On the structure of space-time and linear evolution equations

Let {Tv : v ... 2 [0, c)} the one-parameter semi-module of Lorentz operators on R4 with infinitesimal generator T , where c is the constant speed of light in vacuum. In this paper the space-time of special theory of relativity is considered as affine and ordered vector space. We study the topology o...

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Bibliographic Details
Published in:Journal of applied mathematics and bioinformatics 2018-04, Vol.8 (2), p.1-15
Main Author: Koumantos, Panagiotis N
Format: Article
Language:English
Subjects:
Differential equations
Linear equations
Linear evolution equations
Mathematical analysis
Matrix methods
Operators (mathematics)
Relativity
Spacetime
Studies
Theory of relativity
Vector space
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Summary:Let {Tv : v ... 2 [0, c)} the one-parameter semi-module of Lorentz operators on R4 with infinitesimal generator T , where c is the constant speed of light in vacuum. In this paper the space-time of special theory of relativity is considered as affine and ordered vector space. We study the topology of space-time and we consider the velocity differential evolution equation (... - A) y(v) = f(v) where f : [0, c) ... R4 is a given function and the corresponding linear time differential evolution equation, where A is the corresponding matrix of the infinitesimal generator T .(ProQuest: ... denotes formulae/symbols omitted.)
ISSN:1792-6939
1792-6939