Symmetry principles via interactions and symmetry-violations |
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| Institution: | 1. JC STEM Lab of Earth Observations, Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;2. Research Centre for Artificial Intelligence in Geomatics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;3. Research Institute for Land and Space, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;1. Built Environment, School of Arts, Design & Architecture, University of New South Wales, Sydney, NSW 2052, Australia;2. City Analytics, School of Arts, Design & Architecture, University of New South Wales, Sydney, NSW 2052, Australia;3. School of Population Health, University of New South Wales, Sydney, NSW 2052, Australia;4. Urban Science, School of Arts, Design & Architecture, University of New South Wales, Sydney, NSW 2052, Australia;1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan, China;2. GIS Centre, Department of Physical Geography and Ecosystem Science, Lund University, Lund, Sweden;3. Department of Geography and Resource Management and Institute of Space and Earth Information Science, The Chinese University of Hong Kong (CUHK), Shatin, Hong Kong;4. Hainan Surveying and Mapping Data Information Center, Ministry of Natural Resources, Haikou, China |
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| Abstract: | In this work we would like to continue our ideas concerning the principle mentioned at the end of Appl. Math. Comput. 113 (2000) 289]. From now on we will call this principle the principle of symmetry of states. We recall that:Principle of symmetry of states. Any system whose states have the same symmetry can take part in “interaction-chain”, until the symmetry of the states will be maximal and the system will be stable. In this case, the system has a minimal number of different states. Each “intermediate system” can be viewed like a homomorphic image of the anterior.We recall the fact that we have used the automata theory for modelling the systems. The “homomorphic image” words mentioned in the statement of our principle refer to automata-homomorphism. We mention also that we have applied this principle concerning radioactivity, making a conjecture, that we have considered each radioactive nucleus like an automaton and for each radioactive chain (viewed as an interaction-chain) applied our principle.Our purpose in this work is to try to find other examples of interactions which are in concordance with our principle (are all the interactions in concordance with this principle ?). |
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