Authors: Carlton Frederick
A stochastic model is presented for the Planck-scale nature of space-time. From it, many features of quantum mechanics and relativity are derived. As mathematical points have no extent, the stochastic manifold cannot be tessellated with points and so a granular model is required. For Lorentz invariance, the grains cannot have constant dimensions but instead, constant volumes. We treat both space and time stochastically and thus require a new interpretation of time to prevent an object being in multiple places at the same time. As the grains do have a definite volume, a mechanism is required to create and annihilate grains (without leaving gaps in space-time) as the universe, or parts thereof, expands or contracts. A 'rolled-up' fifth dimension provides the mechanism. As this is a 'root' model, it attempts to explicate phenomena usually taken for granted, such as gravity and the nature of time.
Comments: 27 Pages.
[v1] 2019-05-13 17:12:38
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