We study the replica symmetry breaking (rsb) concepts on a generic level through the prism of recently introduced interpolating/comparison mechanisms for bilinearly indexed (bli) random processes. In particular, \cite{Stojnicnflgscompyx23} introduced a \emph{fully lifted} (fl) interpolating mechanism and \cite{Stojnicsflgscompyx23} developed its a \emph{stationarized fully lifted} (sfl) variant. Here, we present a sfl \emph{matching} mechanism that shows that the results obtained in \cite{Stojnicnflgscompyx23,Stojnicsflgscompyx23} completely correspond to the ones obtained by a statistical physics replica tool with the replica symmetry breaking (rsb) form suggested by Parisi in \cite{Par79,Parisi80,Par80}. The results are very generic as they allow to handle pretty much all bilinear models at once. Moreover, given that the results of \cite{Stojnicnflgscompyx23,Stojnicsflgscompyx23} are extendable to many other forms, the concepts presented here automatically extend to any such forms as well.

翻译：我们从近期提出的双线性索引随机过程插值/比较机制的角度，在通用层面上研究副本对称破缺概念。具体而言，文献\cite{Stojnicnflgscompyx23}提出了完全提升插值机制，文献\cite{Stojnicsflgscompyx23}则发展了其平稳完全提升变体。本文提出一种平稳完全提升匹配机制，证明\cite{Stojnicnflgscompyx23,Stojnicsflgscompyx23}所得结果完全对应于统计物理中由Parisi在\cite{Par79,Parisi80,Par80}提出的副本对称破缺形式副本工具的结果。该结果具有高度通用性，可同时处理几乎所有双线性模型。此外，鉴于\cite{Stojnicnflgscompyx23,Stojnicsflgscompyx23}的结果可推广至多种其他形式，本文提出的概念也将自动适用于这些扩展形式。