can be as powerful as a god, in manifesting anything you truly desire.
The shadows of these objects, project on the wall, but not the shadows of the people carrying them. The chained people see the moving objects and begin to ascribe forms and meaning to them.
When one of them is freed and shown the reality outside the cave, he comes to understand that the shadows on the wall do not reflect reality at all. From this point on, he can perceive the true form of reality (e.g. the true objects) rather than the mere shadows seen by the prisoners.
According to Plato, every prisoner that was freed also had the obligation to return to the cave and help free the other prisoners, although he may be mocked by them and even have to face hostility. This stresses the social responsibility aspect of Self-inquiry and Self-reflection. Some experts maintain that Plato was speaking about perceiving the fourth dimension. Why do these experts think so?
Plato was also very concerned with the study of mathematics and geometry at his academy in Athens.
For example, the five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. The regular polyhedra are three dimensional shapes that maintain a certain level of equality; that is, congruent faces, equal length edges, and equal measure angles.
There is ample evidence that Euclid himself studied at Plato’s Academy before relocating to Alexandria to write his Elements, which was basically a compilation of the then current mathematical knowledge including the discoveries of Pythagoras, Hippocrates, Eudoxus, Theudius, and Theaetetus. Using the knowledge gathered from these various sources, Euclid managed to construct a single unified system which eventually became known as Euclidean Geometry. Clearly, without Euclidean Geometry, there would be no hypercube or "Tesseract" - a representation of the 4th dimension.
Now this is very important to understand; Time is essentially the 4th dimension. Not the LINEAR time (ie in Greek "Chronos") you know through your senses: It is TIMELESS TIME, (ie in Greek "Kairos") where everything is always happening. For example, the moment of your birth & the moment of your death ARE HAPPENING NOW in the 4th dimension. How can we use this knowledge? For example, say you are negotiating a business deal for $1m. You can 'connect' mentally with the 'scene' in the 'future', where you have received these funds in your bank account and being deeply grateful for the success of your project. This will 'activate' this version of the 'future' to happen in this dimension.