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continuous field vs quantized field of matter
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continuous field vs quantized field of matter - 02-28-2005, 03:51 PM

general relativity as a modern field theory undoubtedly is based on the concept of continuous matter field. This is analogous to classical fluid mechanics using Eulerian formulation with its dependent variables of velocity. For general relativity, this velocity is a scalar constant popularly known as the speed of light in vacuum. This speed gives an upper limit to all matter flow velocity components. Note that the expansion of physical space is not limited by this speed of light. This speed is an exclusive upper limit for the motion of matter and energy but not for the motion of space.

These velocity components are understood to be motion of matter in or out of a given control volume and believing that this volume is the integration over a closed control surface. But what happens if this volume is not closed with a minimum size hole of a mathematical point? The spatial dimension will be limited to 2 but if the motion is limited to one dimension analogous to earth's rotation along a latitude line then 2 distinct topologies of motion can be formed. Each topology is used to describe a unique local structure of spacetime's continuum. The odd number grouping of these topologies formed matter (fermions) and the even groupings formed energy or force particles (bosons). The odd-even groupings formed a quantized spacetime fabric.
  
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