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Article overview
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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 | Abstract: | Understanding 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 | Services: | Forum | Review | PDF | Favorites |
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