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My approach to understanding reality deviates from the conventional, Euclidean perception of three independent spatial dimensions. For me, the very essence of reality is inherently four-dimensional, not as an abstract coordinate system, but as a fundamental, irreducible characteristic of existence itself, defined by Synergetics.
The tetrahedron serves as the primary example of this integrated, inherently four-dimensional thinking, a building block for understanding the entire energetic, ever-transforming Universe.
I have always found the familiar x, y, and z axes, coupled with a separate "t" for time, to be an inadequate and even misleading framework. This traditional geometric thinking is "strictly imaginary, awkward, and unrealistic" when compared to nature's true coordinate system, as I outlined in Synergetics: Explorations in the Geometry of Thinking. It implies a static, fixed "space" rather than the dynamic, energetic universe we inhabit.
Instead, I propose that the tetrahedron is the most elementary and stable structural system in the Universe, and it embodies this fundamental four-dimensionality. A tetrahedron, with its four vertices, four faces, and six edges, is the minimum volumetric enclosure. It cannot be collapsed; it inherently defines an "inside" and an "outside." This means that any event or structural integrity immediately implies four fundamental relationships, four "points" or "events" that establish a system. This is why I often preferred to speak of a "four-dimensional tetrahedron" rather than simply a three-dimensional one existing in a separate "time" dimension.
The four independent vectors emanating from a common center that define the tetrahedron, represent the minimal, stable configuration of energy events. Each of these vectors is interdependent with the others, rather than perpendicular and isolated. This is nature's most economical way of organizing relationships.
Time is not a fourth orthogonal axis added to three spatial ones. Time is a qualitative dimension, profoundly integrated and permeating all space and all experience. It is the very essence of transformation and event. Reality, after all, is the "aggregate of all humanity's consciously apprehended and communicated nonsimultaneous and only partially overlapping experiences," underscoring the dynamic, time-bound nature of our perception and interaction with the Universe.