Emptiness is not only an elusive reality, it is much as well an elusive imagination. When we imagine emptiness, nothingness, we imagine 'something' that represents emptiness and nothingness. The best that we can do is persistently remove identifiable substance from some area -- physically or in our imagination. In either realm, perfect emptiness is beyond reach. Being 'something' space shares a conceptual nest with the generic notion of matter which is also 'something'. This simple notion suggests the idea that space is a 'diluted' matter.
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Until Einstein such a connection between space and matter would have been thoroughly unacceptable, space being the stable straight framework where matter is placed and where it moves. Maxwell equations hid an cross-influential connection between space and matter, but it laid dormant until Einstein solved the Newtonian riddle of gravity by describing a variable curvature of the space in which matter resides. John Wheeler summarized it succinctly: “Space-time tells matter how to move; matter tells space-time how to curve.”
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The substance that curves and the substance that moves may be described mathematically as a single entity in two expressions.
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The next conceptual leap is to suggest that matter may transform into space and space may transform into matter. To describe such a transformation one may use the Geometry of Distances. This geometry is defined through 0.5n(n-1) rational distances between n points, where a point is defined only by its distance to the other (n-1) points. These points are described as elemental material entities.
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Material entity in an n points space is represented through m points that share the same distances to the other (n-m) points in the space. These m point are indistinguishable one from the other, excepts through the 0.5m(m-1) distances among the m points group..
Accordingly, space can vanish and become material -- some p points change some of their distances so that they share the same distances to the external (n-m-p) points and thereby increase the mass of the point by +p while the space territory expressed by these vanishing p points is disappearing. Changes in the opposite direction reduce material count and increase space territory.
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Energy is described as the driving force behind changing distance values in the space, where such changes are measured versus a universal time.
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Einstein's idea to abolish the notion of a universal time, t, and describe observations with space-time and curvatures, can be replaced by using the unbound geometry where all distances dij(t) between points i and j in the space are unbound by any of the other distances in the space. This independence of the dynamics of all the distances of the space allows one to reclaim the mathematical and conceptual convenience of an absolute time. Einstein’s space view and the geometry of unbound distances space view are mathematically equivalent.
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Current models of reality: cosmology, the standard quantum model, and also super-symmetry can be described as a set of limitations levied on the unbound distances geometry.
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New insight and powerful engineering arrangements are being investigated.
The mathematical foundation for this proposition is under development.
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