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A Combinatorial Model of Physics

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We present a model of physics rooted in discrete mathematics that implies the correct equations for time-dilation, gravity, charge, magnetism, and is consistent with the fundamentals of quantum mechanics. We show that the model presented herein is consistent with all experiments, of which we are aware, that test the Theory of Relativity, and propose experiments that would allow for the model presented herein to be distinguished from the Theory of Relativity. However, the differences between equations implied by the Theory of Relativity and the model presented herein are so small, that they are beyond the error of any experiments of which we are aware. Moreover, unlike the Theory of Relativity, the model presented herein makes use of objective time, but nonetheless implies time-dilation will occur, as a local phenomenon, with the rate at which a system progresses through its states determined by the ratio between its kinetic energy to its total energy. Finally, unlike the Theory of Relativity, the model presented herein follows deductively from assumptions about the mechanics of elementary particles, and is not rooted in any assumptions about the nature of time itself.
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DOI:https://doi.org/10.1103/PhysRev.7.355
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