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| Newton stated that, "there was no fixed point in the universe." |
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A point, as you know, is only a mathematical concept; it has no dimensions. In essence, a point does not exist in a physical sense, it merely serves as an indicator for a specific, unique location within the universe. I think that every point is fixed in its spatial location for eternity. These points do not move, they cannot move as they are conceptual points and remain forever in their exact relative positions to each another. They are mathematical designations pertaining to a specific location. Only matter can move... and constantly does... from one fixed point/spatial location to another fixed point/spatial location, moment by moment. At every spatial location in the universe, there exists only one or two conditions; either there is mass at that location point at a given moment, or there is no mass at that location/point. Perhaps it could be more properly stated in this fashion, that there exists no mass that remains at any spatial location, over any given interval of time. No motion of any matter in the universe can change or in any way denigrate this fixed point relationship, such as the bending of light or the "curvature of space". Space does not curve even if matter were to show curvilinear motion. This curvilinear motion is a function. It relate to the changes in spatial locations of that function, and is not a moving point tracking. Wherein the curve, like a line, can be considered a continuous set of points. Absolute or fixed point space is analogous to the concept, that a series of dimensionless points can make up a line. Fixed point space contains a set of inter-related, inter-coordinated points, which remain forever in place. Each point would have its own unique coordinate position. These points never move in relation to one another. This does not mean that there is just the one possible fixed point grid. Indeed, any point can be deemed as origin, and has choice of unit distance and orientation. While infinite systems are therefore possible, this does not impact upon fixed points within that system being fixed in relation to all other points in that system. What if, even before we commence a description of our universe, we began with a grid system. Imagine a cube with edges of infinity. The grid is empty for now. Nothing exists but the grid. It is fixed in place and all points within are fixed. All of its locations can be individually assigned a unique (X, Y, Z) coordinate. No curvatures exist. Without matter, no motion exists and consequently, no time exists; just mathematical points and their corresponding physical locations. This physical universe without any mass nor light would have no means to measure time. However, since our universe does have continual changes in the locations of its masses, it therefore inherently has time. Time is a function of change and is not a function of either the speed of light nor the function of the entity of light. Time must be always be associated with some physical change, some physical phenomena. Next to occur in this thought experiment, is to imagine adding in the matter of the universe to the interior of the grid. All of the matter in the universe that exists today, also is the same matter that has originally and eternally existed. No matter has ever been created nor destroyed since then. It only ever changes locations. This argumentation begins when the universe had already existed with its matter. It will not be undertaking any attempt to put forth any personal religious or scientific beliefs as to the creation of the universe. No matter remains at the same fixed spatial location indefinitely. All points remain eternally fixed. You cannot have time without mass, as relative physical motion is required. All mass, at any given instant of time, is at unique spatial location in "fixed point space". No two mass entities could occupy the same spatial location at any given instant of time. Points are never in motion. Mass is always in motion. Fixed point space views the spatial universe as a mathematical grid of mathematical points, forever fixed in their inter-relationship to one another. The spatial universe has physical unit spheres and fixed point space has points. It may be confusing to the reader, in that spheres also exist in the mathematical realm. Math can be applied to physical spheres. That is, spheres may be quantified mathematically. For one, spheres have an isoperimetric quotient. As well, if a sphere is assigned a mass quanta value of 1, then clustering returns added metric information, exposing various types of resultant patterning features. |