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19 April 2024
 
  » arxiv » 1509.6707

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A brief study of time
James M.Chappell ; John G.Hartnett ; Azhar Iqbal ; Nicolangelo Iannella ; Derek Abbott ;
Date 12 Sep 2015
AbstractUnderstanding the nature of time has become one of the key unsolved problems in science. Newton in his Principia proposed an absolute universal time that ’flows equably without relation to anything external’. Hamilton also proposed a representation of time within the mathematical framework of the quaternions before the Minkowski space-time unification in 1908 using four-vectors. This framework is found to provide a versatile mathematical framework for relativistic physics, which replaces Newtonian concepts of absolute time, but nevertheless the framework has not been convincingly derived from first principles and so fails to provide deeper physical insight into the nature of space and time. We approach this question regarding the proper definition of time with the algebraic description of three-dimensional space provided by the Clifford multivector. This then allows us to provide a definition of time that is effectively based on the geometrical properties of three-dimensional space. This new approach indicates that the correct topology of time is not linear as implied by the Minkowski description but rather has the topology of a point. This description then allows us to approach several long standing questions regarding the nature of time.
Source arXiv, 1509.6707
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