Could Long-Term Stability Last Forever?  

作　　者：Maria K. Koleva Maria K. Koleva(Institute of Catalysis, Bulgarian Academy of Sciences, Sofia, Bulgaria)

机构地区：[1]Institute of Catalysis, Bulgarian Academy of Sciences, Sofia, Bulgaria

出　　处：《Journal of Modern Physics》2023年第4期450-460,共11页现代物理（英文）

摘　　要：The subject of the present paper is to prove that the recently introduced conjecture of boundedness puts a ban over the view of stability as asymptotic property. This result comes in sharp contrast with the prescription of the traditional thermodynamics and statistical physics which consider the existence of equilibrium as asymptotic property of all systems. The difference commences from the use of infinitesimal calculus as the basic implement for modelling by the latter while the primary premise of the conjecture of boundedness is sustaining the energy/matter/information permanently bounded and finite. The latter property overrules the infinitesimal calculus as the major implement of modelling because, among all, it is proven that the traditional one suffers unsoluble difficulties.The subject of the present paper is to prove that the recently introduced conjecture of boundedness puts a ban over the view of stability as asymptotic property. This result comes in sharp contrast with the prescription of the traditional thermodynamics and statistical physics which consider the existence of equilibrium as asymptotic property of all systems. The difference commences from the use of infinitesimal calculus as the basic implement for modelling by the latter while the primary premise of the conjecture of boundedness is sustaining the energy/matter/information permanently bounded and finite. The latter property overrules the infinitesimal calculus as the major implement of modelling because, among all, it is proven that the traditional one suffers unsoluble difficulties.

关 键 词：Long-Term Stability Equilibrium Infinitesimal Calculus BOUNDEDNESS Decomposition Theorem Certain Information Universal Mechanism for Collapse 

分 类 号：O17[理学—数学]