{"title":"分形/多重分形时空流形上的生物结构动力学","authors":"M. Agop, C. Buzea, D. Vasincu, D. Timofte","doi":"10.5772/intechopen.90360","DOIUrl":null,"url":null,"abstract":"A theory of space-time is built on a fractal/multifractal variety. Thus, consider-ing that both the spatial coordinates and the time are fractal/multifractal, it is shown that both the energy and the non-differentiable mass of any biostructure depend on both the “ state ” of the biostructure and a speed limit of constant value. For the dynamics on Peano fractal/multifractal curves and Compton scale resolutions, it is shown that our results are reduced to those of Einstein relativity. In such a context, it has been shown that the “ chameleon effect ” of cholesterol corresponds to the HDL-LDL state transfer dictated by the spontaneous symmetry breaking through a fractal/multifractal tunnel effect. Then both HDL and LDL become distinct states of the same biostructure as in nuclear physics where proton and neutron are distinct states of the same nucleon. time transfer probability HDL $ LDL, and we show that the HDL ! LDL process is more probable than the inverse one.","PeriodicalId":270584,"journal":{"name":"Progress in Relativity","volume":"75 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamics of Biostructures on a Fractal/Multifractal Space-Time Manifold\",\"authors\":\"M. Agop, C. Buzea, D. Vasincu, D. Timofte\",\"doi\":\"10.5772/intechopen.90360\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A theory of space-time is built on a fractal/multifractal variety. Thus, consider-ing that both the spatial coordinates and the time are fractal/multifractal, it is shown that both the energy and the non-differentiable mass of any biostructure depend on both the “ state ” of the biostructure and a speed limit of constant value. For the dynamics on Peano fractal/multifractal curves and Compton scale resolutions, it is shown that our results are reduced to those of Einstein relativity. In such a context, it has been shown that the “ chameleon effect ” of cholesterol corresponds to the HDL-LDL state transfer dictated by the spontaneous symmetry breaking through a fractal/multifractal tunnel effect. Then both HDL and LDL become distinct states of the same biostructure as in nuclear physics where proton and neutron are distinct states of the same nucleon. time transfer probability HDL $ LDL, and we show that the HDL ! LDL process is more probable than the inverse one.\",\"PeriodicalId\":270584,\"journal\":{\"name\":\"Progress in Relativity\",\"volume\":\"75 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress in Relativity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5772/intechopen.90360\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Relativity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5772/intechopen.90360","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamics of Biostructures on a Fractal/Multifractal Space-Time Manifold
A theory of space-time is built on a fractal/multifractal variety. Thus, consider-ing that both the spatial coordinates and the time are fractal/multifractal, it is shown that both the energy and the non-differentiable mass of any biostructure depend on both the “ state ” of the biostructure and a speed limit of constant value. For the dynamics on Peano fractal/multifractal curves and Compton scale resolutions, it is shown that our results are reduced to those of Einstein relativity. In such a context, it has been shown that the “ chameleon effect ” of cholesterol corresponds to the HDL-LDL state transfer dictated by the spontaneous symmetry breaking through a fractal/multifractal tunnel effect. Then both HDL and LDL become distinct states of the same biostructure as in nuclear physics where proton and neutron are distinct states of the same nucleon. time transfer probability HDL $ LDL, and we show that the HDL ! LDL process is more probable than the inverse one.